C H A PTE Whole Number Multiplication R and Division · 2013. 5. 23. · 30 Name: Date: © 2009...
52
27 Reteach 5A Name: Date: © 2009 Marshall Cavendish International (Singapore) Private Limited. Copying is permitted; see page ii. Whole Number Multiplication and Division C H A P T E R 2 Worksheet 1 Using a Calculator Use your calculator for these exercises. 1. Circle the button you press to turn on your calculator. Turn On On/Off Enter 2. Enter these digits on your calculator. 1 2 3 4 5 6 7 8 Write the number displayed on your calculator. 3. Circle the button you press to clear the display on your calculator. Clear CE C 4. Enter each number on your calculator. a. 4,782 b. 678,435 c. 3,917,403 d. 7,008,009 How do the numbers displayed on the calculator differ from the printed numbers?
Transcript of C H A PTE Whole Number Multiplication R and Division · 2013. 5. 23. · 30 Name: Date: © 2009...
27Reteach 5A
Name: Date: ©
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Whole Number Multiplication and Division
CHAPTER
2Worksheet 1 Using a CalculatorUse your calculator for these exercises.
1. Circle the button you press to turn on your calculator.
Turn
On
On/Off
Enter
2. Enter these digits on your calculator.
1 2 3 4 5 6 7 8
Write the number displayed on your calculator.
3. Circle the button you press to clear the display on your calculator.
Clear
CE
C
4. Enter each number on your calculator.
a. 4,782 b. 678,435
c. 3,917,403 d. 7,008,009
How do the numbers displayed on the calculator differ from the printed numbers?
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Chapter 2 Lesson 2.1
5. Which sequence of buttons should you press to fi nd the value of 259 � 4,783? Check (✔) the box next to the correct answer. Then use your calculator to fi nd the sum.
Press this sequence of buttons:
2 4�5 79 8 3
2 4�5 89 7 3 �
C 2 4�5 79 8 3 �
259 � 4,783 �
Use your calculator to add or subtract.
6. 5,728 � 6,954 �
7. 9,824 � 2,387 �
8. $8,389 � $7,402 � $
9. 6,083 kg � 4,709 kg � kg
Check the box next to the correct answer.
10. How do you fi nd the difference between 4,269 and 1,597?
4,269 � 1,597
4,269 � 1,597
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Check the box next to the correct answer.
11. How do you fi nd the sum of 6,677 and 23,567?
6,677 � 23,567
23,567 � 6,677
Use your calculator to answer these questions.
12. What is the sum of 7,625 � 12,496?
13. What is the difference between 5,697 and 4,283?
Fill in the missing buttons. Then press the sequence of buttons to fi nd the product or quotient.
43,878 142 � 309 �
C 1 3�4 02 9 �
Example
14. 325 � 67 �
C 6 7
15. 1,652 � 4 �
4C
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Chapter 2 Lesson 2.1
Use your calculator to multiply.
16. 2,873 � 42 �
17. 1,473 � 9 �
18. 428 � 375 �
Use your calculator to divide.
19. 8,710 � 5 �
20. 8,150 � 25 �
21. 220,128 � 32 �
Use your calculator to answer these questions.
22. What is the product of 748 and 254?
23. What is the quotient of 7,470 divided by 6?
Use your calculator to solve these problems.
24. Grandpa donates a total of $78,645 equally to 5 charities.How much money does each charity receive?
25. The area of the fl oor in a rectangular kitchen is 209,196 square centimeters. The area of each square tile is 36 square centimeters. How many square tiles are needed to tile the kitchen fl oor?
MS_Reteach 5A_Ch02_027-078.indd 30 2/18/10 12:32:39 PM
31Reteach 5A
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Worksheet 2 Multiplying by Tens, Hundreds, or Thousands
Complete.
1. 10 � ten 2. 80 � tens
Multiply.
909 � 10 �
Example
3. 5 � 10 � 4. 83 � 10 �
5. 726 � 10 � 6. 1,005 � 10 �
Complete.
25 � 50 � 25 � tens
� ( � ) � 10
� � 10
�
5
525
125
1,250
Example
7. 17 � 30 � 17 � tens
� ( � ) � 10
� � 10
�
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Chapter 2 Lesson 2.2
Complete.
