← Back to Math Adventures

Adding Decimals

Overview

Dealing with pocket change.

What is it?

Adding numbers that have parts less than one.

History

Simon Stevin introduced the decimal system to Europe in 1585.

Key Idea

Button up your shirt: Keep the decimal buttons (points) in a straight vertical line.

Practice This Topic

Concept Guide

Plain English: Adding decimals is exactly like adding big numbers, but you MUST line up the dots. If one number has no dot, it goes at the end.

Real-world example: Adding $10 (no cents) and $2.50. You must add the 2 to the 0, not the 1.

How to do it

  1. Write the numbers vertically.
  2. LINE UP THE DOTS.
  3. Fill empty spaces with 0.
  4. Add normally.

Common Pitfall

Lining up the last number instead of the dot.

Word Problem
"You have 1.5 liters of soda and buy a 2 liter bottle. How much soda total?"
Reasoning: 1.5 + 2.0 = 3.5 Liters. (Line up the 1 and the 2).

Practice Examples

The Line Up
3.14 + 2.50 ------ 5.64
Dots are straight.
Whole Numbers
12.0 + 0.5 ------ 12.5
12 becomes 12.0