Download presentation

Published byKaila Hudgens Modified over 4 years ago

1
Math fact: The sum of any number of consecutive odd whole numbers, beginning with 1, is a perfect square e.g. 1+3=4, 1+3+5=9, =16

2
**Example 1: Estimating Square Roots of Numbers**

The 55 is between two integers. Name the integers. Explain your answer. 55 36, 49, 64, 81 List perfect squares near 55. 49 < 55 < 64 Find the perfect squares nearest 55. 49 < 55 < 64 Find the square roots of the perfect squares. 7 < 55 < 8 55 is between 7 and 8 because 55 is between 49 and 64.

3
**Example 2: Approximating Square Roots to the Nearest Hundredth**

Approximate √135 to the nearest hundredth. Step 1 Find the value of the whole number. 121 < 135 < 144 Find the perfect squares nearest 135. √121 < √135 < 144 √ Find the square roots of the perfect squares. 11 < 135 < 12 √ The number will be between 11 and 12. The whole number part of the answer is 11.

4
Example 2 Continued Approximate √135 to the nearest hundredth. Step 2 Find the value of the decimal. Find the difference between the given number, 135, and the lower perfect square. 135 – 121 = 14 Find the difference between the greater perfect square and the lower perfect square. 144 – 121 = 23 1423 Write the difference as a ratio. Divide to find the approximate decimal value. 14 ÷ 23 ≈ 0.609

5
**Approximate √135 to the nearest hundredth.**

Example 2 Continued Approximate √135 to the nearest hundredth. Step 3 Find the approximate value. Combine the whole number and decimal. = ≈ 11.61 Round to the nearest hundredth. The approximate value of to the nearest hundredth is

6
**Example 3: Using a Calculator to Estimate the Value of a Square Root**

Use a calculator to find Round to the nearest tenth. 600 ≈ … Use a calculator. 600 ≈ 24.5 Round to the nearest tenth. 600 rounded to the nearest tenth is 24.5.

Similar presentations

OK

5 Minute Math In which place is the 4 in each of the following: 140,399 48,210 450 129,394 Write 2 equivalent fractions for each of the following:

5 Minute Math In which place is the 4 in each of the following: 140,399 48,210 450 129,394 Write 2 equivalent fractions for each of the following:

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google