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India
Class VIII

Squares and Cubes

Lesson

Square Numbers

We discussed what square numbers are in What's So Special? Remember these are numbers that are multiplied by themselves.

We can square any number.

Examples

$12^2=12\times12$122=12×12 $=$= $144$144

$100^2=100\times100$1002=100×100 $=$= $10000$10000

 

Cube numbers

Cube numbers are numbers that are multiplied by themselves two more times. (that number three times in total)

Examples

$2^3=2\times2\times2$23=2×2×2 $=$= $8$8

$5^3=5\times5\times5$53=5×5×5 $=$= $125$125

Worked Examples

Question 1

Evaluate $8^2+7$82+7

 

 
Question 2

Evaluate $12^2-9^2$12292

 

 

Question 3

Evaluate $5^3+3^2$53+32

 

 

 

 

 

Outcomes

8.NS.SSCC.1

Square and Square roots

8.NS.SSCC.3

Cubes and cubes roots (only factor method for numbers containing at most 3 digits)

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