Key Skills -- Application of Numbers



$Exercise2 (Conversion of percentages to fractions and conversion of percentages to decimal numbers)$







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This is a supporting activity to reinforce learning.

Powers ( Indices ) and Roots

Method

5² is shorthand for 5 × 5
5³ is shorthand for 5 × 5 × 5
5⁴ is shorthand for 5 × 5 × 5 × 5

The usual way of describing expressions like this is : "5 to the power 3", "5 to the power 4", and so on... The first two in the list have special 'names' which could be used as well :

5²	five to the power two	or five squared
5³	five to the power three	or five cubed

Note : 5¹ = 5

Examples

Square Numbers (Squares, for short)

The following are square numbers:

9	because 9 = 3 × 3	therefore 3² (three squared) = 9
16	because 16 = 4 × 4	therefore 4² (four squared) = 16
25	because 25 = 5 × 5	therefore 5² (five squared) = 25
144	because 144 = 12 × 12	therefore 12² (twelve squared) = 144

To illustrate the use of the name square:

A square with sides of length 4 cm, will have an area of :

4 × 4 = 16 cm² (16 square centimeters)

Quiz / Exercises

Powers ( Indices ) and Roots

Note : 5¹ = 5

Square Numbers (Squares, for short)

4 × 4 = 16 cm² (16 square centimeters)

What is the square of the following numbers?

Please type your answers into the corresponding spaces below.

Powers ( Indices ) and Roots

Note : 51 = 5

Square Numbers (Squares, for short)

4 × 4 = 16 cm2 (16 square centimeters)

What is the square of the following numbers?

Please type your answers into the corresponding spaces below.

Note : 5¹ = 5

4 × 4 = 16 cm² (16 square centimeters)