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Working with Whole Numbers

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1 Lesson 1.1 Numbers to100,000 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Practice 1 Numbers to 100,000

Write each number in standard form.

Working with

Whole Numbers

C

h

ap

t

er 1

1. seventy thousand, eight hundred twenty-three

2. sixty-two thousand, four hundred eighteen

3. ninety-seven thousand, four hundred

4. thirty thousand, eleven

Write each number in word form.

5. 12,021

6. 70,009

7. 40,807

Example

seventy-two thousand, four hundred sixty

Example 56,548

72,460

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Count on and fill in the blanks.

8.  81,000     82,000     83,000           

9.  30,000     40,000     50,000           

10.  10,000     15,000     20,000     

Write the missing words and digits for each number.

11.  sixty-one thousand,           1,001

12.  twenty-four   , three hundred ten    24,3 0

13.  forty-five thousand,   hundred six    4 ,206

14.  thirty-six thousand, one hundred      36, 89

Make each 5-digit number using all the cards. Do not begin a number with ‘0.’

5 7 2 0 9 15.  An odd number:  16.  An even number:  17.  A number with zero in the hundreds place:  18.  A number beginning with the greatest digit:  19.  A number with 2 in the tens place and 5 in the ones place: 20.  A number ending with 7:    Example  thousand, five   twelve 2,51 

two

hundred

2

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3 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Practice 2 Numbers to 100,000

Complete. In 71,486,

1. the digit 1 is in the place.

2. the digit 4 is in the place.

3. the digit 8 is in the place.

4. the digit 6 is in the place.

Find the value of each digit.

In 65,239,

5. the digit 5 stands for .

6. the digit 2 stands for .

7. the digit 3 stands for .

8. the digit 9 stands for .

Example

the digit 7 is in the place.

Example

the digit 6 stands for .

Lesson 1.2 Numbers to100,000

ten thousands

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Write each number using the clues. 9.

The value of the digit 1 is 100. The value of the digit 5 is 50. The value of the digit 3 is 3.

The value of the digit 4 is 40,000. The value of the digit 2 is 2,000.

The number is .

10.

The digit 4 is in the hundreds place. The digit 2 is in the ten thousands place. The digit 9 is in the tens place.

The digit 0 is in the ones place. The digit 5 is in the thousands place.

The number is .

Write the missing numbers and words.

Example In 36,172,

the digit 2 stands for ones.

the digit 6 is in the place.

the digit in the ten thousands place is .

the value of the digit 7 is .

the digit is in the hundreds place and its value is .

2

thousands

3

70

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5 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Write the missing numbers and words.

In 52,814,

11. the digit 4 stands for ones.

12. the digit 1 is in the place.

13. the digit in the ten thousands place is .

14. the value of the digit 8 is .

15. the digit is in the thousands place and its value is .

Complete.

16. 72,439 = 7 ten thousands + thousands + 4 hundreds + 3 tens + 9 ones

17. 99,088 = 9 ten thousands + 9 thousands

+ hundreds + 8 tens + 8 ones Example

38,295 = ten thousands + 8 thousands + 2 hundreds + 9 tens + 5 ones

Lesson 1.2 Numbers to100,000

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed. Example 51,476 = 50,000 + + 400 + 70 + 6

Complete the expanded form.

18. 36,427 = 30,000 + + 400 + 20 + 7 19. 17,503 = 10,000 + 7,000 + + 3 20. 45,080 = 40,000 + + 80 21. 20,000 + 6,000 + 20 + 5 = 22. 5 + 60 + 80,000 = Solve.

23. Color the puzzle pieces that show the answers in Exercises 18 to 22.

50 8,000 6,000 80,065 80 26,025 8,650 2,625 500 800 600 5,000 60,000

What is this picture?

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7 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Practice 3 Comparing Numbers to 100,000

Write > or < in each .

1. 63,809 36,908 2. 86,415 86,591

3. 45,638 8,594 4. 60,960 69,999

Compare the eight numbers in Exercises 1 to 4. 5. Which number is the greatest?

6. Which number is the least?

Order these numbers.

Example

15,408 12,508

Example

Begin with the least:

52,081 63,456 51,125

Begin with the greatest:

76,332 74,236 81,152

. means greater than. , means less than.

>

51,125 52,081 63,456

81,152 76,332 74,236

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Order these numbers. 7. Begin with the least:

97,136 79,631 96,137

8. Begin with the greatest:

80,000 9,469 81,074

Write the missing numbers.

