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Question 31 Mark
Add the following:$18.03, 146.3, 0.829$ and $5.324$
Answer
$18.03 + 146.3 + 0.829 + 5.324$
$= 164.33 + 6.153$
$= 170.483$
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Question 51 Mark
Express the following fractions as decimals: $25\frac{1}{8}$
Answer
$25\frac{1}{8}$ $=25+\frac{1}{8}$ $=25+\frac{1\times125}{8\times125}$ $=25+\frac{125}{10000}$ $=25+0.125$ $=25.125$
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Question 81 Mark
Express the following fractions as decimals: $39\frac{7}{35}$
Answer
$39\frac{7}{35}$ $=\frac{1372}{35}$ $=39.2$
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Question 91 Mark
Find the product:
$2.506 \times 1000$
Answer
On dividing by $1000,$ we get,
$\frac{2506}{1000}\times1000$
$=2506$
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Question 181 Mark
Divide: $142.45$ by $10$
Answer
$\frac{142.45}{10}$ $=\frac{14245}{100\times10}$ $=\frac{14245}{1000}$ $=14.245$
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Question 191 Mark
Find: $13.01 \times 5.01$
Answer
$13.01 × 5.01$ $\frac{1301}{100}\times\frac{501}{100}$ $=\frac{651801}{10000}$ $=65.1801$
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Question 201 Mark
Find the product: $20.708 \times 1000$
Answer
On dividing by $1000,$
we get, $\frac{20708}{1000}\times1000$
$=20708$
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Question 211 Mark
A vehicle covers a distance of $43.2\ km$ in $2.4$ litres of petrol. How much distance will it travel in $1$ litre of petrol$?$
Answer
Distance covered in $2.4$ litres of petrol $= 43.2\ km$
Distance covered in $1$ litre of petrol $=\frac{43.2}{2.4}$
$=18\text{km}$
The distance travelled in $1$ litre of petrol is $18\ km$
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Question 221 Mark
Find the product: $100 \times 0.005$
Answer
On dividing by $1,000,$
we get, $100\times\frac{5}{1000}$ $=\frac{5}{10}$ $=0.5$
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Question 251 Mark
Divide: $0.765$ by $0.9$
Answer
$\frac{0.765}{0.9}=\frac{765\times10}{9\times100}$ $=\frac{7650}{9000}$ $=0.85$
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Question 271 Mark
Divide: $31.92$ by $228$
Answer
$\frac{31.92}{228}$ $=\frac{3192}{228\times100}$ $=\frac{14}{100}$ $=0.14$
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Question 281 Mark
Divide: $164.6$ by $200$
Answer
$\frac{164.6}{200}$ $=\frac{1646}{200\times10}$ $=\frac{1646}{2000}$ $=0.823$
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Question 291 Mark
Find the product: $12.075 \times 100$
Answer
On dividing by $1,000,$
we get, $\frac{12075}{1000}\times100$
$=\frac{12075}{10}$
$=1207.5$
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Question 331 Mark
Take out $3.547$ from $7.2$
Answer
According to the question, we need to subtract $3.547$ from $7.2$ On converting the given decimals to like decimals,
we get the new decimals as $3.547$ and $7.200$
Let us now subtract them. $7.200 - 3.547 = 3.653$
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Question 341 Mark
One metre of cloth $₹ 152.50.$ What is the cost of $10.75$ metres of cloth$?$
Answer
We have, One metre of cloth cost $= ₹ 152.50$ Cost of $10.75$ metres $= 10.75 \times 152.50 = ₹ 1639.375$
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Question 351 Mark
Find the product: $4.74 \times 10$
Answer
On dividing by $100,$ we get, $4.74\times10$
$=\frac{474}{100}\times10$
$=\frac{474}{10}$
$=47.4$
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Question 371 Mark
Find: $1.07 \times 0.02$
Answer
$1.07 × 0.02$ $\frac{107}{100}\times\frac{2}{100}$ $=\frac{107\times2}{10000}$ $=0.0214$
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Question 381 Mark
Find the product: $3.4 \times 17$
Answer
On dividing the decimal by $10$ and multiplying the numbers,
we get, $\frac{34}{10}\times17$
$=\frac{578}{10}$
$=57.8$
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Question 391 Mark
Find the product: $35.853 \times 100$
Answer
On dividing by $1,000,$ we get,
$\frac{35853}{1000}\times100$
$=\frac{35853}{10}$
$=3585.3$
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Question 421 Mark
Find the product: $0.0215 \times 10$
Answer
Because the decimal is after $4$ places from the right, we will divide by $10,000.$
We get, $\frac{215}{10000}\times10$
$=\frac{215}{1000}$
$=0.215$
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Question 441 Mark
Find the product: $28.73 \times 47$
Answer
On dividing the decimal by $100$ and multiplying the numbers,
we get, $\frac{2873}{100}\times47$
$=\frac{135031}{100}$
$=1350.31$
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Question 451 Mark
Find the product:
$42.5 \times 100$
Answer
On dividing by $10,$ we get,
$\frac{425}{10}\times100$
$=425\times10$
$=4250$
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Question 461 Mark
Find the product: $0.0529 \times 1000$
Answer
On dividing by $10,000,$
we get, $\frac{529}{10000}\times1000$
$=\frac{529}{10}$
$=52.9$
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Question 471 Mark
Find the product: $0.0054 \times 10$
Answer
Because the decimal is after $4$ places from the right, we will divide by $10,000.$
We get, $\frac{54}{10000}\times10$
$=\frac{54}{1000}$
$=0.054$
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Question 481 Mark
Divide: $16.344$ by $12$
Answer
$\frac{16.344}{12}$ $=\frac{16344}{12\times1000}$ $=\frac{1362}{1000}$ $=1.362$
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Question 491 Mark
Divide: $54.25$ by $10$
Answer
$\frac{54.25}{10}$ $=\frac{5425}{100\times10}$ $=\frac{5425}{1000}$ $=5.425$
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Question 501 Mark
Find the product: $0.0415 \times 59$
Answer
On dividing the decimal by $10000$ and multiplying the numbers,
we get, $\frac{415}{10000}\times59$
$=\frac{24485}{10000}$
$=2.4485$
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1 Marks Question - Maths STD 7 Questions - Vidyadip