Question 12 Marks
Convert $4\frac{5}{8}$ into a decimal fraction.
Answer
View full question & answer→$4\frac{5}{8}=4+\frac{5}{8}=4+0.625=4.625$
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Question 22 Marks
What is to be subtracted from 13 to get 5.4?
Answer
View full question & answer→We subtract 5.4 from 13 in order to find the number that is to be subtracted from 13 to get 5.4.
Converting into like decimals and then subtracting:
$\ \ 13.0\\ \ \underline{-5.4}\\ \underline{\ \ \ \ 7.6}$
Thus, we need to subtract 7.6 from 13 to get 5.4.
Converting into like decimals and then subtracting:
$\ \ 13.0\\ \ \underline{-5.4}\\ \underline{\ \ \ \ 7.6}$
Thus, we need to subtract 7.6 from 13 to get 5.4.
Question 32 Marks
Convert the following as a mixed fraction:
$25.06$
$25.06$
Answer
View full question & answer→$25.06$
$=\frac{2506}{100}$
$=\frac{2506\div2}{100\div2}$
$=\frac{1253}{2}$
$=25\frac{3}{50}$
(Dividing by 2)
$=\frac{2506}{100}$
$=\frac{2506\div2}{100\div2}$
$=\frac{1253}{2}$
$=25\frac{3}{50}$
(Dividing by 2)
Question 42 Marks
Subtract:
39.875 from 70.68
39.875 from 70.68
Answer
View full question & answer→39.875 from 70.68
70.680 - 39.875
= 30.805
Working:
$\ \ \ 70.680\\ \underline{-39.875}\\ \underline{\ \ \ 30.805}$
70.680 - 39.875
= 30.805
Working:
$\ \ \ 70.680\\ \underline{-39.875}\\ \underline{\ \ \ 30.805}$
Question 52 Marks
Subtract:
149.456 from 206.321
149.456 from 206.321
Answer
View full question & answer→206.321 - 149.456
= 56.865
Working:
$\ \ \ 206.321\\ \underline{-149.456}\\ \underline{\ \ \ \ \ 56.865}$
= 56.865
Working:
$\ \ \ 206.321\\ \underline{-149.456}\\ \underline{\ \ \ \ \ 56.865}$
Question 62 Marks
Subtract:
27.86 from 53.74
27.86 from 53.74
Answer
View full question & answer→27.86 from 53.74
= 53.74 - 27.86
= 25.88
Working:
$\ \ \ 53.74\\ \underline{-27.86}\\ \underline{\ \ \ 25.88}$
= 53.74 - 27.86
= 25.88
Working:
$\ \ \ 53.74\\ \underline{-27.86}\\ \underline{\ \ \ 25.88}$
Question 72 Marks
Subtract:
458.573 from 600
458.573 from 600
Answer
View full question & answer→600.000 - 458.573
= 141.427
Working:
$\ \ \ 600.000\\ \underline{-458.573}\\ \underline{\ \ \ 141.427}$
= 141.427
Working:
$\ \ \ 600.000\\ \underline{-458.573}\\ \underline{\ \ \ 141.427}$
Question 82 Marks
Add the following decimals:
9.6, 14.8, 37 and 5.9
9.6, 14.8, 37 and 5.9
Answer
View full question & answer→Converting the given decimals, we get
9.6, 14.8, 37.0, 5.9
Writing these decimals in column form and adding, we get:
$\ \ \ 9.6\\\ 14.8\\\ 37.0 \\ \underline{+5.9} \\\underline{\ 67.3\ }$
Hence, the sum of the given decimals is 67.3
9.6, 14.8, 37.0, 5.9
Writing these decimals in column form and adding, we get:
$\ \ \ 9.6\\\ 14.8\\\ 37.0 \\ \underline{+5.9} \\\underline{\ 67.3\ }$
Hence, the sum of the given decimals is 67.3
Question 92 Marks
Subtract:
0.612 from 3.4
0.612 from 3.4
Answer
View full question & answer→3.400 - 0.612
= 2.788
Working:
$\ \ \ 3.400\\ \underline{-0.612}\\ \underline{\ \ \ 2.788}$
= 2.788
Working:
$\ \ \ 3.400\\ \underline{-0.612}\\ \underline{\ \ \ 2.788}$
