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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1. Solving Simple Equations

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Exercise 63 Page 10

When you multiply conversion factors, make sure the only remaining units are the units you want.

0.02

Practice makes perfect

Let's start by copying the given statement. 68mi/h≈mi/sec

In this exercise, we need to change miles per hour into miles per second. Since this will involve multiple conversion factors, let's organize them in a table.

Starting Unit	Converted Unit
1 hour	60minutes
1minute	60 seconds

To perform this conversion, we need to multiply the given value by all of these conversion factors. Remember, we need to arrange these ratios such that every unit we do not want gets canceled out and only the units that we want will remain.

68 mi/h*1 h/60 min*1 min/60 sec

Multiply fractions

68 mi* 1 h*1 min/h* 60 min*60 sec

Cross out common factors

\dfrac{68 \text{ mi}\cdot 1 \, \cancel{\text{h}} \cdot1 \, \cancel{\text{min}}} {\cancel{\text{h}}\cdot60 \, \cancel{\text{min}}\cdot 60 \text{ sec}}

Simplify quotient

68mi/60*60 sec

Multiply

68 mi/3600sec

Use a calculator

0.018888...mi/sec

Round to 2 decimal place(s)

0.02mi/sec

Therefore, the value missing from the given statement is 0.02.

Subchapter links

Communicate Your Answer p.3

Monitoring Progress p.4-7

Exercises p.8-10