Approximating a Square Root Approximate to the nearest integer. Example 2 The perfect square closest...

Approximating a Square Root Approximate to the nearest integer. Example 2 The perfect square closest to, but less than, 51 is 49. The perfect square closest to, but greater than, 51 is 64. So, 51 is between 49 and 64. This statement can be expressed by the compound inequality 49 < 51 < 64. 51 Identify perfect squares closest to 51. 49 < 51 < 64 < < 49 51 64 Take positive square root of each number. 7 51 8 < < Evaluate square root of each perfect square.

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Transcript of Approximating a Square Root Approximate to the nearest integer. Example 2 The perfect square closest...

Approximating a Square Root

Approximate to the nearest integer.

Example 2

The perfect square closest to, but less than, 51 is 49. The perfect square closest to, but greater than, 51 is 64. So, 51 is between 49 and 64. This statement can be expressed by the compound inequality 49 < 51 < 64.

Identify perfect squares closest to 51.49 < 51 < 64

< <49 51 64 Take positive square root of each number.

7 51 8< < Evaluate square root of each perfect square.

Page 2: Approximating a Square Root Approximate to the nearest integer. Example 2 The perfect square closest to, but less than, 51 is 49. The perfect square closest.

Approximating a Square RootExample 2

ANSWER

Because 51 is closer to 49 than to 64, is closer to 7 than to 8. So, to the nearest integer,

5151 7.≈

Page 3: Approximating a Square Root Approximate to the nearest integer. Example 2 The perfect square closest to, but less than, 51 is 49. The perfect square closest.

ANSWER 11

Checkpoint

Approximate to the nearest whole number.5. 125

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