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Contents
d
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . 25
yg
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 35
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . 55
en
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 107
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 127
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Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 153
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 167
s2
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 189
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 209
47
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, Chapter 1
Whole Numbers
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46. 2,793,000,000
Exercise Set 1.1 48. All digits are 9’s. Answers may vary. For an 8-digit read-
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out, for example, it would be 99,999,999. This number has
RC2. In 615,702, the number 615 is in the thousands period. three periods.
RC4. The number 721 is written in standard notation.
yg
Exercise Set 1.2
2. 5 ten thousands
4. 5 hundred thousands RC2. In the addition 5 + 2 = 7, the number 7 is the sum.
6. 8 RC4. The distance around an object is its perimeter.
en
8. 1 2. 1521
+ 348
10. 1 thousand + 7 hundreds + 7 tens + 6 ones
1869
12. 1 thousand + 0 hundreds + 8 tens + 1 one, or 1 thousand + 1
8 tens + 1 one 4. 73
+69
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14. 3 thousands + 0 hundreds + 9 tens + 7 ones, or 3 thou- 1 42
sands + 9 tens + 7 ones
1
16. 3 ten thousands + 8 thousands + 4 hundreds + 5 tens + 6. 7 503
3 ones + 2 683
s2
1 0, 1 8 6
18. 1 billion + 2 hundred millions + 0 ten millions + 5 millions 1 1
+ 0 hundred thousands + 7 ten thousands + 3 thousands 8. 999
+ 6 hundreds + 1 ten + 2 ones, or 1 billion + 2 hundred + 11
millions + 5 millions + 7 ten thousands + 3 thousands + 1 010
6 hundreds + 1 ten + 2 ones
47
1
20. 3 hundred millions + 1 ten million + 3 millions + 8 hun- 10. 271
dred thousands + 4 ten thousands + 7 thousands + 4 +3338
hundreds + 6 tens + 5 ones 3609
1
22. Forty-eight 12. 280
??
+ 3 4, 9 0 2
24. Forty-five thousand, nine hundred eighty-seven 3 5, 1 8 2
26. One hundred eleven thousand, thirteen 1 1 1
14. 1 0, 1 2 0
28. Forty-three billion, five hundred fifty million, six hundred 1 2, 9 8 9
fifty-one thousand, eight hundred eight + 5 7 3 8
??
2 8, 8 4 7
30. Ninety-one thousand, two hundred forty-five
1
32. Eighty-nine million, three hundred thirty-one thousand, 16. 3654
six hundred twenty-two +2700
6354
??
34. 354,702
1 1 1
36. 17,112 18. 4 5, 8 7 9
+ 2 1, 7 8 6
38. 19,610,439 6 7, 6 6 5
1 1 1 1
40. 700,000,000
?
20. 9 9, 9 9 9
42. 26,000,000,000 + 112
1 0 0, 1 1 1
?
44. 200,017
Copyright
c 2015 Pearson Education, Inc.
, 2 Chapter 1: Whole Numbers
2
22. 3 8
2 7 Exercise Set 1.3
3 2
1 4
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+7 6 RC2. subtraction symbol
1 8 7 RC4. difference
1 1 1 1 87
2.
24. 4 2, 4 8 7 −34
8 3, 1 4 1
d
53
+3 6, 7 1 2
1 6 2, 3 4 0 4. 526
−323
yg
2 2 203
26. 9 8 9
5 6 6
8 3 4 6 13
9 2 0 6. 7 3
/ /
+7 0 3 −2 8
en
4 0 1 2 4 5
28. Perimeter = 14 mi + 13 mi + 8 mi + 10 mi + 47 mi +
22 mi 5 14
8. 6 4
/ /
We carry out the addition. −1 9
2 4 5
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14
18
13 6 /
8 15
8 10. / /
7 9 5/
10 −3 9 8
s2
47 3 9 7
+22
1 14 10
2 /
0 16
The perimeter of the figure is 114 mi. 12. / /
3 1 6/
−2 4 7
30. Perimeter = 62 yd + 39 yd + 54 yd + 46 yd + 28 yd
47
6 9
We carry out the addition.