8. 148 � 60 � 148 � tens
� ( � ) � 10
� � 10
�
9. 219 � 20 � 219 � tens
� ( � ) � 10
� � 10
�
10. 3,456 � 70 � 3,456 � tens
� ( � ) � 10
� � 10
�
11. 2,135 � 60 � 2,135 � tens
� ( � ) � 10
� � 10
�
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33Reteach 5A
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Complete.
12. 100 � hundred 13. 500 � hundreds
Multiply.
7007 � 100 �
Example
14. 8 � 100 � 15. 74 � 100 �
16. 153 � 100 � 17. 5,980 � 100 �
Complete.
2
16 � 200 � 16 � hundreds
� ( � ) � 100
� � 100
�
2
16
32
3,200
ExampleExample
18. 72 � 300 � 72 � hundreds
� ( � ) � 100
� � 100
�
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Chapter 2 Lesson 2.2
Complete.
19. 326 � 700 � 326 � hundreds
� ( � ) � 100
� � 100
�
20. 548 � 900 � 548 � hundreds
� ( � ) � 100
� � 100
�
21. 1,325 � 800 � 1,325 � hundreds
� ( � ) � 100
� � 100
�
22. 3,046 � 600 � 3,046 � hundreds
� ( � ) � 100
� � 100
�
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35Reteach 5A
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Complete.
23. 1,000 � thousand
24. 6,000 � thousands
Multiply.
5,0005 � 1,000 �
Example
25. 4 � 1,000 � 26. 28 � 1,000 �
27. 205 � 1,000 � 28. 3,247 � 1,000 �
Complete.
Example
25 � 3,000 � 25 � thousands
� ( � ) � 1,000
� � 1,000
�
3
75
75,000
25 3
29. 69 � 4,000 � 69 � thousands
� ( � ) � 1,000
� � 1,000
�
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Chapter 2 Lesson 2.2
Complete.
30. 217 � 6,000 � 217 � thousands
� ( � ) � 1,000
� � 1,000
�
31. 528 � 9,000 � 528 � thousands
� ( � ) � 1,000
� � 1,000
�
32. 1,324 � 7,000 � 1,324 � thousands
� ( � ) � 1,000
� � 1,000
�
33. 2,305 � 4,000 � 2,305 � thousands
� ( � ) � 1,000
� � 1,000
�
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37Reteach 5A
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Round to the nearest ten.
34. 56 � 35. 23 �
Round to the nearest hundred.
36. 348 � 37. 750 �
Round the 2-digit number to the nearest ten and the 3-digit number to the nearest hundred. Then multiply to estimate the product.
672 � 81 is about
� � 700 80 56,000
Example
Round 672 to the nearest hundred and 81 to the nearest ten. 672 rounds to 700. 81 rounds to 80.
38. 87 � 63 is about � � .
39. 94 � 247 is about � � .
40. 249 � 63 is about � � .
41. 364 � 73 is about � � .
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Chapter 2 Lesson 2.2
Round to the nearest thousand.
42. 2,705 � 43. 8,391 �
Round the 2-digit number to the nearest ten and the 4-digit number to the nearest thousand. Then multiply to estimate the product.
1,289 � 48 is about
� � 1,000 50 50,000
Example
Round 1,289 to the nearest thousand and 48 to the nearest ten. 1,289 rounds to 1,000. 48 rounds to 50.
44. 5,612 � 32 is about � � .
45. 3,409 � 45 is about � � .
46. 92 � 1,485 is about � � .
47. 79 � 4,243 is about � � .
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Worksheet 3 Multiplying by 2-Digit NumbersComplete.
1. 38 � 20 � � tens
2. 26 � 40 � � tens
3. 57 � 60 � � tens
4. 48 � 90 � � tens
Complete.
5. 25 � 30 � � tens
� tens
� � 10
�
6. 46 � 50 � � tens
� tens
� � 10
�
7. 38 � 40 � � tens
� tens
� � 10
�
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Chapter 2 Lesson 2.3
Multiply by tens.
Do this fi rst:
2 3� 4 9 2
23 � 40 �
2 3� 4 0 9 2 0
920Example
8. 46 � 30 � Do this fi rst:
4 6� 3
4 6� 3 0
9. 58 � 60 � Do this fi rst:
5 8� 6
5 8� 6 0
MS_Reteach 5A_Ch02_027-078.indd 40 11/12/09 11:29:08 AM
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Multiply. Estimate to check your answer.
