A perfect square can have 8 as its unit’s digit. State whether the statement is true or false.
Solution:
Given, a perfect square can have 8 as its unit’s digit.
We have to determine if the given statement is true or false.
Number obtained when a number is multiplied by itself three times is called a cube number.
If m = n², then m is a perfect square where m and n are natural numbers.
The unit digit of a perfect square can be only 0, 1, 4, 5, 6 or 9.
The square of a number having:
1 or 9 at the unit’s place ends in1.
2 or 8 at the unit’s place ends in 4.
3 or 7 at the unit’s place ends in 9.
4 or 6 at the unit’s place ends in 6.
5 at the unit’s place ends in 5.
Therefore, 8 cannot be the unit’s digit of a perfect square.
✦ Try This: A perfect square can have 0 as its unit’s digit. State whether the statement is true or false.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 64
A perfect square can have 8 as its unit’s digit. State whether the statement is true or false
Summary:
The given statement, ”A perfect square can have 8 as its unit’s digit” is false
☛ Related Questions:
- Cube of a number ending in 7 will end in the digit _______________. Fill in the blanks to make the s . . . .
- The square of 86 will have 6 at the unit’s place. State whether the statement is true or false
- The sum of two perfect squares is a perfect square. State whether the statement is true or false
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