大象传媒

MultiplicationMultiplying a decimal number

A number can be multiplied to two decimal places by a single-digit whole number or by multiples of 10, 100 and 1000 using a standard written format and without a calculator.

Part of Application of MathsNumeracy skills

Multiplying a decimal number

Multiplying a decimal number by a single digit whole number

To multiply \(23.7\) by \(4\) without using a calculator, you can set it out like this:

Diagram of a multiplication sum.
  1. One decimal place is used in the calculation therefore the solution should also contain one decimal place. Before calculating the solution place the decimal point correctly.
  2. Start with \(4 \times 7\), which is \(28\), so write the \(8\) and carry the \(2\) to the units column.
  3. \(4 \times 3 = 12\), but remember to add the carried \(2\) to get \(14\). Write the \(4\) and carry the \(1\) to the tens column.
  4. \(4 \times 2 = 8\), and we add the carried \(1\) to get \(9\).

Therefore \(23 \cdot 7 \times 4 = 94 \cdot 8\)

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