3 Marks Question

Question 13 Marks

Divide: $7$ by $0.014$

Answer

$\frac{7}{0.014}$
$=\frac{7\times1000}{0.014\times1000}$
$=\frac{7000}{14}$
$=\frac{164.6}{200}$
$=\frac{164.6}{2\times100}$
$=\frac{164.6}{100}\times\frac{1}{2}$
$=\frac{1.646}{2}$
$=0.823$

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Question 23 Marks

Write the following as decimals: $23+\frac{2}{10}+\frac{6}{1000}$

Answer

$23+\frac{2}{10}+\frac{6}{1000}$ Convert $\frac{2}{10}$ and $\frac{6}{1000}$ into decimals,
$\frac{2}{10}$ Mark the decimal point one place from right to left, $\frac{2}{10}$
$=0.2$ Mark the decimal point three places from right to left, $\frac{6}{1000}$
$=0.006$ $23, 0.2, 0.006$ are unlike decimals.
So, we convert them into like decimals. $=23+\frac{2}{10}+\frac{6}{1000}$
$=23+0.2+0.006$
$=23.206$

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Question 33 Marks

Write the following as decimals:
$20+\frac{9}{10}+\frac{4}{100}$

Answer

$20+\frac{9}{10}+\frac{4}{100}$
Convert $\frac{9}{10}$ and $\frac{4}{100}$ into decimals
$\frac{9}{10}$
Mark the decimal point one place from right to left,
$\frac{9}{10}=0.9$
$=\frac{4}{100}$
Mark the decimal point two places from right to left,
$\frac{4}{100}$
$=0.04$
$=20+\frac{9}{10}+\frac{4}{100}$
$=20+0.9+0.04$
$=20.94$

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Question 43 Marks

Shikha cuts $50m$ of cloth into pleces of $1.25m$ each. How many pieces does she get?

Answer

Total length of cloth $= 50m$
Length of each piece of cloth $= 1.25m$
Number of pieces $=\frac{50}{1.25}$
$=\frac{50\times100}{1.25\times100}$
$=\frac{5000}{125}$
$=40$ pieces
Therefore, Shikha got $40$ pieces.

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Question 53 Marks

Each side of a rectangular polygom is $2.5cm$ in length. The perimeter of the polygon is $12.5cm$. How many sides does the polygon have?

Answer

Length of each side of rectangular polygon $= 5.2\ cm$
Perimeter of polygon $= 12.5\ cm$
No of sides polygon has $= 12.5\ cm$
No of sides polygon have $=\frac{12.5}{2.5}$
$=\frac{12.5\times10}{2.5\times10}$
$=5$
Therefore, the sides of the polygom is $5$.

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