5.1 Decimals

Before you get started, take this readiness quiz.

Name the number $4,926,015$ in words.
If you missed this problem, review the reference.

Round $748$ to the nearest ten.
If you missed this problem, review the reference.

Name each decimal: ⓐ $4.3$ ⓑ $2.45$ ⓒ $0.009$ ⓓ $−15.571 .$

Name each decimal:

ⓐ $6.7$ ⓑ $19.58$ ⓒ $0.018$ ⓓ $−2.053$

Name each decimal:

ⓐ $5.8$ ⓑ $3.57$ ⓒ $0.005$ ⓓ $−13.461$

Write fourteen and thirty-seven hundredths as a decimal.

Write as a decimal: thirteen and sixty-eight hundredths.

Write as a decimal: five and eight hundred ninety-four thousandths.

Write as a decimal: fifty-eight thousandths.

Write as a decimal: sixty-seven thousandths.

Write as a fraction or mixed number. Simplify the answer if possible.

ⓐ $5.3$ ⓑ $6.07$ ⓒ $−0.234$

Write as a fraction or mixed number. Simplify the answer if possible.

ⓐ $8.7$ ⓑ $1.03$ ⓒ $−0.024$

Order the following decimals using $< \text{or} >:$

1. ⓐ $0.64 __ 0.6$
2. ⓑ $0.83 __ 0.803$

Order each of the following pairs of numbers, using $< \text{or} >:$

ⓐ $0.42 __ 0.4$ ⓑ $0.76 __ 0.706$

Order each of the following pairs of numbers, using $< \text{or} >:$

ⓐ $0.1 __ 0.18$ ⓑ $0.305 __ 0.35$

Use $< \text{or} >$ to order. $−0.1 __ −0.8 .$

Order each of the following pairs of numbers, using $< \text{or} >:$

$−0.3 ___ −0.5$

Order each of the following pairs of numbers, using $< \text{or} >:$

$−0.6 ___ −0.7$

Round to the nearest hundredth: $1.047 .$

Round to the nearest hundredth: $9.173 .$

Round $6.582$ to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

Round $15.2175$ to the nearest ⓐ thousandth ⓑ hundredth ⓒ tenth.

Name each decimal.

$5.5$

Name each decimal.

$5.01$

Name each decimal.

$8.71$

Name each decimal.

$0.002$

Name each decimal.

$0.381$

Name each decimal.

$−17.9$

Translate the name into a decimal number.

Eight and three hundredths

Translate the name into a decimal number.

Twenty-nine and eighty-one hundredths

Translate the name into a decimal number.

Seven tenths

Translate the name into a decimal number.

One thousandth

Translate the name into a decimal number.

Twenty-nine thousandths

Translate the name into a decimal number.

Negative eleven and nine ten-thousandths

Translate the name into a decimal number.

Thirteen and three hundred ninety-five ten thousandths

Convert each decimal to a fraction or mixed number.

$1.99$

Convert each decimal to a fraction or mixed number.

$15.7$

Convert each decimal to a fraction or mixed number.

$0.239$

Convert each decimal to a fraction or mixed number.

$0.13$

Convert each decimal to a fraction or mixed number.

$0.011$

Convert each decimal to a fraction or mixed number.

$−0.00007$

Convert each decimal to a fraction or mixed number.

$6.4$

Convert each decimal to a fraction or mixed number.

$7.05$

Convert each decimal to a fraction or mixed number.

$4.006$

Convert each decimal to a fraction or mixed number.

$10.25$

Convert each decimal to a fraction or mixed number.

$1.324$

Convert each decimal to a fraction or mixed number.

$14.125$

Order each of the following pairs of numbers, using $< \text{or} >.$

$0.9 __ 0.6$

Order each of the following pairs of numbers, using $< \text{or} >.$

$0.37 __ 0.63$

Order each of the following pairs of numbers, using $< \text{or} >.$

$0.6 __ 0.59$

Order each of the following pairs of numbers, using $< \text{or} >.$

$0.91 __ 0.901$

Order each of the following pairs of numbers, using $< \text{or} >.$

$−0.5 __ −0.3$

Order each of the following pairs of numbers, using $< \text{or} >.$

$−0.62 \underline −0.619$

Round each number to the nearest tenth.

$0.67$

Round each number to the nearest tenth.

$2.84$

Round each number to the nearest hundredth.

$0.845$

Round each number to the nearest hundredth.

$5.7932$

Round each number to the nearest hundredth.

$0.299$

Round each number to the nearest hundredth.

$4.098$

Round each number to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

$5.781$

Round each number to the nearest ⓐ hundredth ⓑ tenth ⓒ whole number.

$63.479$

Salary Increase Danny got a raise and now makes $\$\text{58},\text{965}.\text{95}$ a year. Round this number to the nearest:

ⓐ dollar

ⓑ thousand dollars

ⓒ ten thousand dollars.

Sales Tax Hyo Jin lives in San Diego. She bought a refrigerator for $\$\text{1624}.\text{99}$ and when the clerk calculated the sales tax it came out to exactly $\$\text{142}.\text{186625} .$ Round the sales tax to the nearest ⓐ penny ⓑ dollar.

How does your knowledge of money help you learn about decimals?

Jim ran a $100-meter$ race in $\text{12}.\text{32 seconds} .$ Tim ran the same race in $\text{12}.\text{3 seconds} .$ Who had the faster time, Jim or Tim? How do you know?