Rational or Irrational
Approximate
Compare
Scientific Notation
Fractions
100

Is the following number rational or irrational?

sqrt7

Irrational; you can tell because the decimal equivalent (2.645751...) doesn't terminate or repeat.

100

Give a decimal approximation of the following number, to the nearest tenth:

sqrt27

sqrt27~~5.2

100

Which is greater?

pi or sqrt8

pi>sqrt8

100

Write the following in standard form:

2.1xx10^5

210,000

100

Simplify:

24/56

3/7

200

Is the following number rational or irrational?

9/2

Rational, because it's a fraction

200

Give a decimal approximation of the following number, to the nearest tenth:

sqrt63

sqrt63~~7.9

200

Which is greater?

sqrt48 or 7.15

7.15>sqrt48

200

Write the following in standard form:

8.24xx10^-3

0.00824

200

Multiply:

4/9*3/5

4/15

300

Is the following number rational or irrational?

2-pi

Irrational
300

Give a decimal approximation of the following number, to the nearest tenth: 

sqrt10

sqrt10~~3.16

300

Which is greater?

53/6 or sqrt82

sqrt82>53/6

300

Write the following in scientific notation:

7,800,000,000

7.8xx10^9

300

Divide:

5/6div4/3

5/8

400

Is the following number rational or irrational?

-9.26

Rational: it's a terminating decimal, so it can be expressed as a fraction: 

-926/100=-463/50

400

Give a decimal approximation of the following number, to the nearest tenth:

sqrt40+sqrt80

sqrt40+sqrt80~~15.3

400

Which is greater?

5.5 or sqrt30

5.5>sqrt30

400

Write the following in scientific notation:

0.00000317

3.17xx10^-6

400

Add:

2/5+3/7

29/35

500

Is the following number rational or irrational?

7.777777777...

Rational; since it's a repeating decimal, it can be expressed as a fraction: 

7 7/9=70/9

500

Give a decimal approximation of the following number, to the nearest tenth:

pi/3+sqrt50

pi/3+sqrt50~~8.12

500

Put the following in order from least to greatest:

9.4, 19/2, sqrt80

 

sqrt80, 9.4, 19/2

500

Evaluate the following expression. Write your answer in scientific notation:

(3xx10^30)*(4xx10^11)

1.2xx10^42

500

Simplify:

(-2/5)+(-11/6)-(-3/2)

-11/15