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To make solving easier, we break down 560 into more comfortable numbers, preferably round ones.
We obtain:
We multiply 3 by each of the terms in parentheses:
We solve the exercises in parentheses and obtain:
1680
\( 100-(30-21)= \)
We choose place value chunks like 500+60 because they're easier to multiply mentally. You could use 550+10, but round hundreds and tens are simpler to calculate quickly!
Yes, but breaking it down using the distributive property makes it much easier and reduces mistakes. It's especially helpful for mental math and understanding the process step-by-step.
The final answer should always be the same! For example, gives 1200+480=1680, same as our method. This shows the distributive property works with any breakdown.
Practice both! Mental breakdown is great for building number sense, while standard algorithm (stacking) works well for larger numbers. Choose what feels most comfortable for you.
Always double-check each step! Verify 3×500=1500 and 3×60=180 separately, then confirm 1500+180=1680. If your final answer doesn't match the choices, review each calculation.
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