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## Go Math Primary School Grade 4 Answer Key PDF for All Chapters | Download Go Math Solutions Key for Grade 4

## Free Chapterwise 4th Grade HMH Go Math Answer Key PDF Download

## Common Core Grade 4 HMH Go Math – Answer Keys

- Chapter 1 Place Value, Addition, and Subtraction to One Million
- Chapter 2 Multiply by 1-Digit Numbers
- Chapter 3 Multiply 2-Digit Numbers
- Chapter 4 Divide by 1-Digit Numbers
- Chapter 5 Factors, Multiples, and Patterns
- Chapter 6 Fraction Equivalence and Comparison
- Chapter 7 Add and Subtract Fractions
- Chapter 8 Multiply Fractions by Whole Numbers
- Chapter 9 Relate Fractions and Decimals
- Chapter 10 Two-Dimensional Figures
- Chapter 11 Angles
- Chapter 12 Relative Sizes of Measurement Units
- Chapter 13 Algebra: Perimeter and Area

Math Expressions Grade 4 Homework and Remembering Answer Key

## Grade 4 Homework Practice FL.

Common Core – Grade 4 – Practice Book

- Chapter 1 Place Value, Addition, and Subtraction to One Million (Pages 1- 20)
- Chapter 2 Multiply by 1-Digit Numbers (Pages 21 – 47)
- Chapter 3 Multiply 2-Digit Numbers (Pages 49- 65)
- Chapter 4 Divide by 1-Digit Numbers (Pages 67 – 93)
- Chapter 5 Factors, Multiples, and Patterns (Pages 95 – 109)
- Chapter 6 Fraction Equivalence and Comparison (Pages 111 – 129)
- Chapter 7 Add and Subtract Fractions (Pages 131 – 153)
- Chapter 8 Multiply Fractions by Whole Numbers (Pages 155- 167)
- Chapter 9 Relate Fractions and Decimals (Pages 169- 185)
- Chapter 10 Two-Dimensional Figures (Pages 187- 204)
- Chapter 11 Angles (Pages 205- 217)
- Chapter 12 Relative Sizes of Measurement Units (Pages 219- 244)
- Chapter 13 Algebra: Perimeter and Area (Pages 245- 258)

## Grade 4 Homework FL. – Answer Keys

- Chapter 2 Multiply by 1-Digit Numbers Review/Test
- Chapter 3 Multiply 2-Digit Numbers Review/Test
- Chapter 4 Divide by 1-Digit Numbers Review/Test
- Chapter 5 Factors, Multiples, and Patterns Review/Test
- Chapter 6 Fraction Equivalence and Comparison Review/Test
- Chapter 7 Add and Subtract Fractions Review/Test
- Chapter 8 Multiply Fractions by Whole Numbers Review/Test
- Chapter 9 Relate Fractions and Decimals Review/Test
- Chapter 10 Two-Dimensional Figures Review/Test
- Chapter 11 Angles Review/Test
- Chapter 12 Relative Sizes of Measurement Units Review/Test
- Chapter 13 Algebra: Perimeter and Area Review/Test

## Key Highlights of Preparing Go Math Grade 4 Solutions Key

- To gain a deeper knowledge of primary school mathematical concepts accessing the HMH 4th std Go Maths Answer Key is best.
- You can get familiar with all the concepts & learn them clearly via Grade 4 Go Math Solutions Key.
- It will make sure that all the solutions covered are explained in detail by the subject experts.
- Deeper insights and detailed solutions aid your preparation and complete your assessments and homework with ease.
- Chapterwise Go Math Grade 4 Answer Key are represented with worked examples that help to improve your subject knowledge & understanding the concepts.

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- Texas Go Math
- Big Ideas Math
- enVision Math
- EngageNY Math
- McGraw Hill My Math
- 180 Days of Math
- Math in Focus Answer Key
- Math Expressions Answer Key
- Privacy Policy

## Go Math Grade 4 Chapter 1 Answer Key Pdf Place Value, Addition, and Subtraction to One Million

## Common Core – Read and Write Numbers (Page 11)

## Common Core – Compare and Order Numbers (Page 18)

## Common Core – Round Numbers (Page 24)

## Common Core – Chapter 1 -Mid-Chapter Checkpoint (Page 29)

Common core – chapter 1 -mid-chapter checkpoint (page 30).

## Common Core – Investigate • Rename Numbers (Page 32)

## Common Core – Add Whole Numbers (Page 39)

## Common Core – Subtract Whole Numbers (Page 44)

## Problem Solving • Comparison Problems with Addition and Subtraction (Page 50)

## Problem Solving • Comparison Problems with Addition and Subtraction (Page 52)

Answer: The pattern shows cube, long, flat, cube. So the shape of the model for 10,000 will be long.

Question 1. The value of the digit 9 is 9 ten thousands, or:

Answer: The place value of the digit 9 in 894,613 is 90,000.

