# 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

**☛ Related Questions:**

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