Generalised form of a three-digit number xyz is
(a) x + y + z
(b) 100x + 10y + z
(c) 100z + 10y + x
(d) 100y + 10x + z
Solution:
In a number xyz:
(a) x is in the hundredths place
(b) y is in the tenths place
(c) z is in the units place
Therefore the generalised form of the three digit number is
x × 10² + y × 10¹ + z × 10⁰
= x × 100 + y × 10 + z × 1
= 100x + 10y + z
The Correct option is (b)
✦ Try This: Generalised form of a three-digit number wxyz is (a) w + x + y + z (b) w + 100x + 10y + z (c) 100z + 10y + x + w (d) 1000w + 100x + 10y + z
In a number wxyz:
(a) w is in the thousandths place
(b) x is in the hundredths place
(b) y is in the tenths place
(c) z is in the units place
Therefore the generalised form of the three digit number is
w × 10³ + x × 10² + y × 10¹ + z × 10⁰
= w × 1000 + x × 100 + y × 10 + z × 1
= 1000w +100x + 10y + z
The Correct option is (d)
☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 16
NCERT Exemplar Class 8 Maths Chapter 13 Sample Problem 1
Generalised form of a three-digit number xyz is (a) x + y + z (b) 100x + 10y + z (c) 100z + 10y + x (d) 100y + 10x + z
Summary:
Generalised form of a three-digit number xyz is 100x + 10y + z
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