Compare the values of the underlined digits. 2, 3 04 16,1 3 5

Answer: The value of 3 in 2,304 is 10 times the value of 3 in 16,135.

Answer: The value of 3 in 2,304 is 300

Question 2. STEP 2 Find the value of 3 in 16,135.

Find the value of the underlined digit.

Answer: The value of the digit 7 in 703,890 is 700,000.

Answer: The value of the digit 4 in 63,540 is 40.

Answer: The value of the digit 8 in 182,034 is 80,000.

Answer: The value of the digit 5 in 345,890 is 5,000.

Compare the values of the underlined digits.

The value of 2 in 2,000 is ___________ times the value of 2 in 200

Explanation: The value of 2 in 2000 is 10 times the value of 2 in 200.

The value of 4 in 400 is ___________ times the value of 4 in 40

Explanation: The value of 4 in 400 is 10 times the value of 4 in 40.

Answer: The place value of the digit 3 in 230,001 is 30,000.

Answer: The place value of the digit 2 in 46,842 is 2.

Answer: The place value of the digit 9 in 980,650 is 900,000.

Question 12. 6 7 ,908 and 76,908

Answer: The value of 7 in 76,908 is 10 times the value of 7 in 67,908.

Question 13. 546, 3 00 and 3 ,456

Answer: The value of 3 in 3,456 is 10 times the value of 3 in 546,300.

Answer: The value of the digit 3 in 3,899 is 10 times more than the value of the digit 3 in 4,385.

Answer: Shawn needs 13 large cubes, 4 flats, and 5 longs.

Question 14. What is the value of the digit 7 in the population of Memphis?

Answer: The value of digit 7 in 676,640 is 70,000.

Explanation: The population of Memphis is 676,640, so the value of digit 7 in 676,640 is 70,000.

Question 14. What is the value of the digit 1 in the population of Denver?

Answer: The value of the digit 1in 610,345 is 10,000.

Explanation: The population of Denver is 610,345, so the value of the digit 1in 610,345 is 10,000.

Answer: The value of digit 1 in 431,369 is 1000.

Explanation: The population of Cleveland is 431,369, so the value of digit 1 in 431,369 is 1000.

Question 14. Which city’s population has a 4 in the hundred thousands place?

Answer: Cleveland is the city with 4 in the hundred thousands place.

Question 15. How many models of 100 do you need to model 3,200? Explain.

Explanation: As 3 thousands are the same as 30 hundreds, so 30 hundreds+ 2 hundreds= 32 hundreds.

Answer: The value of the digit 8 in 686,147 is 80,000.

Question 18. The value of 7 in 375,081 is 7,000. (a) True (b) False

Explanation: As the digit 7 is in thousands place, so the value of 7 in 375,081 is 70,000.

Question 18. The value of 6 in 269,480 is 600,000. (a) True (b) False

Explanation: As the digit 6 is in thousands place, so the value of 6 in 269,480 is 60,000.

Question 18. The value of 5 in 427,593 is 500. (a) True (b) False

Explanation: As the digit 5 is in hundreds place, so the value of 5 in 427,593 is 500.

Question 18. The value of 1 in 375,081 is 10. (a) True (b) False

Explanation: As the digit 1 is in ones place, so the value of 1 in 375,081 is 1.

Question 18. The value of 4 in 943,268 is 40,000. (a) True (b) False

Explanation: As the digit 4 is in thousands place, so the value of 4 in 943,268 is 40,000.

## Model Place Value Relationships

Answer: The value of 7 in 43,782 is 700

Explanation: As the digit 7 is in hundreds place so the value of 7 in 43,782 is 700.

Answer: The value of 7 in 506,087 is 7.

Explanation: As the digit 7 is in ones place so the value of 7 in 506,087 is 7.

Answer: The value of 9 in 49,254 is 9,000.

Explanation: As the digit 9 is in thousands place so the value of 9 in 49,254 is 9,000.

Answer: The value of 3 in 136,422 is 30,000.

Explanation: As the digit 3 is in thousands place so the value of 3 in 136,422 is 30,000.

Answer: The value of 5 in 673,512 is 500.

Explanation: As the digit 5 is in hundreds place so the value of 5 in 673,512 is 500.

Answer: The value of 8 in 814,295 is 800,000.

Explanation: As the digit 8 is in hundred thousands place so the value of 8 in 814,295 is 800,000.

Answer: The value of 6 in 736,144 is 6,000.

Explanation: As the digit 6 is in thousands place so the value of 6 in 736,144 is 6,000.

The value of 3 in ___________ is ___________ times the value of 3 in ___________ .

Answer: The value of 3 in 6,300 is 10 times the value of 3 in 530.

Question 10. 2 ,783 and 7, 2 83

The value of 2 in ___________ is ___________ times the value of 2 in ___________ .

Answer: The value of 2 in 2,738 is 10 times the value of 2 in 7,238.

Question 11. 3 4 ,258 and 4 7,163

The value of 4 in ___________ is ___________ times the value of 4 in ___________.

