Difference of The Squares

The difference of the squares of two consecutive numbers is equal to the sum of two numbers: As:

(i) 3 x 3 – 2 x 2 = 3 + 2 = 5

(ii) 9 x 9 – 8 x 8 = 9 + 8 = 17

(iii) 25 x 25 – 24 x 24 = 25 + 24 = 49

(iv) 217 x 217 – 216 x 216 = 217 + 216 = 433


You may write the difference of the squares of two given consecutive numbers:

(i) 76 x 76 – 75 x 75 = _______ .

(ii) 115 x 115 – 114 x 114 = _______ .

(iii) 137 x 137 – 136 x 136 = _______ .

(iv) 376 x 376 – 375 x 375 = _______ .

(v) 695 x 695 - 694 x 694 = _______ .

Check the answers:

(i) 76 x 76 – 75 x 75

= 76 + 75

= 151.

Answer: 151

(ii) 115 x 115 – 114 x 114

= 115 + 114

= 229.

Answer: 229


(iii) 137 x 137 – 136 x 136

= 137 + 136

= 273.

Answer: 273


(iv) 376 x 376 – 375 x 375

= 376 + 375

= 751.

Answer: 751


(v) 695 x 695 - 694 x 694

= 695 + 694

= 1389.

Answer: 1389

Related Concept

Patterns and Mental Mathematics

Counting Numbers in Proper Pattern

Odd Numbers Patterns

Three Consecutive Numbers

Number Formed by Any Power

Product of The Number

Magic Square

Square of a Number

Difference of The Squares

Multiplied by Itself

Puzzle

Patterns

Systems of Numeration


4th Grade Math Activities

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