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To make it easier for us to solve, let's break down 12 and 19 into more convenient numbers, preferably round ones.
We get:
We'll use the distributive property to solve.
First, 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.
We get:
Let's solve what's in the parentheses and we get:
We'll use the associative property and first solve:
Now we get:
Let's solve from left to right:
1242
\( 140-70= \)
Breaking numbers into round numbers minus small amounts makes mental math much easier! It's easier to work with 20 and 70 than 18 and 69 directly.
Remember FOIL - First, Outer, Inner, Last! Multiply the first terms, then outer, then inner, then last terms from each parentheses.
Because ! When you multiply two negative numbers, the result is always positive. This is a key rule in multiplication.
Yes, you can use traditional multiplication or a calculator! The distributive method is just one strategy that helps with mental math and understanding number relationships.
Look for ways to create round numbers (like 10, 20, 50, 70) that are close to your original numbers. The goal is to make the arithmetic easier!
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