Reasoning with Rational Numbers

Square and Cube Roots

100

The square root of 81.

9

200

The approximate square root of 67

8

300

13²

169

400

8³

512

500

(³√216)²

36

The Real Number System

100

Is 54320 Rational or Irrational?

Rational

200

Is 5.254326. . . Rational or Irrational?

Irrational

300

Is zero a Natural Number?

No

400

What are some ways you can determine whether a number is rational or not? (You can just say one).

- Try to write it as a fraction.

- See if the number Terminates or repeats.

- See if the square root of the number simplifies to an integer.

500

Is Infinity a rational or irrational number?

Neither

Operations

100

5/8 - 3/8

1/4

200

1/2+3/4

1 1/4

300

(6²*6)/6³

1

400

[(3*4)-4]/2

4

500

2(2+3²)-(8+2²)

10

Covert Decimals to Fractions

100

0.5

1/2

200

3.125

3 1/8

300

0.44444 . . .

4/9

400

0.28

7/25

500

0.27482047...

Cannot be written as a fraction