Page 1 Exercise 7.3 page: 7.14 1. Write each of the following as decimals: (i) Five hundred twenty five and forty hundredths. (ii) Twelve and thirty five thousandths (iii) Fifteen and seventeen thousandths (iv) Eighty eight and forty eight hundredths Solution: (i) Five hundred twenty five and forty hundredths It can be written as 525 + 40/100 = 525.40 (ii) Twelve and thirty five thousandths It can be written as 12 + 35/1000 = 12.035 (iii) Fifteen and seventeen thousandths It can be written as 15 + 17/1000 = 15.017 (iv) Eighty eight and forty eight hundredths It can be written as 88 + 48/100 = 88.48 2. Write each of the following as decimals: (i) 137 + 5/100 (ii) 20 + 9 + 4/100 Solution: (i) 137 + 5/100 We know that 1 hundred, 3 tens, 7 ones and 5 hundredths Hence, the decimal is 137.05. (ii) 20 + 9 + 4/100 We know that 2 tens, 9 ones and 4 hundredths Hence, the decimal is 29.04. 3. Write each of the following as decimals: (i) 8/100 (ii) 300/1000 (iii) 18/1000 (iv) 208/100 (v) 888/1000 Solution: (i) 8/100 We know that 8/100 = 0.08 Page 2 Exercise 7.3 page: 7.14 1. Write each of the following as decimals: (i) Five hundred twenty five and forty hundredths. (ii) Twelve and thirty five thousandths (iii) Fifteen and seventeen thousandths (iv) Eighty eight and forty eight hundredths Solution: (i) Five hundred twenty five and forty hundredths It can be written as 525 + 40/100 = 525.40 (ii) Twelve and thirty five thousandths It can be written as 12 + 35/1000 = 12.035 (iii) Fifteen and seventeen thousandths It can be written as 15 + 17/1000 = 15.017 (iv) Eighty eight and forty eight hundredths It can be written as 88 + 48/100 = 88.48 2. Write each of the following as decimals: (i) 137 + 5/100 (ii) 20 + 9 + 4/100 Solution: (i) 137 + 5/100 We know that 1 hundred, 3 tens, 7 ones and 5 hundredths Hence, the decimal is 137.05. (ii) 20 + 9 + 4/100 We know that 2 tens, 9 ones and 4 hundredths Hence, the decimal is 29.04. 3. Write each of the following as decimals: (i) 8/100 (ii) 300/1000 (iii) 18/1000 (iv) 208/100 (v) 888/1000 Solution: (i) 8/100 We know that 8/100 = 0.08 Hence, the decimal is 0.08. (ii) 300/1000 We know that 300/1000 = 3/10 So 3 tenths Hence, the decimal is 0.3. (iii) 18/1000 We know that 18/1000 = 0.018 Hence, the decimal is 0.018. (iv) 208/100 We know that 208/100 = 200/100 + 8/100 So 2 and 8 hundredths Hence, the decimal is 2.08. (v) 888/1000 We know that 888/1000 = 800/1000 + 80/1000 + 8/1000 We get = 8/10 + 8/100 + 8/1000 So 8 tenths, 8 hundredths and 8 thousandths Hence, the decimal is 0.888. 4. Write each of the following as decimals: (i) 12 1/4 (ii) 7 1/8 (iii) 5 1/20 Solution: (i) 12 1/4 It can be written as = 12 + 1/4 In order to make denominator 100 Multiply and divide by 25 We get = 12 + [(1/4) × (25/25)] On further calculation = 12 + 25/100 So we get = 12.25 (ii) 7 1/8 It can be written as = 7 + 1/8 In order to make denominator 1000 Multiply and divide by 125 We get = 7 + [(1/8) × (125/125)] On further calculation = 7 + 125/1000 Page 3 Exercise 7.3 page: 7.14 1. Write each of the following as decimals: (i) Five hundred twenty five and forty hundredths. (ii) Twelve and thirty five thousandths (iii) Fifteen and seventeen thousandths (iv) Eighty eight and forty eight hundredths Solution: (i) Five hundred twenty five and forty hundredths It