Question 11 Mark
Fill in the place holders with the correct symbol > or <: $8.34$ ________ $8.43$
AnswerConverting the given decimals into like decimals, they become $8.34$ and $8.43.$ The whole-number parts of these numbers are equal.
So, we compare their tenths digits.
Clearly, $3$ tenths $< 4$ tenths
Hence, $8.34 < 8.43$
View full question & answer→Question 21 Mark
Fill in the blanks. $10ml = ...... 1$
Answer$10ml =$ 0.01
$10\text{mL}=\frac{1}{100}\ 1=0.01\text{L}$
View full question & answer→Question 31 Mark
$0.53$
Answer$0.53$ $=\frac{53}{1000}$
View full question & answer→Question 41 Mark
Using decimals, express: $8\ kg$ $640g$ in kilograms.
Answer$8\ kg$ $640g$ in kilograms, $8\frac{640}{1000}\text{kg}$ $=8.640\text{kg}$
View full question & answer→Question 51 Mark
Using decimals, express:
$270m$ in kilometres
Answer$270m$ in kilometres
$=\frac{270}{1000}\text{km}$
$=0.270\text{km}$
View full question & answer→Question 61 Mark
Convert the following into a fraction in its simplest form: $0.224$
Answer$0.224$ $=\frac{224}{1000}$ $=\frac{224\div8}{1000\div8}$ $=\frac{28}{125}$ $($Dividing by $8$, the $HCF$ of $224, 1000)$
View full question & answer→Question 71 Mark
Write the following in figures: Fifty-eight point six three.
Question 81 Mark
Write the following decimals in expanded form: $8.006$
Answer= $8$ ones + $0$ tenths + $0$ hundredths + $6$ thousandths $=8+\frac{0}{10}+\frac{0}{100}+\frac{6}{1000}$
View full question & answer→Question 91 Mark
Write the place value of digit in the following decimals: $5370. 34$
AnswerPlace value of $5 = 5000,$ Place value of $3 = 300,$ place value of $7 = 70,$ Place value of $0 = 0.$
View full question & answer→Question 101 Mark
Write $'T'$ for true and $'F'$ for false for the statements given below: $2.3, 3.41, 4.53, 5.61$ are examples of like decimals.
AnswerFalse.
In this case, every decimal should have $2$ decimals in order to be like decimals. But, $2.3$ has only $1$ decimal.
View full question & answer→Question 111 Mark
Arrange the following decimals in ascending order: $6.54, 6.45, 6.4, 6.5, 6.05$
AnswerConverting the given decimals into like decimals, we get them as
$6.54, 6.45, 6.40, 6.50, 6.05$
Clearly, $6.05 < 6.40 < 6.45 < 6.50 < 6.54$
View full question & answer→Question 121 Mark
Fill in the blanks. $16\ kg$ $5g = ...... kg$
Answer$16\ kg$ $5g$ $= 16.005\ kg$
$16\ kg$ $5g = (16 + 0.005)kg = 16.005\ kg$
View full question & answer→Question 131 Mark
Using decimals, express:
$6\ kg$ $8g$ in kilograms
Answer$6\ kg$ $8g$ in kilograms,
$6\frac{8}{1000}\text{kg}$
$=6.008\text{kg}$
View full question & answer→Question 141 Mark
$0.48$
Answer$0.48$
$=\frac{48}{100}$
$=\frac{48\div4}{100\div4}$
$=\frac{12}{25}$
(Dividing by $5$, the $HCF$ of $15, 100$)
View full question & answer→Question 151 Mark
Write the following in figures:
Point one seven three.
Question 161 Mark
Write $'T'$ for true and $'F'$ for false for the statements given below: $3.02 < 3.2$
AnswerTrue.
This is because after converting them into like decimals, we get $3.20 > 3.02$, which is true.
View full question & answer→Question 171 Mark
Using decimals, express: $9\ kg$ $37g$ in kilograms
Answer$9\ kg$ $37g$ in kilograms, $9\frac{37}{1000}\text{kg}$ $=9.037\text{kg}$
View full question & answer→Question 181 Mark
Write the following in figures: Nineteen point eight.
Question 191 Mark
Using decimals, express: $8g$ in kilograms
Answer$8g$ in kilograms $=\frac{8}{1000}\text{kg}$ $=0.008\text{kg}$
View full question & answer→Question 201 Mark
Write the place value of digit in the following decimals: $186.209$
AnswerPlace value of $1 = 100$,
Place value of $8 = 80$,
place value of $6 = 6$
Place value of $2=\frac{2}{10},$
Place value of $0=\frac{0}{100},$
place value of $9=\frac{9}{1000}$
View full question & answer→Question 211 Mark
$0.15$
Answer$0.15$ $=\frac{15}{100}$ $=\frac{15\div5}{100\div5}$ $=\frac{3}{20}$ (Dividing by $5$, the $HCF$ of $15, 100$)
View full question & answer→Question 221 Mark
Write $'T'$ for true and $'F'$ for false for the statements given below:
$\frac{341}{1000}=3.410$
AnswerFalse.
