Name ___________________________________
Date __________________
Mr. Tallman
Math 8R
Do Now
1) Between what two whole numbers does √32 lie between? Show all work.
2) Approximate √5 to the nearest whole number. Show all work.
Lesson #5 – Approximating Square Roots to the Nearest Tenth
In the previous lesson, we saw how to approximate square roots to the nearest whole number. In this
lesson, we will take that concept one step further and approximate square roots to the nearest tenth.
Example 1) Approximate √11 to the nearest tenth. Show all work.
Steps for approximating square roots to the nearest tenth:
Steps
1) Approximate √11 to the nearest whole number.
2) Evaluate √11 on your calculator
Press:
2nd
𝑥2
11
enter
3) Round to the nearest tenth.
4) Write your answer.
Example
Example 2) Approximate √15 to the nearest tenth.
Example 3) Approximate √28 to the nearest tenth.
Now, You Try!
Directions: Approximate the following square roots to the nearest tenth. Be sure to show all
work.
4) √35
5) √45
6) √14
7) √5