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To make solving easier, we break down 11 into more comfortable numbers, preferably round ones.
We obtain:
We multiply 34 by each of the terms in parentheses:
We solve the exercises in parentheses and obtain:
374
\( 140-70= \)
Breaking down 11 into 10 + 1 is easier because multiplying by 10 just adds a zero! You could break down 34, but then you'd have more complex calculations like 11 × 30 and 11 × 4.
Absolutely! The standard algorithm (stacking numbers vertically) works perfectly. The distributive method just helps you understand what's happening: or .
Double-check your addition! 340 + 34 = 374 is correct. If you got 330, you might have calculated 10 × 33 instead of 10 × 34. Always verify each step carefully.
Yes! For two-digit numbers, there's a neat trick: add the two digits and put the sum in the middle. For 34: 3 + 4 = 7, so 11 × 34 = 374. But the distributive method helps you understand why this works!
Choose the method that feels most comfortable! Distributive property helps with understanding, standard algorithm is systematic, and mental math tricks are fast. Practice different methods to build flexibility.
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