Virginia SOL Math / Grade 4 / Number & Number Sense

4.NS.5

Relate Fractions & Decimals

What you'll learn

  • Write equivalent fractions and decimals for tenths and hundredths
  • Represent the same value as a fraction and as a decimal
  • Compare a fraction and a decimal

Words to know

Tenths —
one part when a whole is split into 10 equal parts
Hundredths —
one part when a whole is split into 100 equal parts
Equivalent —
naming the same amount in a different form
Fraction —
a number like 3/10 that shows equal parts
Decimal —
a number like 0.3 written with a decimal point

Why it matters Knowing that 1/2 equals 0.5 lets us switch between fractions and decimals when we work with money and measurement.

Worked examples

Model ItI do

Write 7/10 as a decimal.

Seven tenths is written with one place after the decimal point. So 7/10 = 0.7. Both name seven of ten equal parts.

Try It TogetherWe do

Write 0.25 as a fraction.

The 5 is in the hundredths place, so 0.25 means 25 hundredths, or 25/100. That simplifies to 1/4.

Now YouYou do

Write 3/4 as a decimal.

Write an equivalent fraction with a denominator of 100, then read it as a decimal. Check your answer in the back.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.Write 4/10 as a decimal.

  2. 2.Write 0.7 as a fraction in tenths.

  3. 3.Write 1/10 as a decimal.

On Level

The core Quick Check from the book.

  1. 1.Write 9/10 as a decimal.

  2. 2.Write 0.6 as a fraction in tenths.

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

  4. 4.Write 0.03 as a fraction.

  5. 5.Write >, <, or = : 1/4 ___ 0.25

Challenge

Stretch your thinking.

  1. 1.Write 7/100 as a decimal.

  2. 2.Write >, <, or = : 3/4 ___ 0.7

  3. 3.Write 0.50 as a fraction in simplest form.