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MATHS 2 Marks Questions

Decimals · Rajasthan Board (RBSE) STD 6 (Rajasthan - English Medium). 19 questions.

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19 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks
Rani had $₹ 18.50.$ She bought one ice-cream for $₹ 11.75$. How much money does she has now$?$
Answer
Money Rani had $= Rs.18.50$
Ice-cream bought for $= Rs.11.75$
$\therefore$ Money she has now $= Rs.18.50 - Rs.11.75 = Rs.6.75$
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Question 22 Marks
Raju bought a book for $₹ 35.65.$ He gave $₹ 50$ to the shopkeeper. How much money did he get back from the shopkeeper$?$
Answer
Book bought for $= Rs.35.65$
Money given to the shopkeeper $= Rs.50$
$\therefore $ Money got back from the shopkeeper $= Rs.50 - Rs.35.65 = Rs.14.35$
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Question 32 Marks
Radhika's mother gave her $₹ 10.50$ and her father gave her $₹ 15.80,$ find the total amount given to Radhika by the parents.
Answer
Money given by mother $= Rs.10.50$
Money given by father $= Rs. 15.80$
$\therefore$ Total amount given to Radhika by parents $= Rs. 10.50 + Rs. 15.80 = Rs. 26.30$
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Question 42 Marks
Rashid spent $₹35.75$ for Maths book and $₹32.60$ for science book. Find the total amount spent by Rashid.
Answer
Money spent for Maths book $= Rs. 35.75$
Money spent for science book $= Rs. 32.60$
$\therefore$ Total amount spent by Rashid $= Rs 35.75 + Rs 32.60$
$= Rs 68.35$
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Question 52 Marks
Express $26 \ kg\ 50\ g$ as $\ kg$ using decimal.
Answer
$26 \ kg\ 50\ g = 26 \ kg + 50\ g = 26 \ kg + \frac{50}{1000} \ kg ...[\because 1\ gm =\frac{1}{1000}kg]$
$= 26 \ kg + 0.050 \ kg$
$= (26 + 0.050) \ kg = 26.050 \ kg = 26.05 \ kg$
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Question 62 Marks
Express $5 \ kg\ 8\ g$ as $\ kg$ using decimal.
Answer
$5 \ kg\ 8\ g = 5 \ kg + 8\ g = 5 \ kg + \frac{8}{1000} \ kg ...[\because 1\ gm =\frac{1}{1000} \ kg]$
$= 5 \ kg + 0.008 \ kg$
$= (5 + 0.008) \ kg = 5.008 \ kg$
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Question 72 Marks
Express $3750 g$ as kg using decimal.
Answer
$3750g = (3000 + 750)g = 3000 g + 750 g$
$=\frac{3000}{1000} \ kg +\frac{750}{1000} \ kg = 3 \ kg + 0.750 \ kg ...[\because 1gm =\frac{1}{1000}kg]$
$= (3 + 0.750) \ kg$
$= 3.750 \ kg$
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Question 82 Marks
Express $70 \ km\ 5\ m$ as km using decimal.
Answer
$70 \ km\ 5\ m = 70 \ km + 5\ m = 70 \ km + \frac { 5 } { 1000 } \ km.........[\because 1\ m = \frac { 1 } { 1000 } \ km]$
$= 70 \ km + 0.005 \ km$
$= (70 + 0.005) \ km = 70.005 \ km$
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Question 92 Marks
Express $8888\ m$ as km using decimal.
Answer
$8888\ m = (8000 + 888)\ m = 8000\ m + 888\ m$
$= \frac { 8000 } { 1000 } \mathrm { \ km } { + \frac { 888 } { 1000 } } \mathrm { \ km }.......[\because 1m = \frac { 1 } { 1000 }km]$
$= 8 \ km + 0.888 \ km$
$= (8 + 0.888) \ km = 8.888 \ km.$
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Question 102 Marks
Express $93\ mm$ as cm using decimal.
Answer
$93\ mm = (90 + 3)\ mm = 90\ mm + 3\ mm$
$= \frac { 90 } { 10 } { \mathrm { \ cm } } + \frac { 3 } { 10 } \mathrm{cm}..............[ \because 1\ mm = \frac { 1 } { 10 }\ cm]$
$= 9 \ cm + 0.3 \ cm$
$= (9 + 0.3) \ cm = 9.3 \ cm$
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Question 112 Marks
Express $9\ cm\ 8\ mm$ as cm using decimal.