can be written as 525 + 40/100 = 525.40 (ii) Twelve and thirty five thousandths It can be written as 12 + 35/1000 = 12.035 (iii) Fifteen and seventeen thousandths It can be written as 15 + 17/1000 = 15.017 (iv) Eighty eight and forty eight hundredths It can be written as 88 + 48/100 = 88.48 2. Write each of the following as decimals: (i) 137 + 5/100 (ii) 20 + 9 + 4/100 Solution: (i) 137 + 5/100 We know that 1 hundred, 3 tens, 7 ones and 5 hundredths Hence, the decimal is 137.05. (ii) 20 + 9 + 4/100 We know that 2 tens, 9 ones and 4 hundredths Hence, the decimal is 29.04. 3. Write each of the following as decimals: (i) 8/100 (ii) 300/1000 (iii) 18/1000 (iv) 208/100 (v) 888/1000 Solution: (i) 8/100 We know that 8/100 = 0.08 Hence, the decimal is 0.08. (ii) 300/1000 We know that 300/1000 = 3/10 So 3 tenths Hence, the decimal is 0.3. (iii) 18/1000 We know that 18/1000 = 0.018 Hence, the decimal is 0.018. (iv) 208/100 We know that 208/100 = 200/100 + 8/100 So 2 and 8 hundredths Hence, the decimal is 2.08. (v) 888/1000 We know that 888/1000 = 800/1000 + 80/1000 + 8/1000 We get = 8/10 + 8/100 + 8/1000 So 8 tenths, 8 hundredths and 8 thousandths Hence, the decimal is 0.888. 4. Write each of the following as decimals: (i) 12 1/4 (ii) 7 1/8 (iii) 5 1/20 Solution: (i) 12 1/4 It can be written as = 12 + 1/4 In order to make denominator 100 Multiply and divide by 25 We get = 12 + [(1/4) × (25/25)] On further calculation = 12 + 25/100 So we get = 12.25 (ii) 7 1/8 It can be written as = 7 + 1/8 In order to make denominator 1000 Multiply and divide by 125 We get = 7 + [(1/8) × (125/125)] On further calculation = 7 + 125/1000 So we get = 7.125 (iii) 5 1/20 It can be written as = 5 + 1/20 In order to make denominator 100 Multiply and divide by 5 We get = 5 + [(1/20) × (5/5)] On further calculation = 5 + 5/100 So we get = 5.05 5. Write each of the following decimals as fractions. Reduce the fractions to lowest form: (i) 0.04 (ii) 2.34 (iii) 0.342 (iv) 1.20 (v) 17.38 Solution: (i) 0.04 It can be written as = 0 + 0.04 We get = 0 + 4 hundredths On further calculation = 0 + 4/100 So we get = 1/25 (ii) 2.34 It can be written as = 2 + 0.34 We get = 2 + 34 hundredths On further calculation = 2 + 34/100 So we get = 2 × (100/100) + 34/100 By further simplification = 200/100 + 34/100 By addition = 234/100 By division = 117/50 (iii) 0.342 Page 4 Exercise 7.3 page: 7.14 1. Write each of the following as decimals: (i) Five hundred twenty five and forty hundredths. (ii) Twelve and thirty five thousandths (iii) Fifteen and seventeen thousandths (iv) Eighty eight and forty eight hundredths Solution: (i) Five hundred twenty five and forty hundredths It can be written as 525 + 40/100 = 525.40 (ii) Twelve and thirty five thousandths It can be written as 12 + 35/1000 = 12.035 (iii) Fifteen and seventeen thousandths It can be written as 15 + 17/1000 = 15.017 (iv) Eighty eight and forty eight hundredths It can be written as 88 + 48/100 = 88.48 2. Write each of the following as decimals: (i) 137 + 5/100 (ii) 20 + 9 + 4/100 Solution: (i) 137 + 5/100 We know that 1 hundred, 3 tens, 7 ones and 5 hundredths Hence, the decimal is 137.05. (ii) 20 + 9 + 4/100 We know that 2 tens, 9 ones and 4 hundredths Hence, the decimal is 29.04. 