Answer: The value of 4 in 47,163 is 10 times the value of 4 in 34,258.

Question 12. 503,49 7 and 26,4 7 5

The value of 7 in ___________ is ___________ times the value of 7 in ___________ .

Answer: The value of 7 in 26,475 is 10 times the value of 7 in 503,497.

Question 13. What is the value of the digit 9 in the attendance at the Redskins vs. Titans game?

The value of 9 is ___________ .

Answer: The value of 9 is 9,000.

Explanation: As the digit 9 is in thousands place, so the value of the digit 9 in 69,143 is 9,000.

Question 14. The attendance at which game has a 7 in the ten thousands place?

Answer: Ravens vs. Panthers attendance is 73,021

Explanation: The attendance at Ravens vs. Panthers game has a 7 in the ten thousands place.

Explanation: The number which has 3 in tens place is 1,237.

Explanation: Amber leaves home for school at 8:10.

Explanation: Jeremy draws a square, as it’s all sides are equal.

Use place value to read and write numbers.

Answer: Standard Form: 92,170. Expanded Form: 90,000+2,000+100+70+0.

Question 2. Standard Form: 200,007 Word Form: two hundred ___________ Expanded Form: ___________ + 7

Answer: Word Form: Two hundred thousand, seven. Expanded Form: 200,000+7

Question 1. How can you use place value and period names to read and write 324,904 in word form?

Read and write the number in two other forms.

Question 2. four hundred eight thousand, seventeen

Answer: Standard Form: 408,017. Expanded Form: 400,000+8,000+10+7.

Question 4. five hundred eight thousand

Answer: Standard Form: 508,000. Expanded Form: 500,000+8,000.

Question 5. forty thousand, six hundred nineteen

Answer: Standard Form: 40,619. Expanded Form: 40,000+600+10+9.

Question 7. 400,000 + 60,000 + 5,000 + 100

Answer: Standard Form: 465,100. Word Form: Four hundred, sixty-five thousand, one hundred.

Explanation: The standard form of fifteen thousand, six hundred nine is 15,609.

Answer: The word form of 93,172 is ninety-three thousand one hundred seventy-two.

Answer: The value of 6 in 263,148 is 60,000.

Answer: 16,918 has a greater value in the thousands place.

Who had the greater sum? What was the greater sum?

Answer: Victoria had a greater sum and the sum is 8,935.

Question 14. Write the population of Raleigh in expanded form and word form.

Answer: The error in Sophia’s expanded form is 600,000+5,000+900+70.

Answer: Mark’s score will be 300,000+30,000= 330,000.

Question 16. b. How can you use what you know about place value to find what Mark’s score could be?

Question 16. c. Draw a diagram to show one way to solve the problem.

Question 3. 600,000 + 80,000 + 10

Answer: Word Form: Six hundred eighty thousand ten. Standard Form: 680,010.

Question 4. Write the name of the period that has the digits 913.

Answer: The name of the period that has the digits 913 is Thousand

Question 5. Write the digit in the ten thousands place.

Explanation: In 913,256, the digit 1 is in the ten thousands place.

Question 6. Write the value of the digit 9.

Answer: The value of 9 is nine hundred thousands.

Question 7. Which state had a population of eight hundred four thousand, one hundred ninety-four?

Question 8. What is the value of the digit 8 in Alaska’s population?

Explanation: The value of the digit 8 in Alaska’s population is 80,000.

Explanation: The value of the digit 4 in the number 84,230 is 4,000.

Question 3. An ant has 6 legs. How many legs do 8 ants have in all? (a) 14 (b) 40 (c) 45 (d) 48

Explanation: As ant has 6 legs, so for 8 ants 6×8= 48 legs.

Explanation: The value of 6 in 106,534 is 6,000.

Explanation: The number 15,327 < 15,341 as 327 is less than 341.

Question 2. $631,328 _______ $640,009

Explanation: The number $631,328 < $640,009.

Question 3. 56,991 _______ 52,880

Explanation: The number 56,991 > 52,880.

Question 4. 708,561 _______ 629,672

Explanation: The number 708,561 > 629,672.

Question 5. 143,062 _______ 98,643

Explanation: The number 143,062 > 98,643.

Question 6. 20,650; 21,150; 20,890 ________ ; ________ ; ________.

Explanation: The numbes from greatest to least are 21,150>20,890>20,650.

Common Core – Read and Write Numbers (Page 19)

Question 7. $2,212 _______ $2,600

Explanation: The number $2,212 < $2,600.

Question 8. 88,304 _______ 88,304

Explanation: The number 88,304 = 88,304.

Question 9. $524,116 _______ $61,090

Explanation: The number $524,116 > $61,090.

Question 10. 751,272 _______ 851,001

Explanation: The number 751,272 < 851,001.

Question 11. 41,090; 41,190; 40,009 _______ ; _______ ; _______

Explanation: The numbers from least to greatest are 40,009<41,090<41,190.

