Decimals

A decimal is just a whole number with its place values shifted: 3.75 is 3 ones, 7 tenths and 5 hundredths. Keep track of place value and decimals behave exactly like the whole numbers you already know.

Three lessons cover the essentials: moving the point when you multiply or divide by 10, 100 and 1,000; adding and subtracting with the points lined up; and multiplying decimals by working with whole numbers and putting the point back at the end.

Method 1 · Level 1

Multiplying and Dividing Decimals by 10, 100 and 1,000

Count the zeros and move the decimal point that many places: right to multiply (3.7 × 10 = 37), left to divide (4.5 ÷ 10 = 0.45).

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Method 2 · Level 1

Adding and Subtracting Decimals

Line up the decimal points, fill gaps with zeros, then add or subtract as with whole numbers: 2.5 + 1.75 = 2.50 + 1.75 = 4.25.

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Method 3 · Level 2

How to Multiply Decimals

Ignore the points, multiply the whole numbers, then give the answer as many decimal places as the two numbers have together: 0.3 × 0.4 → 3 × 4 = 12 → 0.12.

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Tip: Estimate first: 2.4 × 0.9 must be a little less than 2.4. If your answer is 21.6, the point is in the wrong place.