Decimals

Learn to read, write, and use decimals confidently in money, measurements, and real life!

What Are Decimals

Decimals help you understand numbers that are smaller than 1 whole. You see decimals when you work with money, measure length, weight, or read prices at a shop. A decimal shows parts of a whole by using a dot called a decimal point. The digits to the right of the decimal point show parts like tenths and hundredths.

Decimals are very useful when you want to be exact. For example you might want to know exactly how much something costs or exactly how long or heavy something is. Decimals let you write these numbers in a simple way.

How Decimals Work

A decimal has two parts. The part before the decimal point shows the whole number. The part after the decimal point shows the part of the whole. If you write 0.5 it means five tenths. If you write 1.25 it means one whole plus twenty five hundredths.

When you count money you use decimals all the time. If you buy a snack that costs 1.50 you can write it as 1.50. If you measure something and say it is 3.5 centimeters long you are using decimals to show that it is more than 3 but not quite 4.

Why Decimals Are Important

Decimals help you read and write numbers exactly. They are used when you buy things, measure objects, bake or cook with recipes, weigh items, and even when you read sports scores and data. Understanding decimals makes you confident when you need to work with small parts and add or subtract them correctly.

How to Read Decimals

You read decimals by saying the whole number first then reading the decimal point as point then reading the digits after the point. For example 1.5 means one and five tenths. 0.7 means seven tenths. 2.05 means two and five hundredths because the zero shows there are no tenths but you have five hundredths.

When you see money decimals are easy to spot. Fifty cents is written as 0.50 dollars. Two dollars and twenty five cents is written as 2.25 dollars.

Real Life Examples

Imagine you have 5 dollars and you buy a sandwich that costs 2.75. You need to subtract 2.75 from 5.00 to know how much money you have left. Or you measure a pencil that is 9.5 centimeters long. You know that means it is 9 centimeters plus half a centimeter more.

When you go shopping you see decimals on every price tag. Knowing how to add and subtract decimals helps you keep track of how much you spend and how much change you should get back.

Decimals Practice

Understanding Decimals

  • Write 0.5 as a fraction
  • Write 0.25 as a fraction
  • Which is larger: 0.3 or 0.7?
  • Which is smaller: 0.8 or 0.6?
  • Write two dollars and fifty cents as a decimal

Adding and Subtracting Decimals

  • 0.4 plus 0.5 equals
  • 0.6 plus 0.3 equals
  • 1.0 minus 0.5 equals
  • 2.5 minus 1.5 equals
  • 1.2 plus 0.8 equals
  • 3.0 minus 2.0 equals
  • 4.5 plus 0.5 equals
  • 5.0 minus 2.5 equals
  • 0.75 plus 0.25 equals
  • 2.0 minus 0.8 equals

Comparing Decimals

  • Which is greater: 0.6 or 0.9?
  • Which is smaller: 0.4 or 0.5?
  • Put these in order from smallest to largest: 0.1, 0.2, 0.5
  • Put these in order from largest to smallest: 0.9, 0.7, 0.4
  • Which is greater: 1.2 or 1.5?
  • Which is smaller: 2.3 or 2.0?
  • Which is greater: 0.8 or 0.75?
  • Which is smaller: 0.35 or 0.4?
  • Which is larger: 1.05 or 1.02?
  • Which is smaller: 0.98 or 1.0?

Money and Word Problems

  • You have 5 dollars. You buy a toy for 2.50. How much do you have left?
  • You buy a snack for 1.25 and a drink for 0.75. How much do you spend in total?
  • Mia has 3 dollars and spends 1.50. How much does she have now?
  • A pencil costs 0.85 and an eraser costs 0.45. How much do they cost together?
  • A sandwich costs 2.75. You pay with 5 dollars. How much change should you get back?
  • You buy 3 candies each costs 0.50. How much do you spend?
  • A pack of markers costs 1.95. You have 2 dollars. Do you have enough?
  • A notebook costs 0.99. If you buy 2, how much do you pay?
  • You have 10 dollars. You spend 3.25 on lunch and 2.75 on a drink. How much is left?
  • A bottle of water costs 0.60. You give the shop 1 dollar. How much change do you get?