Question 102 Marks
Add 26.4, 163.05, 8.75 and 5.6
Answer
View full question & answer→Converting into like decimals and then adding:
$\ \ 26.40\\163.05\\ \ \ \ \ 8.75\\ \ \underline{+5.60}\\ \underline{203.80}$
$\ \ 26.40\\163.05\\ \ \ \ \ 8.75\\ \ \underline{+5.60}\\ \underline{203.80}$
Question 112 Marks
Convert the following as a mixed fraction:
$7.004$
$7.004$
Answer
View full question & answer→$7.004$
$=\frac{4275}{1000}$
$=\frac{7004\div4}{1000\div4}$
$=\frac{1751}{250}$
$=7\frac{1}{250}$
(Dividing by 4)
$=\frac{4275}{1000}$
$=\frac{7004\div4}{1000\div4}$
$=\frac{1751}{250}$
$=7\frac{1}{250}$
(Dividing by 4)
Question 122 Marks
Convert the following as a mixed fraction:
$6.4$
$6.4$
Answer
View full question & answer→$6.4$$=\frac{64}{10}$
$=\frac{64\div2}{10\div2}$
$=\frac{32}{6}$
$=6\frac{2}{5}$
(Dividing by 2, the HCF of 64, 10)
$=\frac{64\div2}{10\div2}$
$=\frac{32}{6}$
$=6\frac{2}{5}$
(Dividing by 2, the HCF of 64, 10)
Question 132 Marks
Convert the following into a decimal:
$\frac{1589}{100}$
$\frac{1589}{100}$
Answer
View full question & answer→$\frac{1589}{100}$ $=15.89$
Question 142 Marks
Write the following in decimals form:
$=700+30+1+\frac{8}{10}+\frac{4}{100}$
$=700+30+1+\frac{8}{10}+\frac{4}{100}$
Answer
View full question & answer→$=\frac{70000+3000+100+80+4}{100}$
$=\frac{79184}{100}$
$=791.84$
$=\frac{79184}{100}$
$=791.84$
Question 152 Marks
Convert the following into a decimal:
$\frac{23}{10}$
$\frac{23}{10}$
Answer
View full question & answer→$\frac{23}{10}$ $=2.3$
Question 162 Marks
Subtract:
64.98 from 103.87
64.98 from 103.87
Answer
View full question & answer→64.98 from 103.87
103.87 - 64.98
= 38.89
Working:
$\ 103.87\\ \underline{-64.98}\\ \underline{\ \ \ 38.89}$
103.87 - 64.98
= 38.89
Working:
$\ 103.87\\ \underline{-64.98}\\ \underline{\ \ \ 38.89}$
Question 172 Marks
By how much should 23.754 be increased to get 50?
Answer
View full question & answer→In order to get the required number, we have to subtract 23.754 from 50
Required number = 50 - 23.754
= 50.000 - 23.754
= 26.246
Working:
$\ \ \ \ {50.000}\\\ \underline{-23.754}\\\ \underline{\ \ \ 26.246}$
Required number = 50 - 23.754
= 50.000 - 23.754
= 26.246
Working:
$\ \ \ \ {50.000}\\\ \underline{-23.754}\\\ \underline{\ \ \ 26.246}$
Question 182 Marks
Convert the following into a decimal:
$\frac{5413}{1000}$
$\frac{5413}{1000}$
Answer
View full question & answer→$\frac{5413}{1000}$ $=5.413$
Question 192 Marks
Convert the following into a decimal:
$12\frac{3}{8}$
$12\frac{3}{8}$
Answer
View full question & answer→$12\frac{3}{8}$
$\frac{12\times8+3}{8}$
$\frac{96+3}{8}$
$\frac{99}{8}$
$=12.375$
$\frac{12\times8+3}{8}$
$\frac{96+3}{8}$
$\frac{99}{8}$
$=12.375$
Question 202 Marks
Convert the following into like decimals:
1.6, 0.07, 3.58, 2.9
1.6, 0.07, 3.58, 2.9
Answer
View full question & answer→In the given numbers, the maximum number of decimal places is 2. So, we convert each one of the given numbers into having 2 decimal places by annexing suitable number of zeros to the extreme right of the decimal part.
