Question 12 Marks
Express the following fractions as decimals:
$75\frac{1}{4}$
Answer$75\frac{1}{4}=75+\frac{1}{4}$
$=75+\frac{1\times25}{4\times25}$
$=75+\frac{25}{100}=75.25$
View full question & answer→Question 22 Marks
Rahul bought $4\ kg, 90g$ apples, $2\ kg, 60g$ of grapes and $5\ kg, 300g$ mangoes. Find the weight of the fruits he bought in all.
AnswerWeight of the apples $= 4\ kg, 90\ g = 4.090\ kg$
Weight grapes $= 2\ kg, 60\ g = 2.060\ kg$
Weight of mangoes $= 5\ kg, 300\ g = 5.300\ kg$
Therefore, the total weight of fruits bought by rahul $= (4.090 + 2.060 + 5.300)kg$
$= 11.450\ kg$
The total weight of the fruits is $11.450\ kg.$
View full question & answer→Question 32 Marks
Express as kilometer (km) using decimals: $5555\ m$
AnswerWe know that $1000\ m = 1\ km$
Therefore $1\text{m}=\frac{1}{1000}\text{km}$
$5\text{m}=\frac{5}{1000}\text{km}$
$=5.555\text{km}$
View full question & answer→Question 42 Marks
The sum of two number is $100.$ If one of them is $78.01,$ find the order.
AnswerOne number is $78.01$
Suppose the other number is $x.$
The sum of these numbers is $100$
Therefore, $78.01 + x = 100$
$= x = 100 - 78.01$
$= x = 21.99$
The other number is $21.99$
View full question & answer→Question 52 Marks
Express the following without using decimals: $3.5\ cm$
AnswerWe know that $10\ mm = 1\ cm.$
So, $1\text{mm}=\frac{1}{10}\text{cm}$
Therefore, $3.5 = 3 + 0.5$
$=3+\frac{5}{10} = 3\ cm$ and $5 \ mm$
View full question & answer→Question 62 Marks
Express as kilogram (kg) using decimals:
$36\ kg\ 50\ g$
AnswerWe know that $1000\ g = 1\ kg$
Therefore $1\text{g}=\frac{1}{1000}\text{kg}=0.001\text{kg}$
$36\ kg\ 50\ g = 36 + 501000$
$= 36.050\ kg$
View full question & answer→Question 72 Marks
Express as centimetre (cm) using decimals:
$175\ mm$
AnswerWe know that $10\ mm = 1\ cm$
Therefore $1\text{mm}=\frac{1}{10}\text{cm}$
$175\text{mm}=\frac{175}{10}\text{cm}$
$=17.5\text{cm}$
View full question & answer→Question 82 Marks
Write the following decimal as fractions. Reduce the fractions to lowest form:
$21.2$
Answer$=31+2\ \text{tenths}$
$=21+\frac{2}{10}$
$=\frac{21\times10}{10}+\frac{2}{10}$
$=\frac{210}{10}+\frac{2}{10}$
$=\frac{212}{10}$
$=\frac{106}{5}$
View full question & answer→Question 92 Marks
Express as metres (m) using decimals: $15\ cm$
AnswerWe know that $100\ cm = 1m.$
Therefore, $1\text{cm}=\frac{1}{100}\text{m}$
$15\text{cm}=15\Big(\frac{1}{100}\text{m}\Big)=\frac{15}{100}\text{m}$
$=0.15\text{m}$
View full question & answer→Question 102 Marks
Express the following fractions as decimals: $\frac{23}{10}$
Answer$\frac{23}{10}=\frac{20+3}{10}$ $=\frac{20}{10}+\frac{3}{10}=2+\frac{3}{10}=2.3$
View full question & answer→Question 112 Marks
Express the following fractions as decimals: $\frac{4375}{1000}$
Answer$\frac{4375}{1000}=\frac{4000+300+70+5}{1000}$ $=\frac{4000}{1000}+\frac{30}{1000}+\frac{70}{1000}+\frac{5}{1000}$ $=4+\frac{3}{10}+\frac{70}{100}+\frac{5}{1000}=4.375$
View full question & answer→Question 122 Marks
Express the following fractions as decimals: $\frac{139}{100}$
Answer$\frac{139}{100}=\frac{100+30+9}{100}$ $=\frac{100}{100}+\frac{30}{100}+\frac{9}{100}$ $=1+\frac{3}{10}+\frac{9}{100}=1.39$
View full question & answer→Question 132 Marks
Choose the decimal (s) from the brackets which is (are) not equivalent to the given decimals:
| $25.1$ |
$(25.01, 25.10, 25.100, 25.001)$ |
Answer$25.01$ and $25.001$ are not equivalent to the given decimal.
