Decimal Operations Math Example 5

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

Example 5

medium
Calculate 4.25ร—3.64.25 \times 3.6.

Solution

  1. 1
    Ignore the decimals and multiply the whole numbers: 425ร—36425 \times 36. Break it down: 425ร—36=425ร—30+425ร—6=12750+2550=15300425 \times 36 = 425 \times 30 + 425 \times 6 = 12750 + 2550 = 15300.
  2. 2
    Count the total decimal places in the original numbers: 4.254.25 has 22 decimal places, and 3.63.6 has 11 decimal place, giving 2+1=32 + 1 = 3 decimal places total.
  3. 3
    Place the decimal point 33 places from the right in 1530015300: 15.300=15.315.300 = 15.3.

Answer

15.315.3
When multiplying decimals, first multiply as if they were whole numbers, then place the decimal point so the product has as many decimal places as the two factors combined.

About Decimal Operations

Decimal operations โ€” addition, subtraction, multiplication, and division โ€” follow the same rules as whole-number arithmetic but require careful attention to decimal point placement and alignment.

Learn more about Decimal Operations โ†’

More Decimal Operations Examples