1.6 = 1.60, 0.07 = 0.07, 3.58 = 3.58, 2.9 = 2.90
Thus, 1.60, 0.07, 3.58, 2.90 are the required like decimals.
1.6 = 1.60, 0.07 = 0.07, 3.58 = 3.58, 2.9 = 2.90
Thus, 1.60, 0.07, 3.58, 2.90 are the required like decimals.
Question 212 Marks
Convert the following into like decimals:
0.6, 5.937, 2.36, 4.2
0.6, 5.937, 2.36, 4.2
Answer
View full question & 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.
0.6 = 0.600, 5.937 = 5.937, 2.36 = 2.360, 4.2 = 4.200
Thus, 0.600,5.937, 2.360, 4.200 are the required like decimals.
0.6 = 0.600, 5.937 = 5.937, 2.36 = 2.360, 4.2 = 4.200
Thus, 0.600,5.937, 2.360, 4.200 are the required like decimals.
Question 222 Marks
Add the following decimals:
18.6, 84.75, 8.345 and 9.7
18.6, 84.75, 8.345 and 9.7
Answer
View full question & answer→Converting the given decimals, we get
18.600, 84.750, 8.345, 9.700
Writing these decimals in column and adding, we get:
$\ 18.600\\\ 84.750\\\ \ \ 8.345 \\ \underline{+9.700} \\\underline{121.395\ }$
Hence, the sum of the given decimals is 121.395
18.600, 84.750, 8.345, 9.700
Writing these decimals in column and adding, we get:
$\ 18.600\\\ 84.750\\\ \ \ 8.345 \\ \underline{+9.700} \\\underline{121.395\ }$
Hence, the sum of the given decimals is 121.395
Question 232 Marks
Subtract:
56.8 from 204
56.8 from 204
Answer
View full question & answer→56.8 from 204
204.0 - 56.8
= 147
Working:
$\ 204.0\\ \underline{-56.8}\\ \underline{\ 147.2}$
204.0 - 56.8
= 147
Working:
$\ 204.0\\ \underline{-56.8}\\ \underline{\ 147.2}$
Question 242 Marks
Convert the following as a mixed fraction:
$3.108$
$3.108$
Answer
View full question & answer→$3.108$
$=\frac{3108}{1000}$
$=\frac{3108\div4}{1000\div4}$
$=\frac{777}{250}$
$=3\frac{27}{250}$
(Dividing by 4)
$=\frac{3108}{1000}$
$=\frac{3108\div4}{1000\div4}$
$=\frac{777}{250}$
$=3\frac{27}{250}$
(Dividing by 4)
Question 252 Marks
Write the following in decimals form:
$40+6+\frac{7}{10}+\frac{9}{100}$
$40+6+\frac{7}{10}+\frac{9}{100}$
Answer
View full question & answer→$=\frac{4000+600+70+9}{100}$$=\frac{4679}{100}$
$=46.79$
$=46.79$
Question 262 Marks
By how much should 84.5 be decreased to get 27.84?
