PAGE NO 12.2:
Question 1:
Write each of the following as percent:
(i) 7/25
(ii) 14/625
(iii) 5858
(iv) 0.8
(v) 0.005
(vi) 3 : 25
(vii) 11 : 80
(viii) 111 : 125
(ix) 13 : 75
(x) 15 : 16
(xi) 0.18
(xii) 7/125
ANSWER:
(i) 7/25 = 7/25 × 100
= 700/25 = 28%
(ii) 14/625 =
= 1400/625
= 2.24%
(iii) 5/8 = 0.625 × 100
= 62.5%
(iv) 0.8 = 8/10 × 100
= 80%
(v) 0.005 = 0.005 × 100
= 0.5%
(vi) 3:25 = 3/25 × 100
= 300/25
= 12%
(vii) 11:80 = 11/80 × 100
= 1100/80
= 13.75%
(viii) 111:125 = 111/125
= 0.888 × 100
= 88.8%
(ix) 13:75 = 13/75
= 0.1733 × 100
= 17.33%
(x) 15:16 = 1516 = 0.9375 × 100
= 93.75%
(xi) 0.18 = 18/100
= 18/100 × 100
= 18%
(xii) 7/125 = 0.056
= 0.056 × 100
= 5.6%
PAGE NO 12.2:
Question 2:
Convert the following percentages to fractions and ratios:
(i) 25%
(ii) 2.5%
(iii) 0.25%
(iv) 0.3%
(v) 125%
ANSWER:
(i) 25% = 25/100
= 5/20
= 1/4
∴ Ratio = 1:4
(ii) 2.5% = 2.5/100
= 25/1000 = 5/200
= 1/40
∴ Ratio = 1:40
(iii) 0.25% = 0.25/100
= 25/10000 = 5/2000
= 1/400
∴ Ratio = 1:400
(iv) 0.3% = 0.3/100
= 3/1000
∴ Ratio = 3:1000
(v) 125% = 125/100
= 5/4
∴ Ratio = 5:4
PAGE NO 12.2:
Question 3:
Express the following as decimal fractions:
(i) 27%
(ii) 6.3%
(iii) 32%
(iv) 0.25%
(v) 7.5%
(vi) 18%
ANSWER:
(i) 27% = 27/100
= 0.27
(ii) 6.3% = 6.3/100
= 0.063
(iii) 32% = 32/100
= 0.32
(iv) 0.25% = 0.25/100
= 0.0025
(v) 7.5% = 7.5/100
= 0.075
(vi) 18% = 1/8 × 1/100
= 1/800
= 0.00125
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