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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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Questions & Answers

A golfer on a fairway is 70 m away from the green, which sits below the level of the fairway by 20 m. If the golfer hits the ball at an angle of 40° with an initial speed of 20 m/s, how close to the green does she come?
Aislinn Reply
cm
tijani
what is titration
John Reply
what is physics
Siyaka Reply
A mouse of mass 200 g falls 100 m down a vertical mine shaft and lands at the bottom with a speed of 8.0 m/s. During its fall, how much work is done on the mouse by air resistance
Jude Reply
Can you compute that for me. Ty
Jude
what is the dimension formula of energy?
David Reply
what is viscosity?
David
what is inorganic
emma Reply
what is chemistry
Youesf Reply
what is inorganic
emma
Chemistry is a branch of science that deals with the study of matter,it composition,it structure and the changes it undergoes
Adjei
please, I'm a physics student and I need help in physics
Adjanou
chemistry could also be understood like the sexual attraction/repulsion of the male and female elements. the reaction varies depending on the energy differences of each given gender. + masculine -female.
Pedro
A ball is thrown straight up.it passes a 2.0m high window 7.50 m off the ground on it path up and takes 1.30 s to go past the window.what was the ball initial velocity
Krampah Reply
2. A sled plus passenger with total mass 50 kg is pulled 20 m across the snow (0.20) at constant velocity by a force directed 25° above the horizontal. Calculate (a) the work of the applied force, (b) the work of friction, and (c) the total work.
Sahid Reply
you have been hired as an espert witness in a court case involving an automobile accident. the accident involved car A of mass 1500kg which crashed into stationary car B of mass 1100kg. the driver of car A applied his brakes 15 m before he skidded and crashed into car B. after the collision, car A s
Samuel Reply
can someone explain to me, an ignorant high school student, why the trend of the graph doesn't follow the fact that the higher frequency a sound wave is, the more power it is, hence, making me think the phons output would follow this general trend?
Joseph Reply
Nevermind i just realied that the graph is the phons output for a person with normal hearing and not just the phons output of the sound waves power, I should read the entire thing next time
Joseph
Follow up question, does anyone know where I can find a graph that accuretly depicts the actual relative "power" output of sound over its frequency instead of just humans hearing
Joseph
"Generation of electrical energy from sound energy | IEEE Conference Publication | IEEE Xplore" ***ieeexplore.ieee.org/document/7150687?reload=true
Ryan
what's motion
Maurice Reply
what are the types of wave
Maurice
answer
Magreth
progressive wave
Magreth
hello friend how are you
Muhammad Reply
fine, how about you?
Mohammed
hi
Mujahid
A string is 3.00 m long with a mass of 5.00 g. The string is held taut with a tension of 500.00 N applied to the string. A pulse is sent down the string. How long does it take the pulse to travel the 3.00 m of the string?
yasuo Reply
Who can show me the full solution in this problem?
Reofrir Reply
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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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