Simplify: (i) 2 × 10³ (ii) 7² × 2² (iii) 2³ × 5 (iv) 3 × 4⁴ (v) 0 × 10² (vi) 5² × 3³ (vii) 2⁴ × 3² (viii) 3² × 10⁴

Solution:

A larger number can be written using an exponential notation in which there is a base and a smaller raised number called its power or exponent.

Exponent represents how many times the base will be multiplied by itself.

(i) 2 × 10³ = 2 × (10 × 10 × 10) = 2 × 1000 = 2000

(ii) 7² × 2² = (7 × 7) × (2 × 2) = 49 × 4 = 196

(iii) 2³ × 5 = (2 × 2 × 2) × 5 = 8 × 5 = 40

(iv) 3 × 4⁴ = 3 × (4 × 4 × 4 × 4) = 3 × 256 = 768

(v) 0 × 10² = 0 × 10 × 10 = 0

(vi) 5² × 3³ = (5 × 5) × (3 × 3 × 3) = 25 × 27 = 675

(vii) 2⁴ × 3² = (2 × 2 × 2 × 2) × (3 × 3) = 16 × 9 = 144

(viii) 3² × 10⁴ = (3 × 3) × (10 × 10 × 10 × 10) = 9 × 10000 = 90000

☛ Check: NCERT Solutions Class 7 Maths Chapter 13

Video Solution:

Simplify: (i) 2 × 10³ (ii) 7² × 2² (iii) 2³ × 5 (iv) 3 × 4⁴ (v) 0 × 10² (vi) 5² × 3³ (vii) 2⁴ × 3² (viii) 3² ×10⁴

Maths NCERT Solutions Class 7 Chapter 13 Exercise 13.1 Question 6

Summary:

The values calculated on simplifying the expressions are: (i) 2 × 10³ = 2000 , (ii) 7² × 2²= 196, (iii) 2³ × 5 = 40 , (iv) 3 × 4⁴ = 768 , (v) 0 × 10² = 0 , (vi) 5² × 3³ = 675, (vii) 2⁴ × 3² = 144, (viii) 3² ×10⁴ = 90000

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