Fractions & Decimals
Lesson 3 of 3 6 min +35 XP

Meet Decimals

Tenths, money, and the decimal point.

What you'll learn

  • Read tenths as decimals
  • Connect fractions and decimals
  • Use money to think in decimals
Money is fractions in disguise

$0.50 is just half a dollar, $0.25 a quarter — decimals are fractions written another way, in tenths and hundredths. Once you see money as decimals, the decimal point stops being mysterious.

Decimals are fractions in disguise

A decimal is another way to write a fraction whose denominator is 10 (or 100, or 1000). The decimal point separates whole things from parts of a thing. 0.7 means 7/10 — seven pieces out of ten.

3/10 = 0.3   ·   1/2 = 5/10 = 0.5   ·   $0.25 is 25 cents, which is 25/100 of a dollar
Money is decimal practice

Every price tag is a decimal! A dollar is the whole and cents are hundredths. $1.50 means one whole dollar and 50/100 more.

Lab · The coin decimal machine
  1. Gather (or imagine) 10 dimes. Ten dimes make one dollar, so one dime is 1/10 of a dollar, which is $0.10.
  2. Count out 3 dimes and write the amount as a decimal.
  3. Count out 7 dimes and write that as a decimal too.
  4. Check: 3 dimes plus 7 dimes should add up to exactly $1.00. Do your decimals add up?

What you should see: You used real money to see that tenths written as decimals add up just like whole numbers do.

Knowledge Check

+10 XP / correct

1. How do you write 9/10 as a decimal?

2. Which is the same amount as 0.5?