In $25.01, 0$ is in the tenth place,
whereas in $25.1, 1$ is in the tenth place.
In $25.001, 0$ is in the tenth place, whereas in $25.1, 1$ is in the tenth place.
View full question & answer→Question 142 Marks
Write the following as decimals: $40\frac{2}{5}$
Answer$40\frac{2}{5}+40+\frac{2}{5}$ To write in decimal,
we need to make the denominator $10$ by multiplying it by a number.
But to maintain the value of the fractoin,
we should also multiply the numerator by the same number.
Thus we get, $=40+\frac{2\times2}{5\times2}$
$=40+\frac{4}{10}$
$=40.4$
View full question & answer→Question 152 Marks
Write the following decimal as fractions. Reduce the fractions to lowest form: $3.8$
Answer$=3+8\ \text{tenths}$
$=3+\frac{8}{10}$
$=\frac{3\times10}{10}+\frac{8}{10}$
$=\frac{30}{10}+\frac{8}{10}$
$=\frac{38}{10}=\frac{19}{5}$
View full question & answer→Question 162 Marks
Choose the decimal (s) from the brackets which is (are) not equivalent to the given decimals:
| $45.05$ |
$(45.050, 45.005, 45.500, 45.0500)$ |
Answer$45.005$ and $45.500$ are not equivalent to the given decimal.
In $45.005, 0$ is in the hundredth place,
whereas in $45.05, 5$ is in the hundredth place.
In $45.500, 5$ is in the tenth place,
whereas in $45.05, 0$ is in the tenth place.
View full question & answer→Question 172 Marks
Express the following without using decimals:
$3.50\ km$
AnswerWe know that $100\ cm = 1m$
Therefore $7.54 = 7 + 0.54$
$=7+\frac{54}{100}$
$=7\text{m}\ 54\text{m}$
View full question & answer→Question 182 Marks
Write the following as decimals: $4\frac{3}{5}$
Answer$4\frac{3}{5}=4+\frac{3}{5}$ To write in decimal,
we need to make the denominator $10$ by multiplying it by a number.
But, to maintain the value of the fraction,
we should also multiply the numerator by the same number.
Thus, we get, $=4+\frac{3\times2}{5\times2}$
$=4+\frac{6}{10}$
$=4.6$
View full question & answer→Question 192 Marks
Express as kilometer (km) using decimals: $5m$
AnswerWe know that $1000\ m = 1\ km$
Therefore $1\text{m}=\frac{1}{1000}\text{km}$
$5\text{m}=\frac{5}{1000}\text{km}$
$=0.005\text{km}$
View full question & answer→Question 202 Marks
Which is greater? Give reason for your answer? $5.64$ or $5.603$
Answer$5.64 > 5.603 $ The whole parts and the tenth parts are both equal.
Comparing the hundredth parts, we have $4 > 0.$
Therefore, $5+\frac{6}{10}+\frac{4}{100}>5+\frac{6}{10}+\frac{0}{100}+\frac{3}{1000}$
View full question & answer→Question 212 Marks
Express the following fractions as decimals: $15\frac{1}{25}$
Answer$15\frac{1}{25}=15+\frac{1}{25}$ $=15+\frac{1\times4}{25\times4}$ $=15+\frac{4}{100}$ $=15.04$
View full question & answer→Question 222 Marks
Write the following decimal as fractions. Reduce the fractions to lowest form: $6.4$
Answer$=6+4\ \text{tenths}$ $=6+\frac{4}{10}$ $=\frac{6\times10}{10}+\frac{4}{10}$ $=\frac{60}{10}+\frac{4}{10}$ $=\frac{64}{10}=\frac{32}{5}$
View full question & answer→Question 232 Marks
Express as Rupee (Rs) using decimals:
$5$ paisa
AnswerWe know that $100$ paisa $= Rs. 1.$
Therefore, $1$ paisa $=\text{Rs}.\frac{1}{100}$
$5$ paisa $=\frac{5}{100}=\text{Rs}.0.05$
View full question & answer→Question 242 Marks
Victor drove $89.050\ km$ on Saturday and $73.9\ km$ on Sunday. How many kilometres more did he drive on Saturday$?$
AnswerDistance travelled on Saturday $= 89.050\ km$
Distance travelled on Sunday $= 73.9\ km$
Subtracting the distance travelled on Sunday from the distance travelled on Saturday
$= 89.050 - 73.9\ km. = 15.15\ km$
Therefore, victor drove $15.15\ km$ more on Saturday.