Question 12. 910,763; 912,005; 95,408 _______ ; _______ ; _______

Answer: 95,408<910,763<912,005.

Explanation: The numbers from least to greatest are 95,408<910,763<912,005.

Identify Relationships Algebra Write all of the digits that can replace each

Question 13. 567 < 5 _______ 5 < 582

Explanation: The suitable number to fit the equation is 7, so 567<575<582.

Question 14. 464,545 > 4 _______ 3,535 > 443,550 464,545 > 4 _______ 3,535 > 443,550

Answer: 464,545>453,535>443,550. 464,545>463,535>443,550.

Answer: 3 is less than 5 but 30,000 is greater than 5,000 that is Max’s error.

Explanation: We can see from the above figure that september month has 5000+2500= 7500.

Question 19. How many more campers were there in July and August than in June and September?

Answer: 10,000 more campers in July and August.

Answer: There will be four full symbols and one half symbol.

Question 21. What’s the Question?

Compare: 643,251; 633,512; and 633,893. The answer is 633,512.

Answer: What is the least number?

Answer: 12,250 and 12,434 met the daily goal and 10,505 didn’t meet the daily goal.

Question 2. $1,323 _______ $1,400

Explanation: The number $1,323 is less than $1,400.

Question 3. 52,692 _______ 52,692

Explanation: The number 52,692 is equal to 52,692.

Question 4. $413,005 _______ $62,910

Explanation: The number $413,005 is greater than $62,910

Question 5. 382,144 _______ 382,144

Explanation: The number 382,144 is equal to 382,144

Question 6. 157,932 _______ 200,013

Explanation: The number 157,932 is less than 200,013.

Question 7. 401,322 _______ 410,322

Explanation: The number 401,322 is less than 410,322.

Question 8. 989,063 _______ 980,639

Explanation: The number 989,063 is greater than 980,639.

Question 9. 258,766 _______ 258,596

Explanation: The number 258,766 is greater than 258,596.

Question 10. 23,710; 23,751; 23,715 _______< _______ < _______

Explanation: The numbers from least to greatest are 23,710<23,715<23,751

Question 11. 52,701; 54,025; 5,206 _______ < _______ < _______

Explanation: The numbers from least to greatest are 5,206<52,701<54,025.

Question 12. 465,321; 456,321; 456,231 _______ < _______ < _______

Answer: 456,231<456,321<465,321.

Explanation: The numbers from least to greatest are 456,231<456,321<465,321.

Question 13. $330,820; $329,854; $303,962 _______ < _______ < _______

Answer: $329,854<$303,962<$330,820.

Explanation: The numbers from least to greatest $329,854<$303,962<$330,820.

Answer: November, October, December.

Answer: Colorado, Arizona, New Mexico.

Explanation: The numbers in order from greatest to least is 20,433, 20,343, 20,043.

Explanation: The perimeter of the rectangle is 2(l+w) = 2(8+6) = 2(14) = 28 inches.

Explanation: The value of the digit 8 in 826,140 is 800,000.

Explanation: The expanded form of 680,705 is 600,000+80,000+700+5

Question 1. What number is halfway between 100,000 and 200,000?

Explanation: The number is halfway between 100,000 and 200,000 is 150,000.

Question 3. What number is halfway between 70,000 and 80,000?

Explanation: The number is halfway between 70,000 and 80,000 is 75,000.

Question 4. What is 75,000 rounded to the nearest ten thousand? Explain.

Explanation: As 75,000 is exactly halfway between 70,000 and 80,000 rounds to the greater number.

Round to the place value of the underlined digit.

Explanation: The place value of 6 in 64,999 is 60,000.

Explanation: The place value of 8 in 850,000 is 800,000.

Explanation: The place value of 1 in 301,587 is 1,000.

Explanation: The place value of 0 in 10,832 is 0 because 0 is in thousands place, so 0×1000= 0.

Answer: Yes, 300,000 is a reasonable estimate.

Explanation: As 255,113 is closer to 300,000 than 200,000. So 300,000 is a reasonable estimate.

Question 9. b. 249,899 (a) yes (b) no

Question 9. c. 252,348 (a) yes (b) no

Question 9. d. 389,001 (a) yes (b) no

Question 9. e. 305,992 (a) yes (b) no

Change all the digits to the right of the rounding place to zero.

Question 13. What is the height of Mt. Bona rounded to the nearest ten thousand feet? _______ feet

Explanation: The number rounded to the nearest thousand is 247,000.

Explanation: The number $546,322 is greater than $540,997.

Explanation: 714,601 is greater than 714,587.

Explanation: The word form of 40,583 is forty thousand, five hundred eighty-three.

Question 1. The _______ of 23,850 is 20,000 + 3,000 + 800 + 50.

Explanation: The expanded form of 23,850 is 20,000 + 3,000 + 800 + 50.

Question 2. You can _______ to find about how much or how many.

Explanation: You can round to find about how much or how many.

