1. Estimating Square Roots of Numbers
Review: Mini-Quiz Estimation
Estimating Square Roots of Numbers
1. The is between two integers.
Name the integers. Explain your answer.
2. Estimate the Explain your answer.

2. Class Greeting

3. Objective: The student will be able to solve Mathematical Problems involving estimation techniques.

4. Example 2: Approximating Square Roots to the Nearest Hundredth
Approximate 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.

5. Example 2 Continued
Approximate 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

6. Approximate 135 to the nearest hundredth.
Example 2 Continued
Approximate 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

7. Lesson Summary:
Objective: The student will be able to solve Mathematical Problems involving estimation techniques.

8. Preview of the Next Lesson:
Objective: The student will be able to solve Mathematical Problems involving estimation techniques.

9. Mathematical Skills and Processes - HW 5
Homework
Mathematical Skills and Processes - HW 5