$\frac{341}{1000}=0.341$
This is because it is equal to $341$ thousandths.
View full question & answer→Question 231 Mark
Fill in the place holders with the correct symbol > or <: $12.06 ______ 12.006$
AnswerConverting the given decimals into like decimals, they become $12.06$ and $12.006$.
The whole number parts of these numbers are equal.
So, we compare their hundreds digits.
Clearly, $6$ hundreds $< 0$ hundreds. Hence, $12.06 > 12.006.$
View full question & answer→Question 241 Mark
Write the following in figures:
One hundred twenty-four point four two five.
Question 251 Mark
Write the place value of digit in the following decimals: $46.075$
AnswerPlace value of $4 = 40,$
Place value of $6 = 6,$
Place value of $0=\frac{0}{10},$
Place value of $7=\frac{7}{100},$
Place value of $5=\frac{5}{1000}$
View full question & answer→Question 261 Mark
Write the following decimals in expanded form: $0.97$ _______ $1.07$
AnswerThe given decimals are $0.97$ and $1.07$
Let us compare their whole-number parts.
Clearly, $0 < 1$ So,$0.97 < 1.07$
View full question & answer→Question 271 Mark
$0.6$
Answer$0.6$ $=\frac{6}{10}$ $=\frac{6\div2}{10\div2}$ $=\frac{3}{5}$ (Dividing by $2$, the $HCF$ of $6, 10$)
View full question & answer→Question 281 Mark
$.08$
Answer$.08$ $=\frac{8}{100}$ $=\frac{8\div4}{100\div4}$ $=\frac{2}{25}$ (Dividing by $4$, the $HCF$ of $7, 100$)
View full question & answer→Question 291 Mark
Using decimals, express:
$32$ paise in rupees
Answer$32$ paise in rupees
$=\frac{32}{100}\text{rupees}$
$=0.32\text{rupees}$
View full question & answer→Question 301 Mark
Using decimals, express: $3\ km$ $6m$ in kilometres
Answer$3\ km$ $6m$ in kilometres $=3\frac{6}{1000}\text{km}$ $=3.006\text{km}$
View full question & answer→Question 311 Mark
Write the following decimals in expanded form: $24.675$
Answer= $2$ hundreds + $8$ tens + $3$ ones + $6$ tenths + $1$ hundredths $=200+80+3+\frac{6}{10}+\frac{1}{100}$
View full question & answer→Question 321 Mark
Using decimals, express:
$15\ kg$ $850g$ in kilograms
Answer$15\ kg$ $850g$ in kilograms
$=\frac{15}{1000}\text{kg}$
$=15.850\text{kg}$
View full question & answer→Question 331 Mark
Arrange the following decimals in ascending order:$ 3.3, 3.303, 3.033, 0.33, 3.003$
AnswerConverting the given decimals into like decimals, we get them as,
$3.300, 3.303, 3.033, 0.330, 3.003$
Clearly, $0.330 < 3.003 <3.033 < 3.300 < 3.303$
View full question & answer→Question 341 Mark
Using decimals, express: $Rs. 9$ and $8$ paise in rupees
AnswerRs. $9$ and $8$ paise in rupees $=9\frac{8}{100}\text{rupees}$ $=9.08\text{rupees}$
View full question & answer→Question 351 Mark
Using decimals, express: $6m$ in kilometres
Answer$6m$ in kilometres $=\frac{6}{1000}\text{km}$ $=0.006\text{km}$
View full question & answer→Question 361 Mark
Write the following decimals in expanded form: $283.61$
Answer$=(2\times100)+(8\times10)+(3\times1)+\Big(6\times\frac{1}{10}\Big)+\Big(1\times\frac{1}{100}\Big)$
View full question & answer→Question 371 Mark
$.9$
View full question & answer→Question 381 Mark
Using decimals, express: $4\ km$ $365m$ in kilometres
Answer$4\ km$ $365m$ in kilometres $=4\frac{365}{1000}\text{km}$ $=4.365\text{km}$
View full question & answer→Question 391 Mark
Using decimals, express:
$5$ paise in rupees
Answer$5$ paise in rupees
$=\frac{5}{100}\text{rupees}$
$=0.05\text{rupees}$
View full question & answer→Question 401 Mark
Write the following decimals in expanded form: $4615.72$
Answer$= 4$ thousands + $6$ hundreds + $1$ tens + $5$ ones + $7$ tenths + $2$ hundredths
$=4000+600+10+5+\frac{7}{10}+\frac{2}{100}$
View full question & answer→Question 411 Mark
Write the following decimals in expanded form: $67.83$
Answer$=(6\times10)+(7\times1)+\Big(8\times\frac{1}{10}\Big)+\Big(3\times\frac{1}{100 }\Big)$
View full question & answer→Question 421 Mark
Using decimals, express: $540g$ in kilograms
Answer$540g$ in kilograms $=\frac{540}{1000}\text{kg}$ $=0.540\text{kg}$
View full question & answer→Question 431 Mark
Write $'T'$ for true and $'F'$ for false for the statements given below:
$6.2$ and $6.200$ are equivalent decimals.
