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To make it easier for ourselves in the solving process, we'll break down 12 and 33 into exercises with smaller and more convenient numbers, preferably round numbers.
We'll solve the exercise using the distribution law:
We'll multiply the first term in the left parentheses by the first term in the right parentheses.
We'll multiply the first term in the left parentheses by the second term in the right parentheses.
We'll multiply the second term in the left parentheses by the first term in the right parentheses.
We'll multiply the second term in the left parentheses by the second term in the right parentheses.
And we get:
We'll solve each of the expressions in parentheses and get:
We'll solve the exercise from left to right:
396
\( 140-70= \)
Breaking numbers into tens and ones makes mental math much easier! Working with round numbers like 10 and 30 reduces calculation errors and helps you understand the multiplication process.
No, but it's especially helpful for two-digit numbers. For simple problems like 12×10, direct multiplication is faster. Use distributive property when it makes calculations clearer.
Double-check each step: 10×30=300, 10×3=30, 2×30=60, 2×3=6. Make sure you're multiplying the right numbers and not mixing up the terms.
Think "FOIL" - First, Outer, Inner, Last terms. Or use a grid method: draw a 2×2 table with your broken-down numbers to ensure you don't miss any combinations.
Yes! Use the standard algorithm (stacking numbers vertically) or estimate: 12×33 is close to 10×30=300, so 396 makes sense while 300 would be too low.
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