Selected Answers and Solutions R1Selected Answers and Solutions
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Page 24 Chapter 1 Are You Ready?- 105.8 3. 11.3 5. 82.96 7. 2.37 9. $72.94
- 29.4 13. 5.3 15. 10.2 17. 4.46
Pages 26–28 Lesson 1-1A - 9 · 9 · 9
33 5 ·^5 ·^5 ·^5 ·^5 - 1,000 7. 117,649 people 9. 14
- 1 · 1 · 1 · 1 · 1 13. 7 · 7 · 7 · 7 · 7 · 7 · 7
- 9 · 9 · 9 · 9 17. 64 19. 121 21. 1
2323 10 6 =^10 ·^10 ·^10 ·^10 ·^10 ·^10
= 1,000,000 - 32 27. 18 29. 4 · 4 · 4 · 4 · 4 31. 1,296
3333 a. Each edge has 3 cubes, so there are 3 · 3, or
9 cubes in one layer. There are 3 layers, so there are
9 · 3, or 27 cubes. Written as one multiplication
problem this is 3 · 3 · 3, or 33.
b. Sample answer: A number taken to the third
power is the same as the volume of a cube, or the
amount of space inside a cube. - 2,147,483,648 37. 63 , 15^2 , 3^5 , 2^8. 39. Sample
answer: 4^5 = 1,024 41. 1,000; 1,000 cannot be
expressed as a square: 11^2 = 121, 19^2 = 361,
242 = 576. 43. Sample answer: Using exponents
is a more effi cient way to describe and compare
numbers. 45. F
Pages 30–32 Lesson 1-1B - 11; Sample answer: Subtract fi rst since 5 - 2 is in
parentheses. Then add 8. 3. 11; Sample answer:
Multiply 2 by 6 fi rst since multiplication comes
before addition or subtraction. Then subtract and
add in order from left to right. 5. 400; Sample
answer: Evaluate 10^2 fi rst since it is a power. Then
multiply by 4. 7. 11; Sample answer: Subtract fi rst
since 6 - 3 is in parentheses. Then multiply the
difference by 2 and multiply 3 by 4 since
multiplication comes before addition or
subtraction. Finally, add 17 and 6 and subtract 12 in
order from left to right.
99 3(0.05) + 2(0.25) + 2(0.10) + 7(0.01)
=0.15 + 0.50 + 0.20 + 0.07
= 0.92
He has $0.92. - 3; Sample answer: Add fi rst since 3 + 4 is in
parentheses. Then subtract.
1313 1; Sample answer: Subtract fi rst since 11 - 2 is
in parentheses. Then divide.
15. 8; Sample answer: Divide fi rst since division
comes before addition or subtraction. Then subtract
1 and add 7 in order from left to right.
17. 5; Sample answer: Multiply fi rst since
multiplication comes before addition or
subtraction. Then subtract the product from 118
and add 5. 19. 30,000; Sample answer: Evaluate
104 fi rst since it is a power. Then multiply by 3.
21. 386; Sample answer: Evaluate 7^2 fi rst since it is a
power. Then multiply by 8 since multiplication
comes before subtraction. Finally, subtract.
23. 75; Sample answer: Evaluate 9^2 since it is a
power. Then divide 14 by 7 and multiply the
quotient by 3 since multiplication and division
occur from left to right. Finally, subtract.
25. 22; Sample answer: Add fi rst since 6 + 5 is in
parentheses. Then subtract 6 from 8 since 8 - 6 is
in parentheses. Finally, multiply. 27. 23; Sample
answer: Add fi rst since 4 + 7 is in parentheses.
Then multiply the sum by 3. Next, multiply 5 by 4
and divide the product by 2 since multiplication
and division occur in order from left to right.
Finally, subtract. 29. 3(0.25) + 5(0.50); $3.25
31. 19; Sample answer: Evaluate 3^3 fi rst since it is a
power. Then add 8. Next subtract 6 from 10 since
10 - 6 is in parentheses. Then square the difference
since the power is 2. Finally subtract 16 from 35.
33. 64; Sample answer: Subtract fi rst since 4 - 3.2 is
in parentheses. Multiply 7 by 9 next since
multiplication occurs from left to right. Then
subtract 0.8 from the product, 63, and add 1.8 since
addition and subtraction occur from left to right.
3535 The total cost is equal to $0.15, the cost of one
text message over 250, times the number of text
messages over 250 plus $5, the cost of the plan.
$0.15(275 - 250) + $5
= $0.15(25) + $5 Subtract.
= $3.75 + $5 Multiply.
= $8.75 Add.
37. 2 × 8 + 2 4 ; Sample answer: The expression
when evaluated is equal to 32. The other three
expressions are equal to 0. 39. Sample answer:
There are 24 cookies to be divided among 12
people. If 4 people do not want cookies, how many
cookies will each person receive?; 12 - 4 = 8 and
24 ÷ 8 = 3; So, each person will get 3 cookies.
41. H 43. Find the value of 3^2. Then multiply by 5
and then add 7.; 52
Pages 36–37 Lesson 1-1C- 2 3. 22
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