Answer
$9 \ cm\ 8\ mm = 9 \ cm + 8\ mm = 9 \ cm + \frac { 8 } { 10 } \ cm..............[\because 1\ mm = \frac { 1 } { 10 } \ cm]$
$= 9 \ cm + 0.8 \ cm$
$= (9 + 0.8) \ cm = 9.8 \ cm$
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Question 122 Marks
Express $9\ m\ 7 \ cm$ as metre using decimal.
Answer
Distance travelled by bus $= 15 \ km \ 268\ m = 15 \ km + 268\ m$
$= 15 \ km + \frac{268}{1000} \ km = 15 \ km + 0.268 \ km ...[\because 1m =\;\frac1{1000} \ km]$
$= (15 + 0.268) \ km = 15.268 \ km$
Distance travelled by car $= 7 \ km\ 7\ m = 7 \ km + 7 m$
$= 7 \ km + \frac{7}{1000}km = 7 \ km + 0.007 \ km ...[\because 1m =\;\frac1{1000} \ km]$
$= (7 + 0.007) \ km = 7.007 \ km$
Distance travelled by foot $= 500\ m = \frac{500}{1000}\ km = 0.500 \ km ...[\because 1m =\;\frac1{1000} \ km]$
$\therefore$ Distance of school from residence $= 15.268 \ km + 7.007 \ km + 0.500 \ km = 22.775 \ km$
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Question 132 Marks
Express $2\ m\ 45\ cm$ as metre using decimal.
Answer
$2\ m\ 45 \ cm = 2\ m + 45 \ cm = 2\ m + \frac { 45 } { 100 } \ m . . . . [\because 1 \ cm = \frac { 1 } { 100 } m]$
$= 2\ m + 0.45\ m$
$= (2 + 0.45)\ m = 2.45\ m$
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Question 142 Marks
Express $725$ paise as rupees using decimal.
Answer
$725$ paise
$725$ paise $= (700 + 25)$ paise $= 700$ paise $+\ 25$ paise
$\frac{700}{100}$ rupees$+ \frac{25}{100}$ rupees$ . . . . [\because 1$ paisa $= \frac { 1 } { 100 }$ rupee$]$
$= 7$ rupees $+\ 0.25$ rupee
$= (7 + 0.25)$ rupees $= 7.25$ rupees
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Question 152 Marks
Kanchan bought a watermelon weighing $5 \ kg\ 200\ g.$ Out of this she gave $2 \ kg\ 750\ g$ to her neighbour. What is the weight of the watermelon left with Kanchan?
Answer
Given that,
Total weight of the watermelon $= 5.200 \ kg$
Watermelon given to the neighbour $= 2.750 \ kg$
Therefore, weight of the remaining watermelon $= 5.200 \ kg - 2.750 \ kg = 2.450 \ kg$
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Question 162 Marks
Urmila’s school is at a distance of $5 \ km\ 350\ m$ from her house. She travels $1 \ km\ 70\ m$ on foot and the rest by bus. How much distance does she travel by bus?
Answer
Given that,
Total distance of school from the house $= 5.350 \ km$
Distance travelled on foot $= 1.070 \ km$
Therefore, the distance travelled by bus $= 5.350 \ km - 1.070 \ km = 4.280 \ km$
Thus, distance travelled by bus $= 4.280 \ km$ or $4 \ km\ 280\ m$
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Question 172 Marks
Lata spent $₹9.50$ for buying a pen and $₹2.50$ for one pencil. How much money did she spend$?$
Answer
Money spent for pen $= ₹9.50$
Money spent for pencil $= ₹2.50$
Total money spent $= ₹9.50 + ₹2.50$
Therefore, Total money spent $= ₹12.00$
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Question 182 Marks
Which is greater $1.09$ or $1.093?$
Answer
Here,
$1.09=1+\frac{0}{10}+\frac{9}{100}+\frac{0}{1000}$
$1.093=1+\frac{0}{10}+\frac{9}{100}+\frac{3}{1000}$
In this case, the two numbers have the same parts up to the hundredths place.
But the thousandths part of $1.093$ is greater than that of $1.09.$
Therefore, $1.093 > 1.09.$
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Question 192 Marks
Which is greater $1$ or $0.99?$
Answer
Here,
$1=1+\frac{0}{10}+\frac{0}{100}$
$0.99=0+\frac{9}{10}+\frac{9}{100}$
The whole part of $1$ is greater than that of $0.99.$
Therefore, $1 > 0.99$
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