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Question

Estimate the following products

A) 87 X 313

B) 9 X 795

C) 898 X 785

D) 958 X 387

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Solution

Estimating products by rounding numbers to the nearest ten, hundred, thousand etc., we know how to estimate the sum, difference, etc., to the nearest 10, 100, 1000, etc. Now we have to estimate the products.

In order to estimate products, we round the given factors to the required place value. Estimating products help us to check the reasonableness of an answer.

A) 87 can be rounded up 200 while 313 can be rounded down to 300

So 87×313 => 100×300
=30000

B) 9 can be rounded up to 10 and 795 can be rounded up to 800

So 9×795 => 10×800
=8000
C) 898 can be rounded up to 900 785 can be rounded up to 800

So 898×785 => 900×800
=720000

D) 958 can be rounded 1 mm and 387 can be rounded up to 400

So 958×387 => 1000×400
=400000

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