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Maths 2 Marks Questions

Decimals · Uttarakhand Board (UBSE) STD 6 (Uttarakhand - English Medium). 70 questions.

Questions · Page 2 of 2

2 Marks Questions

Question 512 Marks
Add the following decimals:
$72.8, 7.68, 16.23$ and $0.7$
Answer
Converting the given decimals, we get
$72.80, 7.68, 16.23, 0.70$
Writing these decimals in column and adding, we get:
$\ 72.80\\\ \ \ 7.68\\\ 16.23 \\ \underline{+0.70} \\\underline{\ 97.41\ }$
Hence, the sum of the given decimals is $97.41$
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Question 522 Marks
Subtract: $59.63$ from $92.4$
Answer
$59.63$ from $92.4 92.40 - 59.63 = 32.77$
Working:$\ \ \ 92.40\\ \underline{-59.63}\\ \underline{\ \ \ 32.77}$
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Question 532 Marks
What is to be added to $63.5$ to get $71$?
Answer
We subtract $63.5$ from $71$ in order to find the number that is to be added to $63.5$ to make it $71$.
Converting into like decimals and then subtracting: $\ \ \ \ 71.0\\ \ \underline{-63.5}\\ \underline{\ \ \ \ \ \ 7.5}$
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Question 542 Marks
Convert the following as a mixed fraction: $4.275$
Answer
$4.275$ $=\frac{4275}{1000}$
$=\frac{4275\div25}{1000\div25}$
$=\frac{171}{40}$
$=4\frac{11}{40}$ (Dividing by $25$)
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Question 552 Marks
Express $6\ km\ 5m$ as $km$ using decimals.
Answer
$1\text{m}=\frac{1}{1000}\text{km}$
$\therefore5\text{m}=\frac{5}{1000}\text{km}=0.005\text{km}$
$6\text{km}\ 5\text{m}=(6+0.005)\text{km}$
$=(6.005)\text{km}$
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Question 562 Marks
Arrange the following decimals in descending order: $7.3, 8.73, 73.03, 7.33, 8.073$
Answer
Converting the given decimals into like decimals, we get them as,
$7.300, 8.730, 73.030, 7.330, 8.073$
Clearly, $73.03 > 8.730 > 8.073 > 7.33 > 7.3$
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Question 572 Marks
Write the following in decimals form:
$600+5+\frac{7}{100}+\frac{9}{1000}$
Answer
$=\frac{600000+5000+70+9}{100}$
$=\frac{605079}{1000}$
$=605.079$
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Question 582 Marks
Arrange the following decimals in descending order: $6.5, 6.05, 6.54, 6.4$ and $6.45$
Answer
$6.5, 6.05, 6.54, 6.4$ and $6.45$ Converting into like decimals: $6.50, 6.05, 6.54, 6.40$ and $6.45$
Clearly, $6.54 > 6.50 > 6.45 > 6.40 > 6.05$
Hence, the given decimals can be arranged in the descending order in the following manner: $6.54, 6.50, 6.45, 6.40$ and $6.05$
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Question 592 Marks
Convert the following into like decimals: $2.5, 0.63, 14.08, 1.637$
Answer
In the given numbers, the maximum number of decimal places is $3$.
So, we convert each one of the given numbers into having $3$ decimal places by annexing suitable number of zeros to the extreme right of the decimal part.
2$.5 = 2.500, 0.63 = 0.630, 14.08 = 14.080, 1.637 = 1.637$
Thus, $2.500, 0.630, 14.080, 1.637$ are the required like decimals.
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Question 602 Marks
Add the following decimals:
$8.236, 16.064, 63.8$ and $27.53$
Answer
Converting the given decimals, we get
$8.236, 16.064, 63.800, 27.530$
Writing these decimals in column and adding, we get:
$\ \ \ \ \ 8.236\\\\ \ \ \ 16.064\\\ \ \ 63.800 \\ \underline{+27.530} \\\underline{\ 115.630\ }$
Hence, the sum of the given decimals is $115.63$
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Question 622 Marks
Convert the following as a mixed fraction: $2.052$
Answer
$2.052$ $=\frac{2052}{1000}$ $=\frac{2052\div4}{1000\div4}$ $=\frac{513}{250}$ $=2\frac{13}{250}$ (Dividing by $4$)
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Question 642 Marks
Convert the following into a decimal: $5\frac{17}{50}$
Answer
$5\frac{17}{50}$ $=\frac{5\times50+17}{50}$ $\frac{250+17}{50}$ $\frac{267}{50}$ $=5.34$
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Question 652 Marks
What is to be added to $74.5$ to get $91$?
Answer
In order to get the required number, we have to subtract $74.5$ from $91$
Required number$ = 91 - 74.5 = 91.0 - 74.5 = 16.5$
Working: $\ \ \ \ {91.0}\\\ \underline{-74.5}\\ \underline{\ \ \ \ 16.5}$
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Question 662 Marks
Subtract: $348.237$ from $523.12$
Answer
$523.120 - 348.237 = 174.883$
Working: $\ \ \ 523.120\\ \underline{-348.237}\\ \underline{\ \ \ 174.883}$
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Question 682 Marks
Subtract: $127.38$ from $216.2$
Answer
$127.38$ from $216.2 216.20 - 127.38 = 88.82$
Working: $\ \ \ 216.20\\ \underline{-127.38}\\ \underline{\ \ \ \ \ 88.82}$
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Question 692 Marks
Express $105\ cm$ into metres using decimals.
Answer
$1\text{cm}=\frac{1}{100}$
$\therefore105\text{cm}=\frac{105}{100}\text{m}$
$=\big(1+\frac{5}{100}\big)\text{m}$
$=(1+0.05)\text{m}=1.05\text{m}$
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Question 702 Marks
Write the following in decimals form: $800+5+\frac{8}{10}+\frac{6}{1000}$
Answer
$=\frac{800000+5000+800+6}{1000}$ $=\frac{805806}{1000}$ $=805.806$
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