Example
Estimate:23 rounds to 20.29 rounds to 30.20 � 30 � 600
66723 � 29 �
2 3� 2 9 2 0 7 23 � 9 4 6 0 23 � 20 6 6 7 add
Example
The estimate shows the answer 667 is reasonable.
10. 48 � 62 � Estimate:48 rounds to .
62 rounds to .
� �
4 8 � 6 2
48 � 2
48 � 60
add
The estimate shows the
answer
is reasonable.
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Chapter 2 Lesson 2.3
Multiply. Estimate to check your answer.
11. 92 � 27 �
9 2 � 2 7
Estimate:92 � 27 is about �
� .
The estimate shows the answer is reasonable.
12. 52 � 81 �
5 2 � 8 1
Estimate:52 � 81 is about �
� .
The estimate shows the answer is reasonable.
13. 48 � 27 � 14. 63 � 59 �
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43Reteach 5A
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Multiply. Estimate to check your answer.
Estimate:138 rounds to 100.32 rounds to 30.100 � 30 � 3,000
4,416138 � 32 �
1 3 8� 3 2 2 7 6 138 � 24, 1 4 0 138 � 304, 4 1 6 add
Example
The estimate shows the answer 4,416 is reasonable.
15. 127 � 53 � Estimate:127 rounds to .
53 rounds to .
� �
1 2 7 � 5 3
127 � 3
127 � 50
add
The estimate shows the
answer
is reasonable.
MS_Reteach 5A_Ch02_027-078.indd 43 2/28/09 11:23:00 AM
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Chapter 2 Lesson 2.3
Multiply. Estimate to check your answer.
16. 203 � 72 �
2 0 3 � 7 2
Estimate:203 � 72 is about �
� .
The estimate shows the answer is reasonable.
17. 458 � 34 �
4 5 8 � 3 4
Estimate:458 � 34 is about �
� .
The estimate shows the answer is reasonable.
18. 574 � 26 � 19. 728 � 36 �
MS_Reteach 5A_Ch02_027-078.indd 44 11/12/09 11:29:31 AM
45Reteach 5A
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Multiply. Estimate to check your answer.
Example
Estimate:1,492 rounds to 1,000.22 rounds to 20.1,000 � 20 � 20,000
32,8241,492 � 22 �
1, 4 9 2� 2 2 2, 9 8 4 1,492 � 22 9, 8 4 0 1,492 � 203 2, 8 2 4 add
The estimate shows the answer 32,824 is reasonable.
20. 1,825 � 48 � Estimate:1,825 rounds to .
48 rounds to .
� �
1, 8 2 5 � 4 8
1,825 � 8
1,825 � 40
add
The estimate shows the
answer
is reasonable.
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Chapter 2 Lesson 2.3
Multiply. Estimate to check your answer.
21. 2,175 � 62 �
2, 1 7 5 � 6 2
Estimate:2,175 � 62 is about �
� .
The estimate shows the answer is reasonable.
22. 4,120 � 77 �
4, 1 2 0 � 7 7
Estimate:4,120 � 77 is about �
� .
The estimate shows the answer is reasonable.
23. 1,608 � 43 � 24. 4,637 � 59 �
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47Reteach 5A
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Worksheet 4 Dividing by Tens, Hundreds, or Thousands
Divide.
880 � 10 �
Example
Think of multiplication.8 � 10 � 80So, 80 � 10 � 8.
1. 120 � 10 �
Think of multiplication.
� 10 �
So, � 10 � .
2. 720 � 10 � 3. 970 � 10 �
4. 2,860 � 10 � 5. 3,790 � 10 �
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Chapter 2 Lesson 2.4
Complete.
850 � 50 � ( � 10) � 5
� � 5
�
850
17
85
Example
6. 680 � 40 � ( � 10) �
� �
�
7. 1,920 � 60 � ( � 10) �
� �
�
8. 2,880 � 80 � ( � 10) �
� �
�
Divide.
9. 420 � 70 � 10. 560 � 80 �
11. 630 � 90 � 12. 2,160 � 90 �
13. 2,100 � 50 � 14. 1,120 � 40 �
MS_Reteach 5A_Ch02_027-078.indd 48 11/12/09 11:30:19 AM
49Reteach 5A
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Complete.
