Multiplying Decimals Math Example 2

Follow the full solution, then compare it with the other examples linked below.

Example 2

medium
Calculate \(2.3 \times 1.4\).

Solution

  1. 1
    Ignore decimals: \(23 \times 14 = ?\).
  2. 2
    \(23 \times 14 = 23 \times 10 + 23 \times 4 = 230 + 92 = 322\).
  3. 3
    Count decimal places: 2.3 has 1, 1.4 has 1 → total 2 decimal places.
  4. 4
    Place decimal: \(322 \rightarrow 3.22\).

Answer

3.22
Multiply as whole numbers (\(23 \times 14 = 322\)), then count total decimal places in both factors (1+1=2) to place the point: 3.22.

About Multiplying Decimals

Multiplying numbers that contain decimal points by first multiplying as if they were whole numbers, then placing the decimal point in the product based on the total number of decimal places in both factors.

Learn more about Multiplying Decimals →

More Multiplying Decimals Examples

Example 1 easy

Calculate (0.4 times 3).

Example 3 easy

Calculate (0.6 times 5).

Example 4 medium

Calculate (1.5 times 0.8).

← All Multiplying Decimals Examples Multiplying Decimals Concept