Unit 7:Decimals

Course summary field: Decimal place value, comparing decimals, and adding/subtracting them.

Decimals are just another way to write fractions, specifically fractions with 10, 100, or 1,000 on the bottom. Think of money: $0.75 means 75 cents, or 75/100 of a dollar.

Just like whole numbers, decimals have place value — but going the other direction from the decimal point:

Comparing decimals: line up the decimal points, then compare digit by digit from left to right . Just like comparing whole numbers.

Example 1 : Which is bigger, 3.08 or 3.8?

Line them up: 3.08 vs. 3.80 (adding a zero doesn’t change the value, it just helps us compare)

Compare the ones place: both are 3, tied so far

Compare the tenths place: 0 vs. 8 → 8 is bigger

Answer: 3.8 is bigger

💡 Watch out: More digits doesn’t mean a bigger number! 3.08 has 3 digits after the decimal counting the invisible zero, but it’s still smaller than 3.8.

Adding and subtracting decimals: line up the decimal points (this is the most important step. It’s like lining up ones with ones, tens with tens).

Example 2: 4.25 + 1.7

Its that easy! for more practice solve lesson 33&34 from our practice booklet.

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