Multiplying Larger Numbers

≈ 18 min

To multiply a two- or three-digit number by a single digit, break the big number into its place-value parts, multiply each part, then add.

Worked example. $34 \times 6$ :

34 \times 6 = (30 \times 6) + (4 \times 6) = 180 + 24 = 204

The same method stretches to three digits. $213 \times 4 = (200 \times 4) + (10 \times 4) + (3 \times 4) = 800 + 40 + 12 = 852$ .

Work out $23 \times 4$ .

Work out $45 \times 6$ .

A minibus taxi carries $15$ passengers. How many passengers are in $6$ full taxis?

$90$

$21$

$80$

$96$

Work out $213 \times 4$ .