MultiplicationMultiplying by a two digit whole number

Calculations involving multiplication of whole numbers.

Part ofMathsNumeracy

Multiplying by a two digit whole number

To multiply \(237\) by \(24\) without using a calculator, you can set it out like this:

Diagram of a multiplication sum.

The first line of the calculation is the same procedure as multiplying with a single digit number.

In the second line we are multiplying by \(20\) (two tens). As we are multiplying by tens the unit's digit will always be a zero.

Diagram of a multiplication sum.

In a similar procedure to above:\(2 \times 7 = 14\). Put the \(4\) in the tens column and carry the \(1\) to the hundreds column.

\(2 \times 3 = 6\): add the carried \(1\) to get \(7\) and put this in the hundreds column.

\(2 \times 2 = 4\): nothing has been carried so put the \(4\) in the thousands column.

Diagram of a multiplication sum.

Add \(948\) and \(4740\).

Therefore \(237 \times 24 = 5\,688\)