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Divide: (i) 43.2 by 6 (ii) 60.48 by 12 ...

Divide:
(i) 43.2 by 6
(ii) 60.48 by 12
(iii) 117.6 by 21
(iv) 217.44 by 18
(v) 2.575 by 25
(vi) 6.08 by 8
(vii) 0.765 by 9
(viii) 0.768 by 16
(ix) 0.175 by 25
(x) 0.3322 by 11
(xi) 2.13 by 15
(xii) 6.54 by 12
(xiii) 5.52 by 16
(xiv) 1.001 by 14
(xv) 0.477 by 18

Text Solution

AI Generated Solution

The correct Answer is:
Let's solve each part of the question step by step. ### (i) Divide 43.2 by 6 1. **Remove the decimal**: Multiply both the numerator and the denominator by 10 to remove the decimal. \[ \frac{43.2 \times 10}{6 \times 10} = \frac{432}{60} \] 2. **Divide 432 by 6**: \[ 432 \div 6 = 72 \] 3. **Adjust for the decimal**: Since we multiplied by 10, we need to divide the result by 10. \[ \frac{72}{10} = 7.2 \] **Answer**: 7.2 ### (ii) Divide 60.48 by 12 1. **Remove the decimal**: Multiply both the numerator and the denominator by 100. \[ \frac{60.48 \times 100}{12 \times 100} = \frac{6048}{1200} \] 2. **Divide 6048 by 12**: \[ 6048 \div 12 = 504 \] 3. **Adjust for the decimal**: Since we multiplied by 100, we need to divide the result by 100. \[ \frac{504}{100} = 5.04 \] **Answer**: 5.04 ### (iii) Divide 117.6 by 21 1. **Remove the decimal**: Multiply both the numerator and the denominator by 10. \[ \frac{117.6 \times 10}{21 \times 10} = \frac{1176}{210} \] 2. **Divide 1176 by 21**: \[ 1176 \div 21 = 56 \] 3. **Adjust for the decimal**: Since we multiplied by 10, we need to divide the result by 10. \[ \frac{56}{10} = 5.6 \] **Answer**: 5.6 ### (iv) Divide 217.44 by 18 1. **Remove the decimal**: Multiply both the numerator and the denominator by 100. \[ \frac{217.44 \times 100}{18 \times 100} = \frac{21744}{1800} \] 2. **Divide 21744 by 18**: \[ 21744 \div 18 = 1208 \] 3. **Adjust for the decimal**: Since we multiplied by 100, we need to divide the result by 100. \[ \frac{1208}{100} = 12.08 \] **Answer**: 12.08 ### (v) Divide 2.575 by 25 1. **Remove the decimal**: Multiply both the numerator and the denominator by 1000. \[ \frac{2.575 \times 1000}{25 \times 1000} = \frac{2575}{25000} \] 2. **Divide 2575 by 25**: \[ 2575 \div 25 = 103 \] 3. **Adjust for the decimal**: Since we multiplied by 1000, we need to divide the result by 1000. \[ \frac{103}{1000} = 0.103 \] **Answer**: 0.103 ### (vi) Divide 6.08 by 8 1. **Remove the decimal**: Multiply both the numerator and the denominator by 100. \[ \frac{6.08 \times 100}{8 \times 100} = \frac{608}{800} \] 2. **Divide 608 by 8**: \[ 608 \div 8 = 76 \] 3. **Adjust for the decimal**: Since we multiplied by 100, we need to divide the result by 100. \[ \frac{76}{100} = 0.76 \] **Answer**: 0.76 ### (vii) Divide 0.765 by 9 1. **Remove the decimal**: Multiply both the numerator and the denominator by 1000. \[ \frac{0.765 \times 1000}{9 \times 1000} = \frac{765}{9000} \] 2. **Divide 765 by 9**: \[ 765 \div 9 = 85 \] 3. **Adjust for the decimal**: Since we multiplied by 1000, we need to divide the result by 1000. \[ \frac{85}{1000} = 0.085 \] **Answer**: 0.085 ### (viii) Divide 0.768 by 16 1. **Remove the decimal**: Multiply both the numerator and the denominator by 1000. \[ \frac{0.768 \times 1000}{16 \times 1000} = \frac{768}{16000} \] 2. **Divide 768 by 16**: \[ 768 \div 16 = 48 \] 3. **Adjust for