Answer
View full question & answer→In order to get the required number, we should subtract 27.84 from 84.5
Required number = 84.5 - 27.84
= 84.50 - 27.84
= 56.66
Working:
$\ \ \ \ {84.50}\\\ \underline{-27.84}\\\ \underline{\ \ \ 56.66}$
Required number = 84.5 - 27.84
= 84.50 - 27.84
= 56.66
Working:
$\ \ \ \ {84.50}\\\ \underline{-27.84}\\\ \underline{\ \ \ 56.66}$
Question 272 Marks
Convert the following as a mixed fraction:
$16.5$
$16.5$
Answer
View full question & answer→$16.5$
$=\frac{165}{10}$
$=\frac{165\div5}{10\div5}$
$=\frac{33}{2}$
$=16\frac{1}{2}$
(Dividing by 5, the HCF of 165, 10)
$=\frac{165}{10}$
$=\frac{165\div5}{10\div5}$
$=\frac{33}{2}$
$=16\frac{1}{2}$
(Dividing by 5, the HCF of 165, 10)
Question 282 Marks
Arrange the following decimals in descending order:
3.3, 3.03, 30.3, 30.03, 3.003
3.3, 3.03, 30.3, 30.03, 3.003
Answer
View full question & answer→Converting the given decimals into like decimals, we get them as,
3.300, 3.030, 30.300, 30.030, 3.003
Clearly, 30.3 > 30.03 > 3.3 > 3.03 > 3.003
3.300, 3.030, 30.300, 30.030, 3.003
Clearly, 30.3 > 30.03 > 3.3 > 3.03 > 3.003
Question 292 Marks
Convert the following into a decimal:
$\frac{3}{40}$
$\frac{3}{40}$
Answer
View full question & answer→$\frac{3}{40}$ $=0.075$
Question 302 Marks
Subtract 0.528 from 3.2
Answer
View full question & answer→Converting into like decimals and then subtracting:
$\ \ \ \ 3.200\\ \ \underline{-0.528}\\ \underline{\ \ \ \ 2.672}$
$\ \ \ \ 3.200\\ \ \underline{-0.528}\\ \underline{\ \ \ \ 2.672}$
Question 312 Marks
Convert the following into a decimal:
$\frac{21415}{1000}$
$\frac{21415}{1000}$
Answer
View full question & answer→$\frac{21415}{1000}$ $=21.415$
Question 322 Marks
Convert the following as a mixed fraction:
$8.36$
$8.36$
Answer
View full question & answer→$8.36$
$=\frac{836}{100}$
$=\frac{836\div4}{100\div4}$
$=\frac{209}{25}$
$=8\frac{9}{25}$
(Dividing by 4, the HCF of 836, 100)
$=\frac{836}{100}$
$=\frac{836\div4}{100\div4}$
$=\frac{209}{25}$
$=8\frac{9}{25}$
(Dividing by 4, the HCF of 836, 100)
Question 332 Marks
Add the following decimals:
4.37, 9.638, 17.007 and 6.8
4.37, 9.638, 17.007 and 6.8
Answer
View full question & answer→Converting the given decimals, we get
4.370, 9.638, 17.007, 6.800
Writing these decimals in column and adding, we get:
$\ \ \ \ \ 4.370\\\ \ \ \ \ 6.800\\\ \ \ \ \ 9.638\\\\\\\underline{+17.007}\\\underline{\ \ \ 37.815\ }$
Hence, the sum of the given decimals is 37.815
4.370, 9.638, 17.007, 6.800
Writing these decimals in column and adding, we get:
$\ \ \ \ \ 4.370\\\ \ \ \ \ 6.800\\\ \ \ \ \ 9.638\\\\\\\underline{+17.007}\\\underline{\ \ \ 37.815\ }$
Hence, the sum of the given decimals is 37.815
Question 342 Marks
Add the following decimals:
23.7, 106.94, 68.9 and 29.5
23.7, 106.94, 68.9 and 29.5
Answer
View full question & answer→Converting the given decimals, we get
23.70, 106.94, 68.90, 29.50
Writing these decimals in column form and adding, we get:
$\ \ \ 23.70\\\ 106.94\\\ \ \ 68.90 \\ \underline{+29.50} \\\underline{\ 229.04\ }$