1,800 � 200 � ( � 100) � 2
� � 2
�
1,800
9
18
Example
15. 5,600 � 400 � ( � 100) �
� �
�
16. 8,400 � 700 � ( � 100) �
� �
�
17. 27,600 � 600 � ( � 100) �
� �
�
Divide.
18. 6,300 � 700 � 19. 6,400 � 800 �
20. 4,800 � 600 � 21. 8,100 � 900 �
22. 44,100 � 900 � 23. 37,500 � 500 �
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Chapter 2 Lesson 2.4
Complete.
21,000 � 3,000 � ( � 1,000) � 3
� � 3
�
21,000
7
21
Example
24. 52,000 � 4,000 � ( � 1,000) �
� �
�
25. 91,000 � 7,000 � ( � 1,000) �
� �
�
26. 144,000 � 6,000 � ( � 1,000) �
� �
�
Divide.
27. 84,000 � 7,000 �
28. 128,000 � 8,000 �
29. 138,000 � 6,000 �
MS_Reteach 5A_Ch02_027-078.indd 50 11/12/09 11:30:41 AM
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Estimate.
48 rounds to 50.200 is close to 195 and can be divided by 50.
50 2004
dividend
divisor quotient
Example195 � 48 is about
� � .200 50 4
30. 138 � 72
138 � 72 is about
� � .
72 rounds to .
is close to 138 and
can be divided by .
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Chapter 2 Lesson 2.4
Estimate.
31. 314 � 84
314 � 84 is about
� � .
84 rounds to .
is close to 314 and
can be divided by .
32. 1,080 � 58
33. 4,752 � 24
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Worksheet 5 Dividing by 2-Digit NumbersDivide.
Example
120 � 20 �
620 1 2 0 1 2 0 0
6
120 can be divided exactly by 20. So I can also use this method:120 � 20 � 6
1. 850 � 50 �
2. 3,150 � 90 �
3. 1,200 � 80 �
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Chapter 2 Lesson 2.5
Divide.
240 � 30 � 83 � 8 � 2430 � 8 � 240The answer is 8.
Example
4. 280 � 40 �
4 � � 28
40 � � 280
The answer is .
5. 6,300 � 70 �
6. 4,500 � 90 �
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Divide.
remainder
200 � 30 � R
30 2 0 0 1 8 0 2 0
6
6 20Example
200 cannot be divided exactly by 30. So I cannot cancel the zeros to fi nd the answer.I have to use long division.
7. 290 � 30 � R
30 2 9 0
8 . 570 � 70 � R
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Chapter 2 Lesson 2.5
Divide.
77 � 22 � R
22 7 7 6 6 1 1
3
3 11Example
Estimate the quotient:22 rounds to 20.
20 7 7 3
22 7 7 6 6 1 1
3
11 is less than 22.
The estimated quotient is just right.
59 � 18 � R
18 5 9 5 4 5
3
3 5Example
Estimate the quotient:18 rounds to 20.
20 5 9 2
18 5 9 3 6 2 3
2
23 is greater than 18.
The estimated quotient is too small.Try 3.
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Divide.
45 � 12 � R
12 4 5 3 6 9
3
3 9Example
Estimate the quotient:12 rounds to 10.
10 4 5 4
12 4 5 4 8
4
48 is greater than 45.
The estimated quotient is too big.Try 3.
9. 81 � 35 � R 35 8 1
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Divide.
10. 79 � 26 � R 26 7 9
11. 92 � 24 � R
12. 67 � 17 � R
Chapter 2 Lesson 2.5
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Divide.
175 � 20 � R 8 15Example
Notice that when we divide a 3-digit number by a 2-digit number, if the fi rst two digits of the dividend are less than the divisor, the quotient will be a 1-digit number.
20 1758
dividend
divisor quotient
13. 279 � 40 � R 40 2 7 9
14. 351 � 72 � R
15. 412 � 58 � R
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Divide.
254 � 20 � R
20 2 5 4 2 0 5 4 4 0 1 4
1 2
12 14Example
When we divide a 3-digit number by a 2-digit number, if the fi rst two digits of the dividend are greater than the divisor, the quotient will be a 2-digit number.For 254 � 20, 25 is greater than 20. So, the quotient will be a 2-digit number.
