Powers/fractions

Question 0

4 to the power of 3

Answer 0

4x4x4=16x4=64

Question 1

Define a power:

Answer 1

A power of a number means multiplying another number by itself a certain number of times.
Ex:3 to the power of 3 means doing 3x3x3=9x3=27

Question 2

5 to the power of 2

Answer 2

5x5=25

Question 3

What is another word for “to the power of 2”?

Answer 3

Instead of saying “4 to the power of 2” ,you could say “4 squared”.

Question 4

6 to the power of 3

Answer 4

6x6x6=36x6=216

Question 5

What is another word for saying “to the power of 3”?

Answer 5

Instead of saying “3 to the power of 3”, you could say “3 cubed”

Question 6

Define a fraction:

Answer 6

A fraction is a division where the dividend is moved to the left of a slash and the diviser is moved to the right of the same slash.
Ex:16:4=16/4

Question 7

What is the dividend renamed to when a division is changed to a fraction?

Answer 7

The dividend is renamed “numerator”.

Question 8

What is the diviser renamed to when a division is changed into a fraction?

Answer 8

The diviser is renamed “denominator”.

Question 9

What is the fraction equivalent of 24:8?

Answer 9

24/8

Question 10

a) What is the fraction equivalent of 15:3?
b) What is the quotient of 15:3?
c) What is the fraction equivalent of 15:3 resolve to?

Answer 10

a) 15/3
b) 5
c) 5

Question 11

a) What is the quotient of 21:3? Of 42:6? What is in common with the two divisions?
b) What is the fraction equivalent of 21:3 and 42:6?
c) What happens when you divide both the dividend and the diviser of 42:6 by 2?
d) What can you gather from this?

Answer 11

a) 21:3=7 and 42:6=7. Both divisions have the same quotient.
b) 21:3=21/3 and 42:6=42/6.
c) You get a division of 21:3.

d)Both fractions have the same result and one can be divided into the other, so both fractions are equal. This is known as simplification. Simplification of fractions can sometimes be very helpful.
Ex:336/8       Hard
     168/4       Medium
      84/2        Easy
      42/1=42