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In order to facilitate the resolution process, we first break down 33 into a smaller addition exercise with more manageable and preferably round numbers:
Using the distributive property we then multiply each of the terms in parentheses by 9:
Finally we solve each of the exercises inside of the parentheses:
297
\( 140-70= \)
Breaking into 30+3 uses round numbers that are easier to multiply! You could use 20+13, but 9×30=270 is much simpler to calculate than 9×20 and 9×13.
That's okay for smaller numbers, but with larger numbers like 33, you're more likely to make calculation errors. The distributive property makes complex multiplication manageable and accurate.
For homework and tests, yes! Showing your work helps you catch mistakes and proves you understand the process. Plus, teachers can give partial credit even if your final answer is wrong.
You could, but it's less efficient! Since 9 is already a single digit, it's easier to work with. The distributive property works best when you break down the larger, more complex number.
Go back and check each multiplication: and . If these are correct, recheck your addition: 270+27=297.
For building number sense and mental math skills, absolutely! This method helps you understand multiplication deeply, which makes you faster with all math problems long-term.
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