Long Multiplication & Division

25 min
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To multiply by a two-digit number, break it into place-value pieces and add the parts.

Worked example. 234×12234 \times 12. Split the 1212 into 10+210 + 2:

234×10=2340234×2=468234 \times 10 = 2\,340 \qquad 234 \times 2 = 468
2340+468=28082\,340 + 468 = 2\,808

Division shares a total into equal groups. 864÷6864 \div 6: how many sixes fit? 6×100=6006 \times 100 = 600, leaving 264264; 6×40=2406 \times 40 = 240, leaving 2424; 6×4=246 \times 4 = 24, leaving 00. So 864÷6=144864 \div 6 = 144.

Estimating first keeps you safe: round to the leading digits, e.g. 412×19400×20=8000412 \times 19 \approx 400 \times 20 = 8\,000, so an answer near 80008\,000 is sensible.

Calculate 234×12234 \times 12.

A farmer packs 864864 oranges equally into 66 crates. How many oranges are in each crate?

Estimate 412×19412 \times 19 by rounding each number to its leading digit.

A fully loaded minibus taxi carries 1515 passengers. How many passengers can 2424 full taxis carry altogether?