Question 3. In 192,860 the digits 1, 9, and 2 are in the same _________

Explanation: In 192,860 the digits 1, 9, and 2 are in the same period.

Explanation: The place value of the digit 8 in 380,671 is 80,000.

Explanation: The place value of the digit 9 in 10,698 is 90.

Explanation: The place value of the digit 6 in 650,234 is 600,00.

Write the number in two other forms.

Question 8. 300,000 + 5,000 + 20 + 6

Answer: Standard form: 305,026. Word form: three hundred five thousand twenty six.

Question 9. 457,380 _______ 458,590

Explanation: The number 457,380 is less than 458,590.

Question 10. 390,040 _______ 39,040

Explanation: The number 390,040 is greater than 39,040.

Question 11. 11,809 _______ 11,980

Explanation: The number 11,809 is greater than 11,980.

Round to the place of the underlined digit .

Explanation: The place value of the digit 1 in 140,250 is 100,000.

Explanation: The place value of the digit 4 in 10,450 is 400.

Explanation: The place value of the digit 6 in 126,234 is 6,000.

Explanation: The standard form of three hundred twenty-three thousand is 323,000.

Explanation: Mt. Rainier is the highest volcano in the Cascade Range with a height of 14,410 ft.

Question 2. Can you model 1,200 using only longs? Explain.

Question 3. You renamed 1,200 as hundreds. How can you rename 1,200 as tens? Explain.

Answer: We can rename 5,200 as 52 hundred.

Rename the number. Draw a quick picture to help.

Explanation: As each long is a ten, so we need 15 longs to model 150.

Question 2 (request help) 1,400 _______ hundreds

Question 3. 2 thousands 3 hundreds _______ hundreds

Explanation: As each box is a hundred, so we need 23 box to model 2,300.

Question 4. 13 hundreds _______ thousand _______ hundreds

Answer: 1 thousand and 3 hundred.

Rename the number. Use the place-value chart to help.

Question 7 (request help) 580= _______ tens

Question 8. 740,000= _______ten thousands

Question 9. 8 hundreds 4 tens = 84 _______

Question 10. 29 thousands = _______

Question 11. a. What information do you need to use?

Answer: The store is ordering 3,000 remote control cars and the cars come in the set of 10.

Question 11. b. What do you need to find?

Answer: We need to find how many sets of 10 the store need to order.

Question 11. c. How can renaming numbers help you solve this problem?

Answer: We can rename 3,000 as tens to find how many sets of 10 make 3,000.

Question 11. d. Describe a strategy you can use to solve the problem.

Answer: We can use place value chart to see how many tens are in 3,000.

Question 11. e. How many sets of 10 remote control cars does the store need to buy? _______ sets

Explanation: 300 sets of 10 remote control cars store needs to buy.

For numbers 14a–14d, select True or False for each statement.

Question 14. a. 9 hundreds 3 tens can be renamed as 39 tens. (a) True (b) False

Explanation: 9 hundreds 3 tens can rename as 93 tens.

Question 14. b. 370,000 can be renamed as 37 ten thousands. (a) True (b) False

Explanation: Yes, 370,000 can be renamed as 37 ten thousands.

Question 14. c. 780 can be renamed as 78 tens. (a) True (b) False

Explanation: Yes, 780 can be renamed as 78 tens.

Question 14. d. 42,000 can be renamed as 42 thousands. (a) True (b) False

Explanation: Yes, 42,000 can be renamed as 42 thousands.

Rename Numbers Rename the number. Use the place-value chart to help.

Question 2. 805 tens = _______

Question 3. 24 ten thousands = ________

Question 4. 720 = _______ tens

Explanation: The number 720 can be rename as 72 tens.

Question 5. 4 thousands 7 hundreds = 47 _______

Explanation: 4 thousands 7 hundreds can rename as 47 hundred.

Question 6. 25,600 = _______ hundreds

Explanation: 25,600 can rename as 256 hundred.

Question 7. 204 thousands = _______

Explaantion: 204 thousands can rename as 204,000.

Explanation: Ann score is greater than the level 3 score and the score is 14,205.

Explanation: The statement b is correct, as 3 in 350 is 100 times the value of the 3 in 403.

Explanation: 0 lemon muffins are there.

Question 2. 72,931 + 18,563 Estimate: _______ Sum: _______

Answer: Estimate: 90,000. Sum: 91,494.

Explanation: The sum of 72,931 + 18,563= 91,494.

Question 3. 432,068 + 239,576 Estimate: _______ Sum: _______

Answer: Estimate: 700,000. Sum: 671,644.

Explanation: The sum of 432,068 + 239,576= 671,644.

Question 4. 64,505 + 38,972 Estimate: _______ Sum: _______

Answer: Estimate: 100,000. Sum: 103,477.

Explanation: The sum of 64,505 + 38,972= 103,477.

Question 5. 839,136 + 120,193 Estimate: _______ Sum: _______

Answer: Estimate: 960,000. Sum: 959,329.

Explanation: The sum of 839,136 + 120,193= 959,329.

