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91Ó°ÊÓ

Find a low and high estimate for the product or quotient. (p. 748)

31217÷218.

Short Answer

Expert verified

The low estimate is104, and the high estimate is157.

Step by step solution

01

Step-1 – Concept of low and high estimate of quotient

To find the low estimate, round the divisor up and replace the dividend with a number that is divisible by the increased divisor and is less than the actual dividend.

To find the high estimate, round the divisor down and replace the dividend with a number that is divisible by the decreased divisor and is greater than the actual dividend.

02

Step-2 – Find the low estimate

To find the low estimate, round the divisor up and replace the dividend with a number that is divisible by the increased divisor and is less than the actual dividend.

So, the low estimate of the quotient is

3001043120031200¯ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰0

Thus, the low estimate of the quotient is 104.

03

Step-3 – Find the high estimate

To find the high estimate, round the divisor down and replace the dividend with a number that is divisible by the decreased divisor and is greater than the actual dividend.

So, the high estimate of the quotient is

2001573140031400¯ â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰â¶Ä‰0

Thus, the high estimate of the quotient is 157.

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