3. Write each of the following as decimals: (i) 8/100 (ii) 300/1000 (iii) 18/1000 (iv) 208/100 (v) 888/1000 Solution: (i) 8/100 We know that 8/100 = 0.08 Hence, the decimal is 0.08. (ii) 300/1000 We know that 300/1000 = 3/10 So 3 tenths Hence, the decimal is 0.3. (iii) 18/1000 We know that 18/1000 = 0.018 Hence, the decimal is 0.018. (iv) 208/100 We know that 208/100 = 200/100 + 8/100 So 2 and 8 hundredths Hence, the decimal is 2.08. (v) 888/1000 We know that 888/1000 = 800/1000 + 80/1000 + 8/1000 We get = 8/10 + 8/100 + 8/1000 So 8 tenths, 8 hundredths and 8 thousandths Hence, the decimal is 0.888. 4. Write each of the following as decimals: (i) 12 1/4 (ii) 7 1/8 (iii) 5 1/20 Solution: (i) 12 1/4 It can be written as = 12 + 1/4 In order to make denominator 100 Multiply and divide by 25 We get = 12 + [(1/4) × (25/25)] On further calculation = 12 + 25/100 So we get = 12.25 (ii) 7 1/8 It can be written as = 7 + 1/8 In order to make denominator 1000 Multiply and divide by 125 We get = 7 + [(1/8) × (125/125)] On further calculation = 7 + 125/1000 So we get = 7.125 (iii) 5 1/20 It can be written as = 5 + 1/20 In order to make denominator 100 Multiply and divide by 5 We get = 5 + [(1/20) × (5/5)] On further calculation = 5 + 5/100 So we get = 5.05 5. Write each of the following decimals as fractions. Reduce the fractions to lowest form: (i) 0.04 (ii) 2.34 (iii) 0.342 (iv) 1.20 (v) 17.38 Solution: (i) 0.04 It can be written as = 0 + 0.04 We get = 0 + 4 hundredths On further calculation = 0 + 4/100 So we get = 1/25 (ii) 2.34 It can be written as = 2 + 0.34 We get = 2 + 34 hundredths On further calculation = 2 + 34/100 So we get = 2 × (100/100) + 34/100 By further simplification = 200/100 + 34/100 By addition = 234/100 By division = 117/50 (iii) 0.342 It can be written as = 0 + 0.342 We get = 0 + 342 thousandths On further calculation = 342/1000 So we get = 171/500 (iv) 1.20 It can be written as = 1 + 0.20 We get = 1 + 20 hundredths On further calculation = 100/100 + 20/100 So we get = 120/100 By division = 6/5 (v) 17.38 It can be written as = 17 + 0.38 We get = 17 + 38 hundredths On further calculation = 17 + 38/100 So we get = 17 × (100/100) + 38/100 By further simplification = 1700/100 + 38/100 By addition = 1738/100 By division = 869/50 6. Write each of the following as decimals: (i) 20 + 9 + 40/10 + 1/100 (ii) 30 + 4/10 + 8/100 + 3/1000 (iii) 137 + 5/100 (iv) 7/10 + 6/100 + 4/1000 (v) 23 + 2/10 + 6/1000 (vi) 700 + 20 + 5 + 9/100 Solution: (i) 20 + 9 + 40/10 + 1/100 We know that 2 tens, 9 ones, 4 tenths and 1 hundredths Hence, the decimal is 29.41. Page 5 Exercise 7.3 page: 7.14 1. Write each of the following as decimals: (i) Five hundred twenty five and forty hundredths. (ii) Twelve and thirty five thousandths (iii) Fifteen and seventeen thousandths (iv) Eighty eight and forty eight hundredths Solution: (i) Five hundred twenty five and forty hundredths It can be written as 525 + 40/100 = 525.40 (ii) Twelve and thirty five thousandths It can be written as 12 + 35/1000 = 12.035 (iii) Fifteen and seventeen thousandths It can be written as 15 + 17/1000 = 15.017 (iv) Eighty eight and forty eight hundredths It can be written as 88 + 48/100 = 88.48 2. Write each of the following as decimals: (i) 137 + 5/100 (ii) 20 + 9 + 4/100 Solution: (i) 137 + 5/100 We know that 1 hundred, 3 tens, 7 ones and 5 hundredths Hence, the decimal is 137.05. (ii) 20 + 9 + 4/100 We know that 2 tens, 9 ones and 4 hundredths Hence, the decimal is 29.04. 