If a² ends in 9, then a³ ends in 7. State whether the statement is true or false.

Solution:

Given, if a² ends in 9, then a³ ends in 7.

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

Let a = 7

Square of a = a² = (7)²

= 7 × 7

= 49

Cube of a = a³ = (7)³

= 7 × 7 × 7

= 49 × 7

= 343

We observe that a² ends in 9 and a³ ends in 3

Therefore, the given statement is false.

✦ Try This: If a² ends in 5, then a³ ends in 15. State whether the statement is true or false.

☛ Also Check: NCERT Solutions for Class 8 Maths

---

NCERT Exemplar Class 8 Maths Chapter 3 Problem 71

If a² ends in 9, then a³ ends in 7. State whether the statement is true or false

Summary:

The given statement, ”If a² ends in 9, then a³ ends in 7” is false.

---

☛ Related Questions:

• The square root of a perfect square of n digits will have (n+1)/2 digits, if n is odd. State whether . . . .
• Square root of a number x is denoted by √x . State whether the statement is true or false
• A number having 7 at its one’s place will have 3 at the unit’s place of its square. State whether th . . . .