Hence, the sum of the given decimals is 229.04
23.70, 106.94, 68.90, 29.50
Writing these decimals in column form and adding, we get:
$\ \ \ 23.70\\\ 106.94\\\ \ \ 68.90 \\ \underline{+29.50} \\\underline{\ 229.04\ }$
Hence, the sum of the given decimals is 229.04
Question 352 Marks
Write the following in decimals form:
$500+70+8+\frac{3}{10}+\frac{1}{100}+\frac{6}{1000}$
$500+70+8+\frac{3}{10}+\frac{1}{100}+\frac{6}{1000}$
Answer
View full question & answer→$=\frac{500000+70000+800+300+10+6}{1000}$
$=\frac{578316}{1000}$
$=578.316$
$=\frac{578316}{1000}$
$=578.316$
Question 362 Marks
Write the following in decimals form:
$30+9+\frac{4}{100}+\frac{8}{1000}$
$30+9+\frac{4}{100}+\frac{8}{1000}$
Answer
View full question & answer→$30+9+\frac{4}{100}+\frac{8}{1000}$
$=39+0.04+0.008$
$=39.048$
$=39+0.04+0.008$
$=39.048$
Question 372 Marks
Convert the following into like decimals:
7.5, 64.23, 0.074
7.5, 64.23, 0.074
Answer
View full question & 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.
7.5 = 7.500, 64.23 = 64.230, 0.074 = 0.074
Thus, 7.500, 64.230, 0.074 are the required like decimals.
7.5 = 7.500, 64.23 = 64.230, 0.074 = 0.074
Thus, 7.500, 64.230, 0.074 are the required like decimals.
Question 382 Marks
Express 8m as kilometre using decimals.
Answer
View full question & answer→$1\text{m}=\frac{1}{1000}\text{km}$
$\therefore8\text{m}=\frac{8}{1000}\text{km}=0.008\text{km}$
$\therefore8\text{m}=\frac{8}{1000}\text{km}=0.008\text{km}$
Question 392 Marks
Convert the following into a decimal:
$\frac{7}{8}$
$\frac{7}{8}$
Answer
View full question & answer→$\frac{7}{8}$ $=0.875$
Question 402 Marks
Convert the following into a decimal:
$\frac{167}{100}$
$\frac{167}{100}$
Answer
View full question & answer→$\frac{167}{100}$ $=1.67$
Question 412 Marks
Arrange the following decimals in ascending order:
5.8, 7.2, 5.69, 7.14, 5.06
5.8, 7.2, 5.69, 7.14, 5.06
Answer
View full question & answer→Converting the given decimals into like decimals, we get them as,
5.80, 7.20, 5.69, 7.14, 5.06
Clearly, 5.06 < 5.69 < 5.80 < 7.14 < 7.20
5.80, 7.20, 5.69, 7.14, 5.06
Clearly, 5.06 < 5.69 < 5.80 < 7.14 < 7.20
Question 422 Marks
Arrange the following decimals in descending order:
2.7, 7.2, 2.27, 2.72, 2.02, 2.007
2.7, 7.2, 2.27, 2.72, 2.02, 2.007
Answer
View full question & answer→Converting the given decimals into like decimals, we get them as,
2.700, 7.200, 2.270, 2.720, 2.020, 2.007
Clearly, 7.2 > 2.72 > 2.7 > 2.27 > 2.02 > 2.007
2.700, 7.200, 2.270, 2.720, 2.020, 2.007
Clearly, 7.2 > 2.72 > 2.7 > 2.27 > 2.02 > 2.007
Question 432 Marks
Arrange the following decimals in descending order:
8.88, 8.088, 88.8, 88.08, 8.008
8.88, 8.088, 88.8, 88.08, 8.008
Answer
View full question & answer→Converting the given decimals into like decimals, we get them as,
8.880, 8.008, 88.800, 88.080, 8.008
Clearly, 88.8 > 88.08 > 8.88 > 8.088 > 8.008
8.880, 8.008, 88.800, 88.080, 8.008
Clearly, 88.8 > 88.08 > 8.88 > 8.088 > 8.008
Question 442 Marks
What is to be subtracted from 7.3 to get 0.862?
