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ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.
ⓑ Overall, after looking at the checklist, do you think you are well-prepared for the next Chapter? Why or why not?
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
359,417
ⓐ 9
ⓑ 3
ⓒ 4
ⓓ 7
ⓔ 1
58,129,304
ⓐ 5
ⓑ 0
ⓒ 1
ⓓ 8
ⓔ 2
ⓐ ten millions ⓑ tens ⓒ hundred thousands ⓓ millions ⓔ ten thousands
9,430,286,157
ⓐ 6
ⓑ 4
ⓒ 9
ⓓ 0
ⓔ 5
In the following exercises, name each number.
3,975,284
three million, nine hundred seventy-five thousand, two hundred eighty-four
85,620,435
In the following exercises, write each number as a whole number using digits.
sixty-five thousand, nine hundred twelve
ninety million, four hundred twenty-five thousand, sixteen
$\mathrm{90,425,016}$
one billion, forty-three million, nine hundred twenty-two thousand, three hundred eleven
In the following exercises, round to the indicated place value.
Round to the nearest ten.
ⓐ 407 ⓑ 8,564
ⓐ $410$ ⓑ $\mathrm{8,560}$
Round to the nearest hundred.
ⓐ 25,846 ⓑ 25,864
In the following exercises, round each number to the nearest ⓐ hundred ⓑ thousand ⓒ ten thousand.
864,951
ⓐ $\mathrm{865,000}$ ⓑ $\mathrm{865,000}$ ⓒ $\mathrm{860,000}$
3,972,849
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.
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 Variables and Algebraic Symbols
In the following exercises, translate the following from algebra to English.
$45\xf75$
45 divided by 5, the quotient of forty-five and five
$42\ge 27$
forty-two is greater than or equal to twenty-seven
$3\le 20\xf74$
3 is less than or equal to 20 divided by 4, three is less than or equal to the quotient of twenty and four
$a\ne 7\xb74$
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.
${10}^{8}$
In the following exercises, simplify
$9+12\text{/}3+4$
$33\xf7\left(3+8\right)\xb72$
${\left(4+5\right)}^{2}$
Evaluate an Expression
In the following exercises, evaluate the following expressions.
$5x-4$ when $x=6$
${3}^{x}$ when $x=3$
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