View full question & answer→Question 252 Marks
Write the following decimals as fractions. Reduce the fractions to lowest form: $0.04$
Answer$= 0 + 0.04$ $=0+0.4\ \text{hundredths}$ $=0+\frac{4}{100}$ $=\frac{4}{100}$ $=\frac{1}{25}$
View full question & answer→Question 262 Marks
Express as Rupee (Rs) using decimals:
$2$ rupees $60$ paisa.
AnswerWe know that $100$ paisa $= Rs. 1.$
Therefore, $1$ paisa $=\text{Rs}.\frac{1}{100}$
$2$ rupees and $60$ paisa $=2+\frac{60}{100}$
$= Rs. 2.60$
View full question & answer→Question 272 Marks
Convert the following sets of unlike decimals to like decimal: $5.296, 5.2, 5.29$
AnswerOf the three given decimals, $5.296$ has the highest number of decimal places, i.e.,
three, so we change the other two decimals so that they also have three decimal places.
Therefore, the like decimals are $5.296, 5.200$ and $5.290.$
View full question & answer→Question 282 Marks
Express the following without using decimals:
$0.2\ cm$
AnswerWe know that $1\ cm = 10\ mm.$
Therefore, $0.2=\frac{2}{10}$
$= 2\ mm$
View full question & answer→Question 292 Marks
Raju bought a book For $Rs. 35.65.$ He gave $Rs. 50$ to the shopkeeper. How much money did he get back from the shopkeeper$?$
AnswerPrice of the book $= Rs. 365$
Amount given to the shopkeeper $= Rs. 50$
Therefore, balance returned by the shopkeeper $= Rs. (50 - 35.65) = Rs. 14.35$
View full question & answer→Question 302 Marks
Express as kilometer (km) using decimals: $55m$
AnswerWe know that $1000m = 1\ km$
Therefore $1\text{m}=\frac{1}{1000}\text{km}$
$55\text{m}=\frac{55}{1000}\text{km}$
$=0.055\text{km}$
View full question & answer→Question 312 Marks
Express as metres (m) using decimals: $8\ cm$
AnswerWe know that $100\ cm = 1m$
Therefore $1\text{cm}=\frac{1}{100}\text{m}$
$8\text{cm}=8\Big(\frac{1}{100}\text{m}\Big)=\frac{8}{100}\text{m}$
$=0.08\text{cm}$
View full question & answer→Question 322 Marks
Convert the following decimals as fractions: $75.35$
Answer$=75+0.35$
$=75+\frac{35}{100}$
$=75+\frac{\frac{35}{5}}{\frac{100}{5}}$
$=75+\frac{7}{20}$
$=75\frac{7}{20}$
$=\frac{1507}{20}$
View full question & answer→Question 332 Marks
Express as kilogram (kg) using decimals: $2750g$
AnswerWe know that $1000g = 1\ kg$
Therefore $1\text{g}=\frac{1}{1000}\text{kg}=0.001\text{kg}$
$2750\text{g}=\frac{2750}{1000}\text{kg}$
$=2.750\text{kg}$
View full question & answer→Question 342 Marks
Convert the following sets of unlike decimals to like decimal: $0.6, 5.8, 12.765$
AnswerOf the three given decimals, $12.765$ has the highest number of decimal places, i.e.,
three, so we change the other two decimals so that they also have three decimal places.
Therefore, the like decimals are $0.600, 5.800$ and $12.765.$
View full question & answer→Question 352 Marks
Express as Rupee (Rs) using decimals: $350$ paisa
AnswerWe know that $100$ paisa $= Rs. 1.$
Therefore, $1$ paisa $=\text{Rs}.\frac{1}{100}$
$350$ paisa $=\frac{350}{100}=\text{Rs}.3.50$
View full question & answer→Question 362 Marks
Express the following without using decimals: $Rs. 5.25$
AnswerWe know that $100$ paisa $= 1$ rupee.
So, $1$ paisa $=\frac{1}{100}\ \text{rupee}$
Therefore, $Rs. 5.25 = 5 + 0.25$
$=5+\frac{25}{100} = Rs. 5$ and $25$ paisa
View full question & answer→Question 372 Marks
Express the following fractions as decimals: $25\frac{1}{8}$
Answer$25\frac{1}{8}=25+\frac{1}{8}$ $=25+\frac{1\times125}{8\times125}$ $=25+\frac{125}{1000}$ $=25.125$
View full question & answer→Question 382 Marks
Express as kilometer (km) using decimals: $15\ km\ 35m$
AnswerWe know that $1000m = 1\ km$
Therefore $1\text{m}=\frac{1}{1000}\text{km}$
$15\ km\ 35\ m = 15 + 351000 = 15.035\ km$
View full question & answer→Question 392 Marks
Nasreen bought $3\ m\ 20\ cm$ cloth for her shirt and $2\ m\ 5\ cm$ cloth for skirt. Find the total cloth bought by her.