17
2 7 /
7 17
6 2 14. / /
8 8 7/
3 9 −6 9 8
5 4 1 8 9
??
4 6
+2 8 3 12
2 2 9 16. 3/
4 2/
The perimeter of the figure is 229 yd. −21 7
12 5
32. 90 ft + 90 ft + 90 ft + 90 ft = Perimeter
??
13 12
We carry out the addition. 5 /
11
9 0 18. / /
6 4 3/ 1
/
9 0 −2 8 9 6
9 0 3 5 3 5
+9 0
??
12 15
3 6 0 7 /
14
20. / /
8 3 6/ 4
/
The batter travels 360 ft when a home run is hit.
−5 3 7 5
34. Nine billion, three hundred forty-six million, three hundred 2 9 8 9
ninety-nine thousand, four hundred sixty-eight
11 13
?
8 /
11
22. / /
9 2 4/ 1
/
−5 6 4 3
?
3 5 9 8
Copyright
c 2015 Pearson Education, Inc.
, Exercise Set 1.4 3
6 15
7/ /5 8 3
3✭0, ✭
✭/
2 9 9 9 14
24. −3 6 41 48. ✭ 0 0 4
3 9 42 − 6 7 4 9
2 3, 2 5 5
11 11
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5 1 /
/ 1 12 50. 9 01
26. 1 /6, /2 2/ /2 +23
− 5, 8 8 8 9 24
1 0, 3 3 4
1
11 52. 9 909
d
2 /
1 11 8 14
28. 3/ /2, 1/ /9 4
/ + 1 011
− 2 9, 2 3 6 1 0, 9 2 0
2 9 5 8 54. 9 thousands + 1 hundred + 0 tens + 3 ones, or 9 thousands
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+ 1 hundred + 3 ones
8 10
30. /9 0/ 56. 3, 928, 124 − 1, 098, 947
−7 8 Using a calculator to carry out the subtraction, we find
1 2 that the difference is 2,829,177.
en
7 9 13 Exercise Set 1.4
32. 8✥
✥ 0 3
−4 1 8
RC2. In the multiplication 4 × 3 = 12, 12 is the product.
3 8 5
RC4. The product of 1 and any number a is a.
iu
3 9 15
34. 9✥4✥0 /5
2
− 2 5 8 87
2.
9 1 4 7 × 4
3 48
s2
14
6 /
4 9 10
5✥
5
36. /7 ✥ 0 /0 4. 76
−3 6 0 4 × 9
3 8 9 6 6 84
4
47
6 9 13 6. 806
38. 7✥
8 4, ✥ 0 3
/ × 7
− 2 9 8 5 642
8 4, 4 0 5 3 2 2
8. 7 867
14
× 4
??
/4 10 0 17
40. 1/ /5, 0/ /1 7/ 3 1, 4 6 8
− 7 8 0 9
4
7 2 0 8
10. 78
7 9 9 13
× 60
✥
42. 8✥
✥ 4 680
??
0 0 /3
− 5 9 9
2
7 4 0 4 2
12. 8 7
6 9 9 10
✥ ×
7, ✥
3 4
44. 1✥ 0 0 /0
−1 1, 5 9 8 3 4 8
??
5 4 0 2 2 6 1 0
2 9 5 8
4✭
3
0, ✭
✭
9 9 9 16
14. 2 340
46. ✭ 0 0 /6
× 1 000
− 1 4 7
2, 3 4 0, 0 0 0
?
3 9, 8 5 9
16. 8 00
× 7 00
?
5 6 0, 0 0 0
Copyright
c 2015 Pearson Education, Inc.
