Factors, Fractions and Exponents

Divisibility & Factors

100

What number am I? My divisibility rule is that the last digit needs to be an even number or 0. 

The number 2

200

What is the divisibility rule for the number 4?

The last two digits need to be divisible by 4.

300

List 3 numbers between 2- 10 that 57,870

Answers may vary: 2,3,5,6,9 or 10

400

Which of the following numbers are not divisible by 6? 

144, 540, 796 or 1,092

796

500

What is the divisibility rule for the number 8?

The last 3 digits are divisible by 8.

Exponent Operations

100

Evaluate : 3⁴

81

200

Evaluate: cd²  for c=3 and d=-1

3

300

Evaluate: ( x + y )³ - 18 for x = -2 and y = 5

9

400

Evaluate: 96 / 8 + (2³ + 4²) - 32

4

500

-2(3³) + 8² - 10 + (5² + 7²)

74

Prime Factorization & GCF

100

What is the prime factorization of 98? 

2 x 7²

200

What is the prime factorization of 234?

2 x 3² x 13

300

What is the GCF of the following two numbers : 18 and 35

1

400

What is the GCF of the following: 4x²y³ and 6xy²

2xy

500

What is the GCF of the following: 12a³bc²  and 38ab³c²

2abc²

Exponents with Multiplication & Division

100

Simplify: h³/h⁸

1/h⁵

200

Simplify: 23⁷ x 23⁸

23¹⁵

300

Simplify: (x²y³z)⁶

x¹²y¹⁸z⁶

400

234,567⁰

1

500

55a⁵b³c / 11a²b³c⁴

5a³ / c³

Scientific Notation

100

If the exponent is positive, move the decimal point to the _______________.

Right

200

If the exponent is negative, move the decimal point to the _______________.

Left

300

Write the following in Standard Notation: 

3.405 x 10^-4

0.0003405

400

Write the following in Scientific Notation: 845,000,000,000

8.45 x 10¹¹

500

Simplify the following: 

(4.2 x 10^-7) (2.4 x 10⁵)

10.08 x 10 ^-2  --> 0.1008