Virginia SOL Math / Grade 6 / Number & Number Sense

6.NS.1

Fractions, Decimals & Percents

What you'll learn

  • Represent equivalent fractions, decimals, and percents in different forms
  • Convert among fractions, decimals, and percents
  • Compare and order fractions, decimals, and percents

Words to know

Percent —
a part out of 100, shown with the symbol %
Decimal —
a number written with a decimal point, like 0.75
Equivalent —
different forms that name the same value
Terminating decimal —
a decimal that ends, like 0.5
Repeating decimal —
a decimal with a digit or group that repeats, like 0.333...

Why it matters Prices, test scores, discounts, and statistics are shown as fractions, decimals, or percents, so switching between them lets us compare fairly.

Worked examples

Model ItI do

Write 3/4 as a decimal and as a percent.

Divide the numerator by the denominator: 3 divided by 4 equals 0.75. To make a percent, multiply the decimal by 100: 0.75 times 100 equals 75, so 3/4 = 0.75 = 75 percent.

Try It TogetherWe do

Order from least to greatest: 0.6, 1/2, and 55 percent.

Write each as a decimal: 0.6, 1/2 = 0.5, and 55 percent = 0.55. Comparing 0.5, 0.55, 0.6 gives the order 1/2, 55 percent, 0.6.

Now YouYou do

Write 2/5 as a decimal and as a percent.

Divide to get the decimal, then multiply by 100 for the percent. Check your answer in the back of this chapter.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.Write 1/2 as a decimal.

  2. 2.Write 50 percent as a decimal.

  3. 3.Write 0.9 as a percent.

On Level

The core Quick Check from the book.

  1. 1.Write 0.4 as a fraction in simplest form.

  2. 2.Write 3/5 as a percent.

  3. 3.Write 25 percent as a decimal.

  4. 4.Order from least to greatest: 0.7, 3/4, 70 percent.

  5. 5.Which is greater: 0.8 or 3/4?

Challenge

Stretch your thinking.

  1. 1.Order from least to greatest: 3/8, 0.4, 35 percent.

  2. 2.Write 7/8 as a decimal and as a percent.

  3. 3.Which is greater: 2/3 or 65 percent?