GCF and LCM
Exponents
Scientific Notation
Radicals
Random
100

What is the GCF of 5 and 10?

5

100

What is 2* 23? Make sure to simplify. 

25 = 32

100

What is 456123000 in scientific notation?

4.56123 * 108

100

What is √25 ?

5

100

What is 4√81

3

200

What is the LCM of 10 and 20?

20

200

What is (32)2?

34 = 81

200

Write 3678000000000000 in scientific notation.

3.678 * 1015

200

What is ∛8 ?

2

200

What is  2(22 * 21) / 3(32 * 31)

2(22 * 21) = 2 * 8 = 16

3(32 * 31) = 3 * 27 = 81

 = 16/81

300

What is the LCM of 14 and 15?

210

300

What is 48 / 45?

43 = 64

300

What is (5.1 * 1012) * (6.2 * 1011) in scientific notation?

(5.1 * 1012) * (6.2 * 1011) = 31.62 * 1023

= 3.162 * 1024

300

Write the following in radical form: 57/8

8√57

300

If the mass of a lion is 250 kg and the mass of the sun is about 2 * 1030, how many lions would fit in the sun? Write your answer in scientific notation.

2 * 1030 / 2.5 * 102 = 0.8 * 1028

= 8 * 1027

400

What is the GCF of 234 and 123?

3

400

What is 1001/2?

10

400

What is 3 * 10506 / 9 * 10501 in scientific notation?

1/3 * 105 = about 3.3 x 104

or

105/3

400

Write the following radical in exponential form:

12√515

Remember to simplify

12√515 = 512/15 

= 54/5

400

If you multiplied the GCF of 10 and 20 by 3, how much greater would it be than the LCM of 7 and 14.

The GCF of 10 and 20 is 10. 10 * 3 = 30

The LCM of 7 and 14 is 28.

30 - 28 

=2

500

If you multiplied the GCF of 35 and 49 by 40, would it be greater than the LCM of 21 and 45?

No, the GCF of 35 and 49 is 7. 7 * 40 = 280.

The LCM of 21 and 45 is 315.

315 > 280

500

What is 4(22 * 23) + (34 + 3+ 1001/2)1/2?

4(22 * 23) = 4 * 25 = 4 * 32 = 128

(34 + 3+ 1001/2)1/2 = (81 + 9 + 10)1/2 = 1001/2 

= 10

128 + 10 

= 138

500

Solve this equation and then write it in scientific notation:

[(3.72 * 102) * (2 * 104)] / [(3 * 105) * (2.48 * 10)]

(3.72 * 102) * (2 * 104) = 7.44 * 106

(3 * 105) * (2.48 * 10) = 7.44 * 106

7.44 * 10/ 7.44 * 106 

= 1

500

Solve this exponential equation and put it into radical form:

(53 / 53/4)2

(53 / 53/4)= (59/4)2 = 518/4

518/4 = 4√518 = 54 4√52 = 625√5

500

Solve this radical equation:

(√163 / √46) * (√100 * √25)

(√163 / √46) = √163 / √163 = 1

(√100 * √25) = 10 * 5

= 50