Question 6. 186,231 + 88,941 Estimate: _______ Sum: _______

Answer: Estimate: 280,000. Sum: 275,172.

EXplanation: The sum of 186,231 + 88,941= 275,172.

Question 7. 744,201 + 168,900 Estimate: _______ Sum: _______

Answer: Estimate: 900,000. Sum: 913,101.

Explanation: The sum of 744,201 + 168,900= 913,101.

Question 10. (4,580 + 5,008) + 2,351 = 4,580 + ( _______ +2,351)

Question 11. 7,801+ _______ =4,890+7,801

Question 12. 2,592 + 3,385 = 3,385+ _______

Answer: Estimate: 350,000. Sum: 352,222.

Explanation: The combined population of the three major Alaskan cities are 352,222.

Answer: First 5: 5,000. Second 5: 50.

Add Whole Numbers Estimate. Then find the sum.

Question 2. 73,404 + 27,865 Estimate: _______ Sum: _______

Answer: Estimate: 100,000. Sum: 101,269.

Explanation: 73,404 –> 70,000 +27,865 –>+ 30,000 ———– ———– 101,269 100,000

Question 3. 404,446 + 396,755 Estimate: _______ Sum: _______

Answer: Estimate: 800,000. Sum: 801,201.

Explanation: 404,446 –> 400,000 +396,755 –>+ 400,000 ———– ———– 801,201 800,000

Question 4. 137,638 + 52,091 Estimate: _______ Sum: _______

Answer: Estimate: 200,000. Sum: 189,729.

Explanation: 137,638 –> 100,000 + 52,091 –>+ 100,000 ———– ———– 189,729 200,000

Question 5. 200,629 + 28,542 Estimate: _______ Sum: _______

Answer: Estimate: 250,000. Sum: 229,171.

Explanation: 200,629 –> 200,000 + 28,542 –>+ 50,000 ———– ———– 229,171 250,000

Question 6. 212,514 + 396,705 Estimate: _______ Sum: _______

Estimate: 600,000. Sum: 609,219.

Explanation: 212,514 –> 200,000 + 396,705 –>+ 400,000 ———– ———– 609,219 600,000

Question 7. 324,867 + 6,233 Estimate: _______ Sum: _______

Estimate: 331,000 Sum: 331,100

Explanation: 324,867 –> 325,000 + 6,233 –>+ 6,000 ———– ———– 331,100 331,000

Question 8. 462,809 + 256,738 Estimate: _______ Sum: _______

Estimate: 800,000. Sum: 719,547.

Explanation: 462,809 –> 500,000 + 256,738 –>+ 300,000 ———– ———– 719,547 800,000.

Estimate: _______ Sum: _______

Estimate: 900,000 Sum: 907,025

Explanation: 624,836 –> 600,000 + 282,189 –>+ 300,000 ———– ———– 907,025 900,000.

Question 10. Beth and Cade were on one team. What was their total score? _______

Answer: The total score is 407,502.

Question 11. Dillan and Elaine were on the other team. What was their total score? _______

Question 12. Which team scored the most points? _______

Answer: Second-team scores the most points.

Explanation: Second-team scores the most points which are 409,928 whereas 1st team scores 407,502.

Explanation: The number 121,580 is rounded to the nearest thousand is 122,000.

Answer: 749,340; 740,999; 740,256.

Explanation: The numbers in order from greatest to least is 749,340; 740,999; 740,256.

Explanation: $413,115 < $431,511.

Estimate. Then find the difference.

Question 2. 14,659 − 11,584 Estimate: _______ Difference: _______

14,659 –> 15,000 – 11,584 –> -12,000 ———– ———– 3,075 3,000

Question 3. 456,912 − 37,800 Estimate: _______ Difference: _______

Estimate: 420,000. Sum: 419,112.

456,912 –> 460,000 – 37,800 –> – 40,000 ———– ———– 419,112 420,000

Question 4. 407,001 − 184,652 Estimate: _______ Difference: _______

Estimate: 210,000. Sum: 222,349.

407,001 –> 410,000 – 184,652 –> – 200,000 ———– ———– 222,349 210,000

Question 5. 942,385 − 461,803 Estimate: _______ Difference: _______

Estimate: 400,000. Sum: 480,582.

942,385 –> 900,000 – 461,803 –> -500,000 ———– ———– 480,582 400,000

Question 6. 798,300 − 348,659 Estimate: _______ Difference: _______

Estimate: 500,000. Sum: 449,641.

798,300 –> 800,000 – 348,659 –> -300,000 ———– ———– 449,641 500,000

Question 7. 300,980 − 159,000 Estimate: _______ Difference: _______

Estimate: 141,000. Sum: 141,980.

300,980 –> 301,000 – 159,000 –> -160,000 ———– ———– 141,980 141,000

Practice: Copy and Solve Subtract. Add to check.

Question 8. 653,809 – 256,034 = _______

Explanation: 653,809 – 256,034 = 397,775.

