If a² ends in 5, then a³ ends in 25. State whether the statement is true or false.

Solution:

Given, if a² ends in 5, then a³ ends in 25.

We have to determine if the given statement is true or false.

Let a = 15

Square of a = a² = (15)²

= 15 × 15

= 225

Cube of a = a³ = (15)³

= 15 × 15 × 15

= 225 × 15

= 3375

We observe that a² ends in 5 and a³ ends in 75

Therefore, the given statement is false.

✦ Try This: If a² ends in 6, then a³ ends in 6. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

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NCERT Exemplar Class 8 Maths Chapter 3 Problem 70

If a² ends in 5, then a³ ends in 25. State whether the statement is true or false

Summary:

The given statement, ”If a² ends in 5, then a³ ends in 25” is false.

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