Use the distributive property to calculate each value mentally. 1...

Question

Use the distributive property to calculate each value mentally. 123 5/8 * 1 1/2 - 23 5/8 * 1 1/2

Accepted Answer

Hey everyone here we are asked to solve the expression by using the distributive property. So here we are given the expression 256 and 2/5 times two and one half minus 56 2/5 times two and one half. So now our first step here in solving this expression is to use the distributive property but in reverse this means that we need to find a common factor between our two terms here and factor it out. So in this case we see that the left hand side term has a two and one half and this two and one half is on the right hand side as well so we can go ahead and factor out this value. So rewriting our expression, we have two and one half times the quantity of 256 and 2/5 minus 56 2/5. So now from here we just need to continue to simplify by subtracting these two terms in the parentheses. So we have two and one half times the quantity of 200. And now our next step in simplifying is to transform this mixed number here, this two and one half we need to transform it into an improper fraction. So our two and one half becomes 5/2 and again this is multiplied by 200. So now finding our product here five halves times simplifies to just 500 this is our answer here for choice B. Thanks for watching, I hope you found this video helpful and I'll see you again next time

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Use the distributive property to calculate each value mentally. 123 5/8 * 1 1/2 - 23 5/8 * 1 1/2

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