Question 9. 258,197 – 64,500 = _______’

Explanation: 258,197 – 64,500 = 163,697.

Question 10. 496,004 – 398,450 = _______

Explanation: 496,004 – 398,450 = 97,554.

Question 11. 500,000 – 145,609 = _______

Explanation: 500,000 – 145,609= 354,391.

Reason Abstractly Algebra Find the missing digit.

Question 12. 6,532 − 4,1_5 = 2,407

Explanation: To find the missing digit we will subtract 6,532-2,407= 4,125.

Question 13. _08,665−659,420 = 149,245

Explanation: To find the missing digit we will add 149,245+659,420= 808,665.

Question 14. 697,320 − 432,_08 = 264,712

Explanation: To find the missing digit we will subtract 697,320-264,712= 432,608.

Answer: 106,341-58,560= 47,781 boxes.

Read how Janice solved the problem. Find her error.

Solve the problem and correct her error.

Answer: Texas is 256,194 square miles larger than Maryland.

Question 20. Verify Reasoning of Others Describe Janice’s error.

Answer: Janice did not align the digits by place value when subtracted the numbers.

Subtract Whole Numbers Estimate. Then find the difference.

Question 2. 428,731 – 175,842 Estimate: ______ Difference: ______

Answer: Estimate: 200,000. Difference: 252,889.

Explanation: 428,731 – 175,842= 252,889 400,000 – 200,000= 200,000.

Question 3. 920,026 – 535,722 Estimate: ______ Difference: ______

Answer: Estimate: 400,000. Difference: 384,304.

Explanation: 920,026 – 535,722= 384,304 900,000 – 500,000= 400,000.

Question 4. 253,495 – 48,617 Estimate: ______ Difference: ______

Answer: Estimate: 200,000. Difference: 204,878.

Explanation: 253,495 – 48,617= 204,878. 250,000 – 50,000= 200,000.

Question 5. 735,249 – 575,388 = ______ ______ + ______ = ______

Answer: 159,861. 575,388+159,861= 735,249.

Explanation: 735,249 – 575,388= 159,861. 575,388+159,861= 735,249.

Question 6. 512,724 – 96,473 = ______ ______ + ______ = ______

Answer: 416,251 96,473+416,251= 512,724.

Explanation: 512,724 – 96,473 = 416,251 96,473+416,251= 512,724.

Question 7. 600,000 – 145,782 = _______ _______ + ______ = _______

Answer: 454,218. 145,782+454,218= 600,000.

Explanation: 600,000 – 145,782 = 454,218. 145,782+454,218= 600,000.

Explanation: The standard form of “two hundred seven thousand, forty-eight” is 207,048.

Explanation: The nearest thousand of the number 275,608 is 276,000.

Explanation: The value of the digit 8 in 28,175 is 8,000.

Question 1. What do I need to find?

Answer: We need to find the number of feet the balloon traveled during the second trip.

Question 2. What information do I need to use?

Question 3. How will I use the information?

Question 4. How far did it travel during the second trip? And ______ feet

Answer: The ballon traveled 5,960 feet during the second trip.

Question 5. Is your answer reasonable? Explain how you know.

Answer: Yes, the answer is reasonable.

## P roblem Solving • Comparison Problems with Addition and Subtraction (Page 51)

Question 1. First, draw a diagram to show the parts of the problem.

Explanation: 68,986-64,997= 3,989 feet.

Question 1. Next, write the problem you need to solve.

Explanation: The 2005 record was 68,986-64,997= 3,989 feet higher.

Answer: 2,215 ground crew members.

Explanation: Number of miles did he flew are during 2002 are 20,482-14,235= 6,247 miles.

Answer: The combined distance is 20,038 miles, which is less than 20,482 miles.

Problem Solving • Comparasion Problems with Addition and Substraction

Use the information in the table for 1–3.

Answer: Lake Michigan 22,278 square miles.

Explanation: 7,340+14,938= 22,278.

Explanation: $832,458 is greater than $832,485.

Explanation: The number 399,713 rounded to the nearest thousand is 400,000.

Explanation: The exact number of people who visited the art museum is 352,483.

Answer: 703,209>702,309, 703,209>703,029.

Explanation: The numbers 702,309, 703,029 are less than 703,209.

Explanation: The 4 represents 4,000 and 5 represents 500.

Explanation: Comparing the heights by place value position.

Explanation: When 265,888 is rounded off to the nearest ten thousand we will get 270,000.

Question 7. b. 260,987 i. yes ii. no

Explanation: When 260,987 is rounded off to the nearest ten thousand we will get 260,000.

Question 7. c. 274,499 i. yes ii. no

Explanation: When 274,499 is rounded off to the nearest ten thousand we will get 270,000.

Question 7. d. 206,636 i. yes ii. no

Explanation: When 206,636 is rounded off to the nearest ten thousand we will get 210,000.

Question 8. How many children are under 10 years old? Show your work. _____ children

Explanation: Children under 10 years old are 35,010+31,406= 66,416 children.

