IA 4 review

Rational vs Irrational

100

3/4

0.75

Rational

200

sqrt29

5.3851...

Irrational

300

Which numbers below are not rational:

0.9,   1.232134..., 

pi

1/3

sqrt25

1.232134...,

pi

400

What type of decimals are rational numbers?

Terminating decimals

Repeating decimals

True or False

100

TRUE or FALSE:

If you are taking the square root of a number it will always be rational

FALSE:

Perfect squares are rational, but not all numbers are perfect squares

200

TRUE or FALSE: The solution to the problem below is rational

pi times pi

FALSE:

9.8696044...

300

TRUE or FALSE: The solution to the problem below is rational.

pi/pi

TRUE:

1

400

TRUE or FALSE:

The number 0.3334....is rational because the 3 is repeating.

False:

If there is not a repeat bar, we can't assume it is repeating.

Between what two integers

100

sqrt90

Between 9 (81) and 10 (100)

200

sqrt38

Between 6 (36) and 7 (49)

300

sqrt15 

Between 3 (9) and 4 (16)

400

sqrt70

Between 8 (64) and 9 (81)

Operations

100

sqrt36 times sqrt25

6 x 5

30

200

Will the solution be rational or irrational?

pi times sqrt4

irrational (because of pi)

300

Estimate the solution

sqrt18 times pi

About 15

400

Give an example where the solution of two irrational numbers is rational

any irrational number divided by itself.