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Core Connections: Course 1
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Core Connections: Course 1 View details
2. Section 9.2
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Exercise 38 Page 446

Practice makes perfect
Converting between inches (in) and feet (ft) will involve using a conversion factor. 1ft/12in. Multiplying 24in. by this conversion factor will convert it to feet.

24in*1ft/12in
MoveLeftFacToNumOne

a* 1/b= a/b

24in*1ft/12in
CrossCommonFac

Cross out common factors

24in*1ft/12in
SimpQuot

Simplify quotient

24* 1ft/12
IdPropMult

Identity Property of Multiplication

24ft/12
CalcQuot

Calculate quotient

2ft
Let's take a look at the conversion factor between feet and inches. 1ft/12in. Let's multiply 18 inches by this conversion factor.

18in*1ft/12in
MoveLeftFacToNumOne

a* 1/b= a/b

18in*1ft/12in
CrossCommonFac

Cross out common factors

18in*1ft/12in
SimpQuot

Simplify quotient

18* 1ft/12
IdPropMult

Identity Property of Multiplication

18ft/12
CalcQuot

Calculate quotient

1.5ft
We will use the following conversion factor to convert the given length to feet. 1ft/12in. Let's multiply 9 inches by this conversion factor.

9in*1ft/12in
MoveLeftFacToNumOne

a* 1/b= a/b

9in*1ft/12in
CrossCommonFac

Cross out common factors

9in*1ft/12in
SimpQuot

Simplify quotient

9* 1ft/12
IdPropMult

Identity Property of Multiplication

9ft/12
CalcQuot

Calculate quotient

0.75ft
Converting between inches (in) and yards (yd) will involve using a conversion factor. 3ft/1yd. Let's multiply 2 yards by this conversion factor.

2yd*3ft/1yd
MoveLeftFacToNumOne

a* 1/b= a/b

2yd*3ft/1yd
CrossCommonFac

Cross out common factors

2yd*3ft/1yd
SimpQuot

Simplify quotient

2* 3yd/1
Multiply

Multiply

6yd/1
DivByOne

a/1=a

6yd
To express the given length in feet, we will use the following conversion factor. 1ft/12in. Let's multiply 3 inches by this conversion factor.

3in*1ft/12in
MoveLeftFacToNumOne

a* 1/b= a/b

3in*1ft/12in
CrossCommonFac

Cross out common factors

3in*1ft/12in
SimpQuot

Simplify quotient

3* 1ft/12
IdPropMult

Identity Property of Multiplication

3ft/12
CalcQuot

Calculate quotient

0.25ft
To express 2 12 in feet, we will use the following conversion factor. 3ft/1yd. Let's multiply 2 12 yards by this conversion factor.

2 12yd*3ft/1yd
MoveLeftFacToNumOne

a* 1/b= a/b

2 12yd*3ft/1yd
CrossCommonFac

Cross out common factors

2 12yd*3ft/1yd
SimpQuot

Simplify quotient

2 12* 3yd/1
DivByOne

a/1=a

2 12* 3yd
WriteDec

Write as a decimal

2.5* 3yd
Multiply

Multiply

7.5yd
Subchapter links expand_more
arrow_right 9.2.1 Multiplicative Growth and Percents p.445-446
35
36
37
38
39
arrow_right 9.2.2 Composition and Decomposition of Percents p.449-450
44
45
46
Composition and Decomposition of Percents 47 (Page 450)
48
arrow_right 9.2.3 Percent Discounts p.454-456
60
Percent Discounts 61 (Page 455)
62
Percent Discounts 63 (Page 455)
64
Percent Discounts 65 (Page 455)
66
Percent Discounts 67 (Page 456)
68
69
arrow_right 9.2.4 Simple Interest and Tips p.459-460
75
76
77
78
Simple Interest and Tips 79 (Page 460)