16. 417 � 30 � R 30 4 1 7
17. 915 � 42 � R
18. 758 � 36 � R
Chapter 2 Lesson 2.5
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Divide.
19. 1,259 � 50 � R 50 1, 2 5 9
20. 1,386 � 70 � R 70 1, 3 8 6
21. 2,485 � 42 � R
22. 3,152 � 54 � R
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Divide.
23. 1,843 � 15 � R 15 1, 8 4 3
24. 2,063 � 18 � R 18 2, 0 6 3
25. 3,248 � 21 � R
26. 3,819 � 27 � R
Chapter 2 Lesson 2.5
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Worksheet 6 Order of Operations Find the value of each numeric expression.
9 � 8 � 4
� �
�
17 4
13
A numeric expression contains only numbers and operation signs.
Work from left to right when there are only addition and subtraction.
Step 1 9 � 8 � 17Step 2 17 � 4 � 13
Example
1. 15 � 8 � 12 � �
�
2. 28 � 13 � 17
3. 21 � 19 � 16
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Find the value of each numeric expression.
15 � 8 � 12 � 7
� � �
� �
�
23 12 7
711
18
Example
4. 22 � 7 � 15 � 9 � � �
� �
�
5. 18 � 9 � 26 � 14
6. 64 � 27 � 13 � 28
Chapter 2 Lesson 2.6
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Find the value of each numeric expression.
8 � 6 � 2
� �
�
48 2
24
Example
Work from left to right when there are only multiplication and division.
Step 1 8 � 6 � 48Step 2 48 � 2 � 24
7. 12 � 9 � 6 � �
�
8. 25 � 5 � 15
9. 252 � 6 � 18
10. 14 � 9 � 21
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Find the value of each numeric expression.
13 � 12 � 4
� �
�
13 48
61
Example
Work from left to right. Carry out multiplication and division before addition and subtraction.
Step 1 12 � 4 � 48Step 2 13 � 48 � 61
11. 210 � 120 � 10 12. 174 � 240 � 3
� � � �
� �
13. 72 � 6 � 18 14. 476 � 7 � 15
� � � �
� �
15. 124 � 8 � 59 16. 756 � 9 � 142
� � � �
� �
Chapter 2 Lesson 2.6
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Find the value of each numeric expression.
17. 24 � 36 � 3 18. 176 � 480 � 8
19. 212 � 368 � 4 20. 472 � 8 � 26
21. 108 � 9 � 137 22. 826 � 7 � 247
Find the value of each numeric expression.
23. 17 � 2 � 75 � 5 24. 28 � 3 � 72 � 9
25. 128 � 4 � 156 � 6 26. 4 � 79 � 225 � 5
27. 217 � 96 � 8 � 139 28. 414 � 176 � 8 � 3
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Find the value of each numeric expression.
9 � (12 � 23)
� �
�
Example
Step 1 12 � 23 � 35Step 2 9 � 35 � 315
9 35
315
Carry out the operation in the parentheses fi rst.
29. 164 � (135 � 78) 30. 36 � (150 � 126)
� � � �
� �
31. 408 � (219 � 39) 32. 6 � (124 � 77)
� � � �
� �
33. 476 � (3 � 4) 34. 8 � (273 � 169)
� � � �
� �
Chapter 2 Lesson 2.6
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Find the value of each numeric expression.
35. 8 � (24 � 15) 36. 100 � (5 � 5)
37. 43 � (37 � 8) 38. 324 � (102 � 96)
39. 253 � (162 � 59) 40. 552 � (5 � 3)
41. 517 � (309 � 107) 42. 9 � (500 � 256)
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Find the value of each numeric expression.
43. 24 � (35 � 77) � 8
� � �
� �
�
44. 12 � 7 � (145 � 5)
� �
�
45. 4 � (248 � 4) � 8
� � �
� �
�
46. 483 � (82 � 75) � 326
� � �
� �
�
Find the value of each numeric expression.
47. 99 � 43 � (28 � 7) 48. (59 � 23) � 4 � 8
Step 1 Carry out the operation in the parentheses.
Step 2 Divide. Step 3 Add.
Step 1 Carry out the operation in the parentheses.
