Main Idea Example 1 Estimate Square Roots Example

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Main Idea Example 1: Estimate Square Roots Example 2: Estimate Square Roots Example 3:

Main Idea Example 1: Estimate Square Roots Example 2: Estimate Square Roots Example 3: Real-World Example

• Use square roots to estimate solutions.

• Use square roots to estimate solutions.

Estimate Square Roots Estimate to the nearest whole number. • The largest perfect square

Estimate Square Roots Estimate to the nearest whole number. • The largest perfect square less than 54 is 49. • The smallest perfect square greater than 54 is 64.

Estimate Square Roots Plot each square root on a number line. Then estimate. 49

Estimate Square Roots Plot each square root on a number line. Then estimate. 49 < 54 < 64 Write an inequality. 72 < 54 < 82 49 = 72 and 64 = 82 Find the square root of each number.

Estimate Square Roots Simplify. So, is between 7 and 8. Since is closer to

Estimate Square Roots Simplify. So, is between 7 and 8. Since is closer to than , the best whole number estimate for is 7. Answer: 7

Estimate A. 4 B. 5 C. 6 D. 7 to the nearest whole number.

Estimate A. 4 B. 5 C. 6 D. 7 to the nearest whole number.

Estimate Square Roots Estimate to the nearest whole number. • The largest perfect square

Estimate Square Roots Estimate to the nearest whole number. • The largest perfect square less than 41. 3 is 36. • The smallest perfect square greater than 41. 3 is 49.

Estimate Square Roots Plot each square root on a number line. Then estimate. 36

Estimate Square Roots Plot each square root on a number line. Then estimate. 36 < 41. 3 < 49 Write an inequality. 62 < 41. 3 < 72 36 = 62 and 49 = 72 Find the square root of each number.

Estimate Square Roots Simplify. So, is between 6 and 7. Since 41. 3 is

Estimate Square Roots Simplify. So, is between 6 and 7. Since 41. 3 is closer to 36 than 49, the best whole number estimate for is 6. Answer: 6

Estimate A. 3 B. 4 C. 5 D. 6 to the nearest whole number.

Estimate A. 3 B. 4 C. 5 D. 6 to the nearest whole number.

PHYSICS To estimate the time in seconds it will take an object to fall

PHYSICS To estimate the time in seconds it will take an object to fall h feet, you can use the expression . About how long will it take an object to fall from a height of 38 feet? Replace h with 38.

First estimate the value of . 36 < 38 < 49 36 and 49

First estimate the value of . 36 < 38 < 49 36 and 49 are the closest perfect squares. 62 < 38 < 72 9 = 32 and 16 = 42 Find the square root of each number. Simplify.

Since 38 is closer to 36 than 49, the best whole number estimate for

Since 38 is closer to 36 than 49, the best whole number estimate for is 6. Use this value to evaluate the expression. Answer: It will take about 1. 5 seconds for an object to fall 38 feet.

PHYSICS To estimate the time in seconds it will take an object to fall

PHYSICS To estimate the time in seconds it will take an object to fall h feet, you can use the expression . About how long will it take an object to fall from a height of 125 feet? A. about 2. 75 s B. about 11 s C. about 31. 25 s D. about 62. 5 s

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