Question 9. How many people are between the ages of 20 and 49? Show your work. _____ people

Explanation: People between the ages of 20 and 49 are 115,279+92,630= 207,909 people.

Explanation: False, because the value of the digit 7 in 375,092 is 70,000.

Question 11. b. The value of 5 in 427,593 is 500. i. True ii. False

Explanation: As 5 is in hundreds place, so the value of the digit 5 in 427,593 is 500.

Question 11. c. The value of 2 in 749,021 is 200. i. True ii. False

Explanation: False, because the value of the digit 2 in 749,021 is 20.

Question 11. d. The value of 4 in 842,063 is 40,000. i. True ii. False

Explanation: The value of the digit 4 in the digit 842,063 is 40,000.

Answer: 10,000 less than 24,576 is greater than 1,000 less than 14,576.

Answer: 45,678 – 5,000 757,234 – 50,000 13,564 – 500. 3,450 – 50.

Answer: Game 3; Game 1; Game2.

Answer: There are 24 students in the chorus.

Draw a model and write an equation.

Question 2. 6 times as many as 2 is 12.

Question 3. 20 is 4 times as many as 5.

Question 4. 18 = 9 × 2 _____ is _____ times as many as _____ .

Answer: 18 is 9 times as many as 2.

Question 5. 8 × 4 = 32 _____ times as many as _____ is _____

Answer: 8 times as many as 4 is 32.

Question 6. 5 × 7 = 35 _____ times as many as _____ is _____ .

Answer: 5 times as many as 7 is 35.

Question 7. 54 = 6 × 9 _____ is _____ times as many as _____ .

Answer: 54 is 6 times as many as 9.

Answer: Cooper bought 12 cans of cat food, which is 4 times the number of cans that he has now.

Answer: We need to find how many baseball cards Han has.

Question 11. b. How can you use a model to find the number of cards Han has?

Answer: By drawing a comparison model we can find the number of cards Han has.

Question 11. c. Draw the model.

Question 11. d. Write an equation and solve.

Answer: Han has 9 baseball cards.

Explanation: 72= 8×n n= 72÷8 = 9. So, Han has 9 baseball cards.

Answer: 24 is 6 times as many as 4. 24 is 4 times as many as 6.

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Grade4HMHGoMath–AnswerKeys Chapter1Place Value, Addition, and Subtraction to One Million Chapter2Multiply by1-Digit Numbers Chapter 3 Multiply2-Digit Numbers Chapter4Divide by1-Digit Numbers Chapter 5 Factors, Multiples, and Patterns Chapter 6 Fraction Equivalence and Comparison Chapter 7 Add and Subtract FractionsThis

4thGradeGoMathvideo covers the material inLesson1.2: Read and Write Numbers. Thislessonincludes writing numbers in standard, word and expanded form and comparing...Common Core

Grade4HMHGoMath–AnswerKeys Chapter1Place Value, Addition, and Subtraction to One Million Chapter2Multiply by1-Digit Numbers Chapter 3 Multiply2-Digit Numbers Chapter4Divide by1-Digit Numbers Chapter 5 Factors, Multiples, and Patterns Chapter 6 Fraction Equivalence and Comparison Chapter 7 Add and Subtract FractionsGo Math! 4Common Coreanswers& resources | Lumos Learning Publisher: Houghton Mifflin Harcourt import_contactsGo Math! 4Common Core Title :Go Math! 4Common Core Publisher : Houghton Mifflin HarcourtGrade:4ISBN : 054758783X ISBN-13 : 9780547587837 collections_bookmarkAll the Concepts in the CCSS

GoMathAnswerKey for Grades Kindergarten,1,2, 3,4, 5, 6, 7, 8 are given with straightforward and detailed descriptions. Practicing from theGoMathAnswerKey for Grades K to 8 will provide agradebygraderoadmap and prepares students for College Readiness.Common Core

Grade4HMHGoMath–AnswerKeys Chapter1Place Value, Addition, and Subtraction to One Million Chapter2Multiply by1-Digit Numbers Chapter 3 Multiply2-Digit Numbers Chapter4Divide by1-Digit Numbers Chapter 5 Factors, Multiples, and Patterns Chapter 6 Fraction Equivalence and Comparison Chapter 7 Add and Subtract FractionsMcGraw Hill

MathGrade8Lesson18.2AnswerKey Line Segments and Rays; McGraw HillMathGrade8Lesson20.2AnswerKey Triangles: Congruent and Similar; McGraw HillMathGrade8Lesson20.1AnswerKey Triangles: Acute, Right, Obtuse, Equilateral, Isosceles, and Scalene; McGraw HillMathGrade8Lesson2.2AnswerKey Problem SolvingISBN-13 : 9780153802652. collections_bookmark. Use the table below to find videos, mobile apps, worksheets and lessons that supplement

Go Math!Florida4th Grade. Chapter1: Use and Represent Whole Numbers. Apps.