Multiplication means equal groups: is six groups of four. Big products use one idea: you can break a number into parts, multiply each part, and add. Picture a rectangle wide and tall, split into a part and a part.
| 20 | 3 | |
|---|---|---|
| 7 |
. This is the distributive property, and you'll use it all the way to algebra.
Work through it
Split 34 into tens and ones.
Multiply each part by 6. and
Add them.
Split both numbers. Now there are four pieces.
Work them out.
Add them.
Why does multiplying by 10 add a zero?
Each digit moves one place left, so it's worth ten times more.
Watch out for this
, from and then adding just 1 or 3.
Both parts get multiplied. It's , not 3. The answer is .
The short version
Split one number into tens and ones, multiply each part, then add the results.
Split one number into tens and ones, multiply each part, then add the results.
Your turn
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