Question

Convert decimal to fractions:

$0.7 = \frac{\begin{matrix} \end{matrix}}{\begin{matrix} \end{matrix}} \to_____parts of_____equal parts . 0.07 =_____parts of_____equal parts$

$0.007 = \frac{}{} \to_____parts of_____equal parts .$

$5.7 = \frac{57}{10} = 5 \frac{7}{10} \to 5 whole and 7 parts out of 10 equal parts of 1 whole$

$5.07 = \frac{507}{100} = 5 \frac{7}{100}$ $\to 5 whole and 7 parts out of 100 equal parts of 1 whole$

$5.007 = \frac{5007}{1000} = 5 \frac{7}{1000} \to 5 whole and 7 parts out of 1000 equal parts of 1 whole$

Hence, find $. 7_____0.07_____0.007$ (Put yourself $> / <$ )

$5.007_____5.07_____5.7$ (Put yourself $> / <$ )

Accepted Answer

By placing proper values in the given table, we find:

$0.7 = \frac{\begin{matrix} 7 \end{matrix}}{\begin{matrix} 10 \end{matrix}} \to 7 parts of 10 equal parts . 0.07 = 7 parts of 100 equal parts$

$0.007 = \frac{7}{1000} \to 7 parts of 1000 equal parts .$

$5.7 = \frac{57}{10} = 5 \frac{7}{10} \to 5 whole and 7 parts out of 10 equal parts of 1 whole$

$5.07 = \frac{507}{100} = 5 \frac{7}{100}$ $\to 5 whole and 7 parts out of 100 equal parts of 1 whole$

$5.007 = \frac{5007}{1000} = 5 \frac{7}{1000} \to 5 whole and 7 parts out of 1000 equal parts of 1 whole$

Now, to find the relation between the given decimals, we first took all the decimal numbers to the same place of decimal.

Now, we can write, $\cdot 007 = \frac{7}{1000}$ ; $0.07 = 0.070 = \frac{70}{1000}$ and $0.7 = 0.700 = \frac{700}{1000}$

Now, $\frac{700}{1000} > \frac{70}{1000} > \frac{7}{1000}$ $\Rightarrow 0.7 > 0.07 > 0.007$

Again, $5.7 = 5.700 = \frac{5700}{1000}$ ; $5.07 = 5.070 = \frac{5070}{1000}$ and $5.007 = \frac{5007}{1000}$

Now, $\frac{5007}{1000} < \frac{5070}{1000} < \frac{5700}{1000}$ $\Rightarrow 5.007 < 5.07 < 5.7$

West Bengal Board Solutions for Chapter: Revision of Previous Lessons, Exercise 21: Exercise 21

West Bengal Board Mathematics Solutions for Exercise - West Bengal Board Solutions for Chapter: Revision of Previous Lessons, Exercise 21: Exercise 21

Questions from West Bengal Board Solutions for Chapter: Revision of Previous Lessons, Exercise 21: Exercise 21 with Hints & Solutions

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