3. Write each of the following as decimals: (i) 8/100 (ii) 300/1000 (iii) 18/1000 (iv) 208/100 (v) 888/1000 Solution: (i) 8/100 We know that 8/100 = 0.08 Hence, the decimal is 0.08. (ii) 300/1000 We know that 300/1000 = 3/10 So 3 tenths Hence, the decimal is 0.3. (iii) 18/1000 We know that 18/1000 = 0.018 Hence, the decimal is 0.018. (iv) 208/100 We know that 208/100 = 200/100 + 8/100 So 2 and 8 hundredths Hence, the decimal is 2.08. (v) 888/1000 We know that 888/1000 = 800/1000 + 80/1000 + 8/1000 We get = 8/10 + 8/100 + 8/1000 So 8 tenths, 8 hundredths and 8 thousandths Hence, the decimal is 0.888. 4. Write each of the following as decimals: (i) 12 1/4 (ii) 7 1/8 (iii) 5 1/20 Solution: (i) 12 1/4 It can be written as = 12 + 1/4 In order to make denominator 100 Multiply and divide by 25 We get = 12 + [(1/4) × (25/25)] On further calculation = 12 + 25/100 So we get = 12.25 (ii) 7 1/8 It can be written as = 7 + 1/8 In order to make denominator 1000 Multiply and divide by 125 We get = 7 + [(1/8) × (125/125)] On further calculation = 7 + 125/1000 So we get = 7.125 (iii) 5 1/20 It can be written as = 5 + 1/20 In order to make denominator 100 Multiply and divide by 5 We get = 5 + [(1/20) × (5/5)] On further calculation = 5 + 5/100 So we get = 5.05 5. Write each of the following decimals as fractions. Reduce the fractions to lowest form: (i) 0.04 (ii) 2.34 (iii) 0.342 (iv) 1.20 (v) 17.38 Solution: (i) 0.04 It can be written as = 0 + 0.04 We get = 0 + 4 hundredths On further calculation = 0 + 4/100 So we get = 1/25 (ii) 2.34 It can be written as = 2 + 0.34 We get = 2 + 34 hundredths On further calculation = 2 + 34/100 So we get = 2 × (100/100) + 34/100 By further simplification = 200/100 + 34/100 By addition = 234/100 By division = 117/50 (iii) 0.342 It can be written as = 0 + 0.342 We get = 0 + 342 thousandths On further calculation = 342/1000 So we get = 171/500 (iv) 1.20 It can be written as = 1 + 0.20 We get = 1 + 20 hundredths On further calculation = 100/100 + 20/100 So we get = 120/100 By division = 6/5 (v) 17.38 It can be written as = 17 + 0.38 We get = 17 + 38 hundredths On further calculation = 17 + 38/100 So we get = 17 × (100/100) + 38/100 By further simplification = 1700/100 + 38/100 By addition = 1738/100 By division = 869/50 6. Write each of the following as decimals: (i) 20 + 9 + 40/10 + 1/100 (ii) 30 + 4/10 + 8/100 + 3/1000 (iii) 137 + 5/100 (iv) 7/10 + 6/100 + 4/1000 (v) 23 + 2/10 + 6/1000 (vi) 700 + 20 + 5 + 9/100 Solution: (i) 20 + 9 + 40/10 + 1/100 We know that 2 tens, 9 ones, 4 tenths and 1 hundredths Hence, the decimal is 29.41. (ii) 30 + 4/10 + 8/100 + 3/1000 We know that 3 tens, 4 tenths, 8 hundredths and 3 thousandths Hence, the decimal is 30.483. (iii) 137 + 5/100 We know that 1 hundred, 3 tens, 7 ones and 5 hundredths Hence, the decimal is 137.05. (iv) 7/10 + 6/100 + 4/1000 We know that 7 tenths, 6 hundredths and 4 thousandths Hence, the decimal is 0.764. (v) 23 + 2/10 + 6/1000 We know that 2 tens, 3 ones, 2 tenths and 6 thousandths Hence, the decimal is 23.206. (vi) 700 + 20 + 5 + 9/100 We know that 7 hundreds, 2 tens, 5 ones and 9 hundredths Hence, the decimal is 725.09.Read More

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