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Question

Question 3(d)

Find the value of the following:


3845×5×782+769×25×218

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Solution

We need to find out which of the following pairs would yield a product that would enable us to use the distributive property and take a common out.

3845×5×782+769×25×218

We can roughly estimate that 769×5 would be somewhat near 3845. So we split 25 as 5×5
= 3845×5×782+769×5×5×218

Now since 769×5 does equal to 3845, we can use the distributive property by taking (3845×5) common
3845×5×782+3845×5×218 = (3845×5)×(782+218)

= 3845×5×1000

= 19225000


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