Step 2 Multiply.Step 3 Subtract.
Chapter 2 Lesson 2.6
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Worksheet 7 Real-World Problems: Multiplication and Division
Fill in the circle next to the correct answer.
1. Samantha had 48 stamps. She gave 15 stamps to Cindy. Samantha then bought another 9 stamps. How many stamps did Samantha have in the end?
A 48 � 15 � 9 B 48 � 15 � 9
C 48 � 15 � 9 D 48 � 15 � 9
2. Mrs. Lee put 4 fl owers into each of her 5 vases. She had 12 fl owers left. How many fl owers did she have altogether?
A 4 � 5 � 12 B (4 � 12) � 5
C 4 � (5 � 12) D 4 � 5 � 12
3. There were 6 rows of tables in a room. In each row, there were 8 tables. Then Julie rearranged the tables so that there were only 4 rows. How many tables were there in each row in the end?
A 6 � (8 � 4) B 4 � 6 � 8
C 6 � 4 � 8 D 6 � 8 � 4
4. Mr. Nathan bought a piano for $6,194. He made an initial payment of $1,250. He made equal, monthly payments for the next 6 months. How much did Mr. Nathan pay each month?
A $6,194 � $1,250 � 6
B $6,194 � $1,250 � 6
C ($6,194 � $1,250) � 6
D ($6,194 � $1,250) � 6
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Solve.
5. When a number is divided by 57, the answer is 72. What is the number?
� 57 � 72
The number is .
6. When a number is multiplied by 46, the answer is 5,520. What is the number?
7. The product of two numbers is 7,098. One of the numbers is 78. Find the other number.
Chapter 2 Lesson 2.7
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Solve.
8. Tran can type 56 words in a minute. How many words can he type in 45 minutes?
9. A business owner paid a total of $7,392 in 48 months for her inventory. She paid the same amount of money each month. How much money did she pay each month?
10. Mrs. Gerber is preparing fruit skewers for a neighborhood block party. She has 275 pieces of fruits. She skewers 4 pieces of fruit on each stick. How many sticks does she need?
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Chapter 2 Lesson 2.7
Solve.
11. Jorgen bought 6 boxes of cranberries and 7 boxes of blueberries. Each box contained 125 berries. How many berries did he buy in all?
12. Anna owed a bank $12,750. She paid the bank $475 every month. How much money did Anna still owe the bank after 22 months?
13. The table shows the pay rates for the staff at a café. Harry works at the café for 8 hours on each weekday from Monday to Friday. He also works for 5 hours each Saturday and Sunday. How much money does Harry make in a week?
Weekdays $15 per hour
Weekends $25 per hour
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Worksheet 8 Real-World Problems: Multiplication and Division
Draw a model to represent the statements.
Emma has 75 paper clips. Daniel has 5 times as many paper clips as Emma.
75
Emma
Daniel
Example
1. Kathy’s salary is $720 per month. Her father’s salary is 3 times as much as Kathy’s salary.
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Chapter 2 Lesson 2.7
Solve. Draw models to help you.
2. Taylor has 83 stamps. Alyssa has 3 times as many stamps as Taylor.
a. Draw a model to show the number of stamps each child has.
b. How many stamps does Alyssa have?
c. How many stamps do they have altogether?
3. Container A has 4 times as much water as Container B. Container C has 3 times as much water as Container A. Container B has 87 gallons of water. How much water is in the three containers altogether?
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Solve. Draw models to help you.
4. Box A contains 53 cubes and has a total mass of 1,760 grams. Box B contains 18 cubes and has a total mass of 1,620 grams. The mass of Box A is the same as the mass of box B. Every cube has the same mass. Find the mass of each cube.
5. Jessica and Lillian had the same amount of money. Jessica gave $1,140 to a charity and Lillian gave $580 to a different charity. In the end, Lillian had 9 times as much money as Jessica. How much money did each girl have at fi rst?
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Chapter 2 Lesson 2.7
Solve. Draw models to help you.
6. A crate contains apples, pears, and oranges. There are 184 apples and pears, and 248 apples and oranges. There are 3 times as many oranges as pears. How many apples are in the crate?
7. Chris is 4 times as old as Peter. Sara is 6 years younger than Chris. The total age of Chris, Peter, and Sara is 66 years. How old is Sara?
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