Question

simplify 204.93 + 38.75 - 117.2​

Answer 1

Answer:

360.88

Step-by-step explanation:

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Answer 2

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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

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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