AnswerCloth for shirt $= 3\ m\ 20\ cm = 3.20\ m$
Cloth for skirt $= 2\ m\ 50\ m = 2.05\ m$
Total cloth bought by nasreen $= (3.20 + 2.05)\ m$
$= 5.25\ m$
Total cloth bought by nasreen is $5.25\ m$
View full question & answer→Question 402 Marks
Express as kilogram (kg) using decimals: $5\ kg\ 750\ g$
AnswerWe know that $1000\ g = 1\ kg$
Therefore $1\text{g}=\frac{1}{1000}\text{kg}=0.001\text{kg}$
$5\ kg\ 750\ g = 5 + 7501000 = 5.750\ kg$
View full question & answer→Question 412 Marks
Write the decimals shown in the following place value table:
| |
Thousands |
Hundreds |
Tens |
Ones |
Tenths |
Hundredths |
Thousandths |
| $i$ |
|
$3$ |
$0$ |
$7$ |
$1$ |
$2$ |
|
| $ii$ |
$9$ |
$5$ |
$4$ |
$3$ |
$0$ |
$2$ |
$5$ |
| $iii$ |
|
|
$1$ |
$2$ |
$5$ |
$0$ |
$3$ |
AnswerThe decimals shown in the above place$-$value table can be written as follows.
$i.\ 307.12$
$ii.\ 9543.025$
$iii.\ 12.503$
View full question & answer→Question 422 Marks
Write the following as decimals: $39\frac{2}{10}$
Answer$39\frac{2}{10}=39+\frac{2}{10}$ Here, the denominator is $10.$ Therefore, the decimal is $39.2$
View full question & answer→Question 432 Marks
Convert the following sets of unlike decimals to like decimal: $4.3294, 43.29, 432.94$
AnswerAmong the three given decimals, $4.3294$ has the highest number of decimal places, i.e., four, so we change all the decimals so that they also have four decimal places. Therefore, the like decimals are $4.3294, 43.2900$ and $432.9400.$
View full question & answer→Question 442 Marks
Convert the following sets of unlike decimals to like decimal: $2.02, 3.2$
AnswerOf the two given decimals, $2.02$ has more decimal places, i.e., two, so we change $3.2$ so that it has two decimal places. Therefore, the like decimals are $2.02$ and $3.20.$
View full question & answer→Question 452 Marks
Express as metres $(m)$ using decimals:
$3\ m\ 65\ cm$
AnswerWe know that $100\ cm = 1m$
Therefore $1\text{cm}=\frac{1}{100}\text{m}$
$3\text{m}\ \text{65}\ \text{cm}=3+\frac{65}{100}\text{m}$
$=3.65\text{m}$
View full question & answer→Question 462 Marks
Express the following fractions as decimals:
$18\frac{3}{24}$
Answer$18\frac{3}{24}=18+\frac{3}{24}$
$18+\frac{1}{8}=18+\frac{125\times1}{125\times8}$
$=18+\frac{125}{1000}=18.125$
View full question & answer→Question 472 Marks
Write the following decimals as fractions. Reduce the fractions to lowest form: $1.20$
Answer$=1+0.20$ $=1+20\ \text{hundredths}$ $=1+\frac{20}{100}$ $=\frac{100}{100}+\frac{20}{100}$ $=\frac{120}{100}$ $=\frac{6}{5}$
View full question & answer→Question 482 Marks
Convert the following decimals as fractions: $54.26$
Answer$=54+0.26$ $=54+\frac{26}{100}$ $=54+\frac{\frac{26}{2}}{\frac{100}{2}}$ $=54+\frac{13}{50}$ $=54\frac{13}{50}$ $=\frac{2713}{50}$
View full question & answer→Question 492 Marks
Express as Rupee (Rs) using decimals: $15$ paisa
AnswerWe know that $100$ paisa $= Rs. 1.$
Therefore, 1 paisa $=\text{Rs}.\frac{1}{100}$
$15$ paisa $=\frac{15}{100}=\text{Rs}.0.15$
View full question & answer→Question 502 Marks
Express as centimetre (cm) using decimals: $5\ mm$
AnswerWe know that $10\ mm = 1\ cm$
Therefore $1\text{mm}=\frac{1}{10}\text{cm}$
$5\text{mm}=\frac{5}{10}\text{cm}$
$=0.5\text{cm}$
View full question & answer→