Estimating Irrational Square Roots

Presentation

•

Mathematics

•

8th Grade

•

Hard

Joseph Anderson

FREE Resource

4 Slides • 13 Questions

Estimating Irrational Numbers- Part 2

I can estimate irrational numbers by approximating their location on a number line or by truncating their decimal expansions.

Ensure you watch the video in order to learn how to do the examples! This will also help with your Homework.

Estimate a square root to the nearest tenth

First- Start with what square root the number is between and then which is closest to the number
Second- Start doing trials to see which number squared is closest to the number
Last- Estimate which number it is

Example²

Find the square root of 15 to the nearest tenth.
First- The square root of 15 is between the square root of 9 and 16.
Second- The square root of 15 is closest to 16
Third- We start trials. We can start with 3.8 and 3.9. 3.8²=14.44 and 3.9²=15.21.
Fourth- We see that 15 is closer to 3.9 so the answer is approximately 3.9.

Multiple Choice

What does truncating mean?

To round the decimal

To take away part of the decimal

To cut all the decimal off, but keep the whole number

Multiple Choice

Estimate the cubed root of 32 to the nearest integer

Multiple Choice

Estimate the cubed root of 200 to the nearest integer

Multiple Choice

Estimate the cubed root of 3 to the nearest integer

Multiple Choice

Estimate the square root of 270 to the nearest tenth

16.1

16.2

16.3

16.4

Multiple Choice

Estimate the square root of 52 to the nearest tenth

6.9

7.1

7.2

Multiple Choice

The radius of a circle is square root of 15m inches. Truncate the value of the square root of 15m when

m = 3, to the tenths place.

7.4

1.8

6.7

5.7

Multiple Choice

The formula D= the square root of x²+36 can be used to find the distance D between two points. Truncate the value of the square root of x²+36 when x=6, to the tenths place.

16.2

8.4

13.4

2.2

Fill in the Blanks

Write 0.35 repeating as a fraction

Type answer...

Multiple Choice

Estimate the square root of 152 to the nearest integer

Multiple Select

Name the set(s) the square root of 2 belongs to.

rational

irrational

whole

integer

natural

Fill in the Blanks

What is 12/96 as a decimal?

Type answer...

Poll

How do you feel about irrational and rational numbers?

Great!

Not Great!

So-So

Estimating Irrational Numbers- Part 2

I can estimate irrational numbers by approximating their location on a number line or by truncating their decimal expansions.

Ensure you watch the video in order to learn how to do the examples! This will also help with your Homework.

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