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in Number System by (37.8k points)
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Write the following decimal numbers in expanded form. 

(i) 55.5 

(ii) 5.55 

(iii) 303.03 

(iv) 30.303 

(v) 1234.56

1 Answer

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Best answer

(i) 55.5 = 10 × 5 + 1 × 5 × \(\frac 1{10}\) × 5 = 50 + 5 + \(\frac 5{10}\)

(ii) 5.55  = 1 × 5 + \(\frac 1{10}\) × 5 + \(\frac 1{100}\) × 5 = 5 + \(\frac 5{10}\) + \(\frac 5{100}\)

(iii) 303.03  = 100 × 3 + 1 × 3 + \(\frac 1{100}\) × 3 = 300 + 3 + \(\frac 3{100}\)

(iv) 30.303 = 10 × 3 + \(\frac 1{10}\) x 3 + \(\frac 1{1000}\) x 3 = 30 + \(\frac 3{10}\) + \(\frac 3{1000}\)

(v) 1234.56 = 1000 × 1 + 100 × 2 + 10 × 3 + 1 × 4 + \(\frac 1{10}\) × 5 + \(\frac 1{100}\) × 6 = 1000 + 200 + 30 + 4 + \(\frac 5{10}\) + \(\frac 6{100}\)

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