๐Ÿ“˜ Lesson 9 of 21 ยท Arithmetic (Beginner)

๐Ÿ”Ÿ Decimals

Decimals are another way to write fractions, using a decimal point to separate whole numbers from fractional parts.

Course progress: 43%

01 Key Concepts

Decimal Point

Separates the whole-number part from the fractional part.

Place Values After the Point

Tenths, hundredths, thousandths โ€” each one-tenth the size of the one before.

Converting Fractions to Decimals

Divide the numerator by the denominator.

Adding/Subtracting Decimals

Line up the decimal points, then add or subtract as usual.

Multiplying Decimals

Multiply as whole numbers, then place the decimal point based on the total number of decimal places in both factors.

Dividing Decimals

Move the decimal point in both numbers to make the divisor a whole number, then divide normally.

02 Solved Examples

Example 1 Convert 3/4 to a decimal.
  1. Divide 3 by 4.
  2. 3 รท 4 = 0.75.
Answer: 0.75
Example 2 Add 4.35 + 2.7.
  1. Line up decimal points: 4.35 + 2.70.
  2. Add: 4.35 + 2.70 = 7.05.
Answer: 7.05
Example 3 Multiply 1.2 x 0.3.
  1. Multiply as whole numbers: 12 x 3 = 36.
  2. Count total decimal places in factors: 1 + 1 = 2.
  3. Place decimal point 2 places from the right: 0.36.
Answer: 0.36

03 Practice Questions

1Convert 1/2 to a decimal.
0.5
2Add 3.6 + 1.25.
4.85
3Subtract 5.0 - 2.35.
2.65
4Multiply 2.5 x 4.
10
5Divide 6.4 รท 2.
3.2

๐Ÿ“„ Decimals โ€” Downloadable Worksheet

10 questions with a full answer key. Grab the PDF to print, or try the interactive version in your browser.