Contents
d
Chapter 1 . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
Chapter 2 . . . . . . . . . . . . . . . . . . . . . . . . . . 25
yg
Chapter 3 . . . . . . . . . . . . . . . . . . . . . . . . . 35
Chapter 4 . . . . . . . . . . . . . . . . . . . . . . . . . 55
en
Chapter 5 . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Chapter 6 . . . . . . . . . . . . . . . . . . . . . . . . . 107
Chapter 7 . . . . . . . . . . . . . . . . . . . . . . . . . 127
iu
Chapter 8 . . . . . . . . . . . . . . . . . . . . . . . . . 153
Chapter 9 . . . . . . . . . . . . . . . . . . . . . . . . . 167
s2
Chapter 10 . . . . . . . . . . . . . . . . . . . . . . . . . 189
Chapter 11 . . . . . . . . . . . . . . . . . . . . . . . . . 209
47
??
??
??
? ?
, Chapter 1
Whole Numbers
tu
46. 2,793,000,000
Exercise Set 1.1 48. All digits are 9’s. Answers may vary. For an 8-digit read-
d
out, for example, it would be 99,999,999. This number has
RC2. In 615,702, the number 615 is in the thousands period. three periods.
RC4. The number 721 is written in standard notation.
yg
Exercise Set 1.2
2. 5 ten thousands
4. 5 hundred thousands RC2. In the addition 5 + 2 = 7, the number 7 is the sum.
6. 8 RC4. The distance around an object is its perimeter.
en
8. 1 2. 1521
+ 348
10. 1 thousand + 7 hundreds + 7 tens + 6 ones
1869
12. 1 thousand + 0 hundreds + 8 tens + 1 one, or 1 thousand + 1
8 tens + 1 one 4. 73
+69
iu
14. 3 thousands + 0 hundreds + 9 tens + 7 ones, or 3 thou- 1 42
sands + 9 tens + 7 ones
1
16. 3 ten thousands + 8 thousands + 4 hundreds + 5 tens + 6. 7 503
3 ones + 2 683
s2
1 0, 1 8 6
18. 1 billion + 2 hundred millions + 0 ten millions + 5 millions 1 1
+ 0 hundred thousands + 7 ten thousands + 3 thousands 8. 999
+ 6 hundreds + 1 ten + 2 ones, or 1 billion + 2 hundred + 11
millions + 5 millions + 7 ten thousands + 3 thousands + 1 010
6 hundreds + 1 ten + 2 ones
47
1
20. 3 hundred millions + 1 ten million + 3 millions + 8 hun- 10. 271
dred thousands + 4 ten thousands + 7 thousands + 4 +3338
hundreds + 6 tens + 5 ones 3609
1
22. Forty-eight 12. 280
??
+ 3 4, 9 0 2
24. Forty-five thousand, nine hundred eighty-seven 3 5, 1 8 2
26. One hundred eleven thousand, thirteen 1 1 1
14. 1 0, 1 2 0
28. Forty-three billion, five hundred fifty million, six hundred 1 2, 9 8 9
fifty-one thousand, eight hundred eight + 5 7 3 8
??
2 8, 8 4 7
30. Ninety-one thousand, two hundred forty-five
1
32. Eighty-nine million, three hundred thirty-one thousand, 16. 3654
six hundred twenty-two +2700
6354
??
34. 354,702
1 1 1
36. 17,112 18. 4 5, 8 7 9
+ 2 1, 7 8 6
38. 19,610,439 6 7, 6 6 5
1 1 1 1
40. 700,000,000
?
20. 9 9, 9 9 9
42. 26,000,000,000 + 112
1 0 0, 1 1 1
?
44. 200,017
Copyright
c 2015 Pearson Education, Inc.
, 2 Chapter 1: Whole Numbers
2
22. 3 8
2 7 Exercise Set 1.3
3 2
1 4
tu
+7 6 RC2. subtraction symbol
1 8 7 RC4. difference
1 1 1 1 87
2.
24. 4 2, 4 8 7 −34
8 3, 1 4 1
d
53
+3 6, 7 1 2
1 6 2, 3 4 0 4. 526
−323
yg
2 2 203
26. 9 8 9
5 6 6
8 3 4 6 13
9 2 0 6. 7 3
/ /
+7 0 3 −2 8
en
4 0 1 2 4 5
28. Perimeter = 14 mi + 13 mi + 8 mi + 10 mi + 47 mi +
22 mi 5 14
8. 6 4
/ /
We carry out the addition. −1 9
2 4 5
iu
14
18
13 6 /
8 15
8 10. / /
7 9 5/
10 −3 9 8
s2
47 3 9 7
+22
1 14 10
2 /
0 16
The perimeter of the figure is 114 mi. 12. / /
3 1 6/
−2 4 7
30. Perimeter = 62 yd + 39 yd + 54 yd + 46 yd + 28 yd
47
6 9
We carry out the addition.