View full question & answer→Question 441 Mark
Fill in the blanks.
$3.02, 4.75, 1.63$ are examples of ...... decimals.
Answer$3.02, 4.75, 1.63$ are examples of like decimals.
View full question & answer→Question 451 Mark
Using decimals, express: $35m$ in kilometres
Answer$35m$ in kilometres $=\frac{35}{1000}\text{km}$ $=0.035\text{km}$
View full question & answer→Question 461 Mark
Using decimals, express: $5\ km$ $87m$ in kilometres
Answer$5\ km$ $87m$ in kilometres $=5\frac{87}{1000}\text{km}$ $=5.087\text{km}$
View full question & answer→Question 471 Mark
Write the following decimals in expanded form: $0.294$
Answer$= 2$ tenths + $9$ hundredths + $4$ thousandths$=\frac{2}{10}+\frac{9}{100}+\frac{4}{1000}$
View full question & answer→Question 481 Mark
Using decimals, express: $8\ kg$ $96g$ in kilograms
Answer$8\ kg$ $96g$ in kilograms $=8\frac{96}{1000}\text{kg}$ $=8.096\text{kg}$
View full question & answer→Question 491 Mark
Write the following in figures: Four hundred four point zero four four.
Question 501 Mark
Write the following decimals in expanded form: $3.85$ ______ $3.805$
AnswerConverting the given decimals into like decimals, they become $3.85$ and $3.805$. The whole-number parts of these numbers are equal.
So, we compare their hundreds digits.
Clearly, $5$ hundreds $< 0$ hundreds.
Hence, $3.85 > 3.805.$
View full question & answer→Question 511 Mark
Write the following in figures:
Point zero one five.
Question 521 Mark
Write $'T'$ for true and $'F'$ for false for the statements given below: $3g = 0.003\ kg$
AnswerTrue.
$1\text{g}=\frac{1}{1000}\text{kg}$ $\therefore3\text{g}=\frac{3}{1000}=0.003\text{kg}$
View full question & answer→Question 531 Mark
Write the following in figures: Seven point seven six.
Question 541 Mark
Using decimals, express: $Rs. 18$ and $25$ paise in rupees
Answer$Rs. 18$ and $25$ paise in rupees $=18\frac{25}{1000}\text{rupees}$ $=18.25\text{rupees}$
View full question & answer→Question 551 Mark
Fill in the blanks. $1m = ...... km$
Answer$1m = 0.001\ km$
$1\text{m}=\frac{1}{1000}\text{km}=0.001\text{km}$
View full question & answer→Question 561 Mark
Fill in the blanks. $2m$ $8\ cm = ...... m$
Answer$2m$ $8\ cm = 2.08m$
$2m$ $8\ cm = (2 + 0.08)m = 2.08m$
View full question & answer→Question 571 Mark
Write the place value of digit in the following decimals:
$14.83$
AnswerPlace value of $1 = 10$, Place value of $4 = 4.$
Place value of $8=\frac{8}{10},$ Place value of $3=\frac{3}{100}$
View full question & answer→Question 581 Mark
Write the place value of digit in the following decimals: $275.269$
AnswerPlace value of $2 = 200,$
Place value of $7 = 70,$
plave value of $5 = 5$
Place value of $2=\frac{2}{10},$
Place value of $6=\frac{6}{100},$
Place value of $9=\frac{9}{100}$
View full question & answer→Question 591 Mark
Fill in the place holders with the correct symbol $>$ or $<: 7.608$ ______ $7.68$
AnswerConverting the given decimals into like decimals, they become $7.608$ and $7.68$.
The whole number parts of these numbers are equal.
So, we compare their hundreds digits.
Clearly, $0$ hundreds $< 8$ hundreds.
$7.608 < 7.68.$
View full question & answer→Question 601 Mark
Write the place value of digit in the following decimals:
$302.459$
AnswerPlace value of $3 = 300$,
Place value of $0 = 00,$
place value of $2 = 2$
Place value of $4=\frac{4}{10},$
Place value of $5=\frac{5}{100},$
Place value of $9=\frac{9}{1000}$
View full question & answer→Question 611 Mark
Convert the following into a fraction in its simplest form:
$0.125$
Answer $=\frac{125}{1000}$
$=\frac{125\div125}{1000\div125}$
$=\frac{1}{8}$
View full question & answer→Question 621 Mark
Fill in the place holders with the correct symbol $>$ or $<: 84.23$ ____ $76.35$
AnswerThe given decimals are $84.23$ and $76.35$
Let us compare their whole-number parts.
Clearly, $84 > 76$
So, $84.23 > 76.35$
View full question & answer→