Estimating Irrational Numbers- Part 1

Estimating Irrational Numbers- Part 1

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

Ensure that you are watching the video before moving on.

Steps to estimate

First- Find the perfect square roots that is number you are looking for is between.

Second- See which root the number is closest to.

Last- Estimate which root the number is.

Example

Estimate the square root of 15

First- The square root of 15 is between. The square roots will be 9 and 16.

Second- Which number is the square root closest to. The square root is closer to 16

Third- Find the perfect square. The square root is 16 is 4 , so the square root is 15 is approximately 4.

Multiple Choice

Estimate the square root of 26

• 2

• 6

• 4

• 5

Multiple Choice

Estimate the square root of 52

• 5

• 6

• 7

• 8

Multiple Choice

Estimate the square root of 158

• 13

• 14

• 15

• 16

Multiple Select

What number set(s) does 15 belong to?

• Rational

• Irrational

• Integer

• Whole

• Natural

Multiple Choice

What is 1/3 as a decimal?

• 0.1 repeating

• 0.3 repeating

• 0.3

• 1.3