Answer
View full question & answer→In order to get the required numbers, we have to subtract 0.862 from 7.3
Required number = 7.3 - 0.862
= 7.300 - 0.862
= 6.438
Working:
$\ \ \ \ {7.300}\\\ \underline{-0.862}\\ \underline{\ \ \ \ 6.438}$
Required number = 7.3 - 0.862
= 7.300 - 0.862
= 6.438
Working:
$\ \ \ \ {7.300}\\\ \underline{-0.862}\\ \underline{\ \ \ \ 6.438}$
Question 452 Marks
Add the following decimals:
14.5, 0.038, 118.573 and 6.84
14.5, 0.038, 118.573 and 6.84
Answer
View full question & answer→Converting the given decimals, we get
14.500, 0.038, 118.573, 6.840
Writing these decimals in column and adding, we get:
$\ \ \ \ \ \ \ 0.038\\\ \ \ \ \ \ \ 6.840\\\ \ \ \ \ 14.500\\\\\\\underline{+118.573}\\\underline{\ \ \ 139.951\ }$
Hence, the sum of the given decimals is 139.951
14.500, 0.038, 118.573, 6.840
Writing these decimals in column and adding, we get:
$\ \ \ \ \ \ \ 0.038\\\ \ \ \ \ \ \ 6.840\\\ \ \ \ \ 14.500\\\\\\\underline{+118.573}\\\underline{\ \ \ 139.951\ }$
Hence, the sum of the given decimals is 139.951
Question 462 Marks
Arrange the following decimals in ascending order:
0.6, 6.6, 6.06, 66.6, 0.06
0.6, 6.6, 6.06, 66.6, 0.06
Answer
View full question & answer→Converting the given decimals into like decimals, we get them as,
0.60, 6.60, 6.06, 66.60, 0.06
Clearly, 0.06 < 0.60 < 6.06 < 6.60 < 66.60
0.60, 6.60, 6.06, 66.60, 0.06
Clearly, 0.06 < 0.60 < 6.06 < 6.60 < 66.60
Question 472 Marks
Convert the following into a decimal:
$\frac{19}{20}$
$\frac{19}{20}$
Answer
View full question & answer→$\frac{19}{20}$
$=0.95$
$=0.95$
Question 482 Marks
Add the following decimals:
28.9, 19.64, 123.697 and 0.354
28.9, 19.64, 123.697 and 0.354
Answer
View full question & answer→Converting the given decimals, we get
28.900, 19.640, 123.697, 0.354
Writing these decimals in column and adding, we get:
$\ \ \ \ \ \ \ 0.354\\\ \ \ \ \ 19.640\\\ \ \ \ \ 28.900\\\underline{+123.697}\\\underline{\ \ \ 172.591\ }$
Hence, the sum of the given decimals is 172.591
28.900, 19.640, 123.697, 0.354
Writing these decimals in column and adding, we get:
$\ \ \ \ \ \ \ 0.354\\\ \ \ \ \ 19.640\\\ \ \ \ \ 28.900\\\underline{+123.697}\\\underline{\ \ \ 172.591\ }$
Hence, the sum of the given decimals is 172.591
Question 492 Marks
Convert the following into a decimal:
$3\frac{3}{5}$
$3\frac{3}{5}$
Answer
View full question & answer→$3\frac{3}{5}$ $=\frac{3\times5+3}{5}$ $\frac{15+3}{5}$ $\frac{18}{5}$ $=3.6$
Question 502 Marks
Convert the following into a decimal:
$1\frac{4}{25}$
$1\frac{4}{25}$
Answer
View full question & answer→$1\frac{4}{25}$ $=\frac{1\times25+4}{25}$ $\frac{25+4}{25}$ $\frac{29}{25}$ $=1.16$