the decimal**: Since we multiplied by 1000, we need to divide the result by 1000. \[ \frac{48}{1000} = 0.048 \] **Answer**: 0.048 ### (ix) Divide 0.175 by 25 1. **Remove the decimal**: Multiply both the numerator and the denominator by 1000. \[ \frac{0.175 \times 1000}{25 \times 1000} = \frac{175}{25000} \] 2. **Divide 175 by 25**: \[ 175 \div 25 = 7 \] 3. **Adjust for the decimal**: Since we multiplied by 1000, we need to divide the result by 1000. \[ \frac{7}{1000} = 0.007 \] **Answer**: 0.007 ### (x) Divide 0.3322 by 11 1. **Remove the decimal**: Multiply both the numerator and the denominator by 10000. \[ \frac{0.3322 \times 10000}{11 \times 10000} = \frac{3322}{110000} \] 2. **Divide 3322 by 11**: \[ 3322 \div 11 = 302 \] 3. **Adjust for the decimal**: Since we multiplied by 10000, we need to divide the result by 10000. \[ \frac{302}{10000} = 0.0302 \] **Answer**: 0.0302 ### (xi) Divide 2.13 by 15 1. **Remove the decimal**: Multiply both the numerator and the denominator by 100. \[ \frac{2.13 \times 100}{15 \times 100} = \frac{213}{1500} \] 2. **Divide 213 by 15**: \[ 213 \div 15 = 14.2 \] 3. **Adjust for the decimal**: Since we multiplied by 100, we need to divide the result by 100. \[ \frac{14.2}{100} = 0.142 \] **Answer**: 0.142 ### (xii) Divide 6.54 by 12 1. **Remove the decimal**: Multiply both the numerator and the denominator by 100. \[ \frac{6.54 \times 100}{12 \times 100} = \frac{654}{1200} \] 2. **Divide 654 by 12**: \[ 654 \div 12 = 54.5 \] 3. **Adjust for the decimal**: Since we multiplied by 100, we need to divide the result by 100. \[ \frac{54.5}{100} = 0.545 \] **Answer**: 0.545 ### (xiii) Divide 5.52 by 16 1. **Remove the decimal**: Multiply both the numerator and the denominator by 100. \[ \frac{5.52 \times 100}{16 \times 100} = \frac{552}{1600} \] 2. **Divide 552 by 16**: \[ 552 \div 16 = 34.5 \] 3. **Adjust for the decimal**: Since we multiplied by 100, we need to divide the result by 100. \[ \frac{34.5}{100} = 0.345 \] **Answer**: 0.345 ### (xiv) Divide 1.001 by 14 1. **Remove the decimal**: Multiply both the numerator and the denominator by 1000. \[ \frac{1.001 \times 1000}{14 \times 1000} = \frac{1001}{14000} \] 2. **Divide 1001 by 14**: \[ 1001 \div 14 = 71.5 \] 3. **Adjust for the decimal**: Since we multiplied by 1000, we need to divide the result by 1000. \[ \frac{71.5}{1000} = 0.0715 \] **Answer**: 0.0715 ### (xv) Divide 0.477 by 18 1. **Remove the decimal**: Multiply both the numerator and the denominator by 1000. \[ \frac{0.477 \times 1000}{18 \times 1000} = \frac{477}{18000} \] 2. **Divide 477 by 18**: \[ 477 \div 18 = 26.5 \] 3. **Adjust for the decimal**: Since we multiplied by 1000, we need to divide the result by 1000. \[ \frac{26.5}{1000} = 0.0265 \] **Answer**: 0.0265
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RS AGGARWAL-DECIMALS-EXERCISE 3D
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  3. Divide: (i) 1286.5 by 1000 (ii) 354.16 by 1000 (iii) 38.9 by 1000 (iv...

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  5. Divide: (i) 43.2 by 6 (ii) 60.48 by 12 (iii) 117.6 by 21 (iv) 217.44 ...

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  6. Divide: (i) 16.46/20 (ii) 403.8/ 30 (iii) 19.2/80 (iv) 156.8 /200 (v)...

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