9. 10,000 more than 56,821 is . 10. is 50,000 less than 79,895. 11. 2,000 less than 18,563 is . 12. is 3,000 more than 48,200. Example 1,000 more than 82,586 is . is 40,000 less than 57,312.

17,312

83,586

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9 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Use the number line to count on or back.

Count on in steps of 4,000 from 20,000. Then write the number that you land on. The fi rst one has been done for you.

20,000 30,000 40,000 50,000

13. 1 step

14. 3 steps

Count back in steps of 3,000 from 50,000. Then write the number that you land on.

15. 6 steps

16. 8 steps

Lesson 1.3 ComparingNumbers to100,000

I landed on 24,000 after 1 step.

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Continue or complete the number patterns. Then write the rule for each pattern.

17.  96,500     86,500     76,500        Rule:  18.  39,860           41,860           43,860   Rule:  19.  25,000     20,000     15,000              Rule:  20.       10,349     10,849           12,349   Rule:  21.  93,308     94,313     95,318        Rule:  22.  85,765     87,775     89,985     91,995        Rule:  Example 39,580     49,580     59,580            Rule: 

Add 10,000.

69,580

79,580

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11 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Lesson 1.4 Adding and Subtracting Multi-DigitWhole Numbers

Add.

1. 6 3, 2 7 1  1 2, 7 0 8 2. 9 1, 5 6 0  7, 2 3 8 3. 2 1, 1 5 4  7 8, 8 4 5 4. 6 4, 8 0 3  5, 0 9 2 5. 3 6, 5 2 5  5 5, 2 8 3 6. 4 7, 9 0 2  1 8, 6 4 5 7. 6 5, 2 8 6  2 9, 8 1 7 8. 7 1, 8 6 3  9, 3 8 6 9. 2 6, 9 3 1  9, 5 7 9 10. 8 6, 3 2 9  7, 8 5 1

Practice 4 Adding and Subtracting

Multi-Digit Whole Numbers

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

Subtract.

11. 6 2, 8 1 4  6, 2 5 9 12. 8 8, 2 5 3  5 4, 7 4 8 13. 5 9, 1 2 5  6, 3 6 7 14. 6, 4 8 6  8 9 6 15. 6 0, 0 0 0  5 4, 3 6 2 16. 5 0, 0 0 0  4 9, 9 9 5 17. 6 0, 2 5 0  8, 7 6 4 18. 2 6, 5 3 3  8, 9 7 8 19. 7 8, 9 3 2  6 3, 9 0 0

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13 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

1. Kim wrote these statements about the three numbers shown here.

Do you agree? Explain why or why not. 3,869 is less than 85,945.

85,691 is greater than 85,945.

2. Sam continued this number pattern. Do you agree? Explain why or why not.

5,400 10,400 10,600 15,600 15,800 85,691 85,945 3,869 Chapter1 Working with Whole Numbers 20,800

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

3. Read the example. Then write your own 5-digit number and clues. Ask a friend or family member to solve your puzzle.

45,870

The digit 5 is in the thousands place. The value of the digit 7 is 70.

The digit in the hundreds place is 10 2 2.

The digit in the ten thousands place is 1 less than the digit in the thousands place.

The digit in the ones place is 0.

Number:

Clues: Example

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15 © M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed. Complete.

A 5-digit number is made up of different digits that are all odd numbers.

1. What is the greatest possible number?

2. What is the value of the digit in the hundreds place?

Continue the pattern.

3. 412 427 442 457 472

Fill in the blanks.

4. What is 3 ten thousands 1 14 tens 1 16 ones?

5. 7 thousands = hundreds 10 tens

Answer these questions.

In 7 , 8 9,

6. what is the value of the digit 5 in the ?

7. what is the value of the digit 5 in the ?

8. what is the difference between the answers in Exercises 6 and 7?

9. In 5 , 2 8, the difference between the values of the digits in the and the is 8,930. What is the digit in the ?

Chapter1 Workingwith Whole Numbers

Put On Your Thinking Cap!

Challenging Practice

5 5

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© M arshal l Ca vendish In terna tional (Singapor e) Priv at e Limit ed.

The button and the button do not work. Justin wants to enter the number 82,365.

Explain what he can do to key in the number. Give two solutions.

Put On Your Thinking Cap!

Use addition or subtraction to enter numbers of the right value.

2 6

References

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