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# Find the number from each of the following expanded forms:

(a) 8×10^{4} + 6×10^{3} + 0×10^{2} + 4×10^{1} + 5×10^{0}

(b) 4×10^{5} + 5×10^{3} + 3×10^{2} + 2×10^{0 } (c) 3×10^{4} + 7×10^{2} + 5×10^{0}

(d) 9×10^{5} + 2×10^{2} + 3×10^{1}

**Solution:**

Expressing a number means we have to expand the given exponent numbers in powers of 10.

(a) 8 × 10^{4} + 6 × 10^{3} + 0 × 10^{2} + 4 × 10^{1} + 5 × 10^{0}

= 8 × 10000 + 6 × 1000 + 0 × 100 + 4 × 10 + 5 × 1

= 80000 + 6000 + 0 + 40 + 5

= 86045

(b) 4 × 10^{5} + 5 × 10^{3} + 3 × 10^{2} + 2 × 10^{0}

= 4 × 100000 + 0 × 10000 + 5 × 1000 + 3 × 100 + 0 × 10 + 2 × 1

= 400000 + 0 + 5000 + 300 + 0 + 2

= 405302

(c) 3 × 10^{4} + 7 × 10^{2} + 5 × 10^{0}

= 3 × 10000 + 0 × 1000 + 7 × 100 + 0 × 10 + 5 × 1

= 30000 + 0 + 700 + 0 + 5

= 30705

(d) 9 × 10^{5} + 2 × 10^{2} + 3 × 10^{1}

= 9 × 100000 + 0 × 10000 + 0 × 1000 + 2 × 100 + 3 × 10 + 0 × 1

= 900000 + 0 + 0 + 200 + 30 + 0

= 900230

**☛ Check: **NCERT Solutions for Class 7 Maths Chapter 13

**Video Solution:**

## Find the number from each of the following expanded forms: (a) 8×10⁴ + 6×10³ + 0×10² + 4×10¹ + 5×10⁰ (b) 4×10⁵ + 5×10³ + 3×10² + 2×10⁰^{ }(c) 3×10⁴ + 7×10² + 5×10⁰ (d) 9×10⁵ + 2×10² + 3×10¹

Maths NCERT Solutions Class 7 Chapter 13 Exercise 13.3 Question 2

**Summary:**

The number from each of the following expanded forms (a) 8×10^{4} + 6×10^{3} + 0×10^{2} + 4×10^{1} + 5×10^{0} (b) 4×10^{5} + 5×10^{3} + 3×10^{2} + 2×10^{0 }(c) 3×10^{4} + 7×10^{2} + 5×10^{0} (d) 9×10^{5} + 2×10^{2} + 3×10^{1} is: (a) 86045, (b) 405302, (c) 30705 , (d) 900230

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