17
2 7 /
7 17
6 2 14. / /
8 8 7/
3 9 −6 9 8
5 4 1 8 9
??
4 6
+2 8 3 12
2 2 9 16. 3/
4 2/
The perimeter of the figure is 229 yd. −21 7
12 5
32. 90 ft + 90 ft + 90 ft + 90 ft = Perimeter
??
13 12
We carry out the addition. 5 /
11
9 0 18. / /
6 4 3/ 1
/
9 0 −2 8 9 6
9 0 3 5 3 5
+9 0
??
12 15
3 6 0 7 /
14
20. / /
8 3 6/ 4
/
The batter travels 360 ft when a home run is hit.
−5 3 7 5
34. Nine billion, three hundred forty-six million, three hundred 2 9 8 9
ninety-nine thousand, four hundred sixty-eight
11 13
?
8 /
11
22. / /
9 2 4/ 1
/
−5 6 4 3
?
3 5 9 8
Copyright
c 2015 Pearson Education, Inc.
, Exercise Set 1.4 3
6 15
7/ /5 8 3
3✭0, ✭
✭/
2 9 9 9 14
24. −3 6 41 48. ✭ 0 0 4
3 9 42 − 6 7 4 9
2 3, 2 5 5
11 11
tu
5 1 /
/ 1 12 50. 9 01
26. 1 /6, /2 2/ /2 +23
− 5, 8 8 8 9 24
1 0, 3 3 4
1
11 52. 9 909
d
2 /
1 11 8 14
28. 3/ /2, 1/ /9 4
/ + 1 011
− 2 9, 2 3 6 1 0, 9 2 0
2 9 5 8 54. 9 thousands + 1 hundred + 0 tens + 3 ones, or 9 thousands
yg
+ 1 hundred + 3 ones
8 10
30. /9 0/ 56. 3, 928, 124 − 1, 098, 947
−7 8 Using a calculator to carry out the subtraction, we find
1 2 that the difference is 2,829,177.
en
7 9 13 Exercise Set 1.4
32. 8✥
✥ 0 3
−4 1 8
RC2. In the multiplication 4 × 3 = 12, 12 is the product.
3 8 5
RC4. The product of 1 and any number a is a.
iu
3 9 15
34. 9✥4✥0 /5
2
− 2 5 8 87
2.
9 1 4 7 × 4
3 48
s2
14
6 /
4 9 10
5✥
5
36. /7 ✥ 0 /0 4. 76
−3 6 0 4 × 9
3 8 9 6 6 84
4
47
6 9 13 6. 806
38. 7✥
8 4, ✥ 0 3
/ × 7
− 2 9 8 5 642
8 4, 4 0 5 3 2 2
8. 7 867
14
× 4
??
/4 10 0 17
40. 1/ /5, 0/ /1 7/ 3 1, 4 6 8
− 7 8 0 9
4
7 2 0 8
10. 78
7 9 9 13
× 60
✥
42. 8✥
✥ 4 680
??
0 0 /3
− 5 9 9
2
7 4 0 4 2
12. 8 7
6 9 9 10
✥ ×
7, ✥
3 4
44. 1✥ 0 0 /0
−1 1, 5 9 8 3 4 8
??
5 4 0 2 2 6 1 0
2 9 5 8
4✭
3
0, ✭
✭
9 9 9 16
14. 2 340
46. ✭ 0 0 /6
× 1 000
− 1 4 7
2, 3 4 0, 0 0 0
?
3 9, 8 5 9
16. 8 00
× 7 00
?
5 6 0, 0 0 0
Copyright
c 2015 Pearson Education, Inc.