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  1. Did you grow up using the U.S. or the metric system of measurement?
  2. Describe two examples in your life when you had to convert between the two systems of measurement.
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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

This is a table that has seven rows and four columns. In the first row, which is a header row, the cells read from left to right “I can…,” “Confidently,” “With some help,” and “No-I don’t get it!” The first column below “I can…” reads “define US units of measurement and convert from one unit to another,” “use US units of measurement,” “define metric units of measurement and convert from one unit to another,” “use metric units of measurement,” “convert between the US and the metric system of measurement,” and “convert between Fahrenheit and Celsius temperatures.” The rest of the cells are blank.

Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?

Chapter review exercises

Introduction to Whole Numbers

Use Place Value with Whole Number

In the following exercises find the place value of each digit.

26,915

1
2
9
5
6

tens ten thousands hundreds ones thousands

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359,417

9
3
4
7
1

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58,129,304

5
0
1
8
2

ten millions tens hundred thousands millions ten thousands

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9,430,286,157

6
4
9
0
5

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In the following exercises, name each number.

6,104

six thousand, one hundred four

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3,975,284

three million, nine hundred seventy-five thousand, two hundred eighty-four

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In the following exercises, write each number as a whole number using digits.

three hundred fifteen

315

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sixty-five thousand, nine hundred twelve

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ninety million, four hundred twenty-five thousand, sixteen

90,425,016

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one billion, forty-three million, nine hundred twenty-two thousand, three hundred eleven

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In the following exercises, round to the indicated place value.

Round to the nearest ten.

407 8,564

410 8,560

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Round to the nearest hundred.

25,846 25,864

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In the following exercises, round each number to the nearest hundred thousand ten thousand.

864,951

865,000 865,000 860,000

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Identify Multiples and Factors

In the following exercises, use the divisibility tests to determine whether each number is divisible by 2, by 3, by 5, by 6, and by 10.

Find Prime Factorizations and Least Common Multiples

In the following exercises, find the prime factorization.

420

2 · 2 · 3 · 5 · 7

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1560

2 · 2 · 2 · 3 · 5 · 13

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72

2 · 2 · 2 · 3 · 3

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252

2 · 2 · 3 · 3 · 7

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In the following exercises, find the least common multiple of the following numbers using the multiples method.

In the following exercises, find the least common multiple of the following numbers using the prime factors method.

Use the Language of Algebra

Use Variables and Algebraic Symbols

In the following exercises, translate the following from algebra to English.

25 7

25 minus 7, the difference of twenty-five and seven

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45 ÷ 5

45 divided by 5, the quotient of forty-five and five

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42 27

forty-two is greater than or equal to twenty-seven

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3 20 ÷ 4

3 is less than or equal to 20 divided by 4, three is less than or equal to the quotient of twenty and four

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In the following exercises, determine if each is an expression or an equation.

Simplify Expressions Using the Order of Operations

In the following exercises, simplify each expression.

In the following exercises, simplify

Evaluate an Expression

In the following exercises, evaluate the following expressions.

x 2 + 5 x 8 when x = 6

58

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Source:  OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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