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: $25.06$
Answer
View full question & answer→$25.06$ $=\frac{2506}{100}$ $=\frac{2506\div2}{100\div2}$ $=\frac{1253}{2}$ $=25\frac{3}{50}$ (Dividing by $2$)
Question 42 Marks
Subtract: $39.875$ 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 $53.74$
Answer
View full question & answer→$27.86$ from $53.74 = 53.74 - 27.86 = 25.88$
Working: $\ \ \ 53.74\\ \underline{-27.86}\\ \underline{\ \ \ 25.88}$
Working: $\ \ \ 53.74\\ \underline{-27.86}\\ \underline{\ \ \ 25.88}$
Question 72 Marks
Subtract: $458.573$ from $600$
Answer
View full question & answer→$600.000 - 458.573 = 141.427$
Working: $\ \ \ 600.000\\ \underline{-458.573}\\ \underline{\ \ \ 141.427}$
Working: $\ \ \ 600.000\\ \underline{-458.573}\\ \underline{\ \ \ 141.427}$
Question 82 Marks
Add the following decimals: $9.6, 14.8, 37$ and $5.9$
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 $67.3$
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 $3.4$
Answer
View full question & answer→$3.400 - 0.612 = 2.788$
Working: $\ \ \ 3.400\\ \underline{-0.612}\\ \underline{\ \ \ 2.788}$
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: $6.4$
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 $103.87$
Answer
View full question & answer→$64.98$ from $103.87$ $103.87 - 64.98 = 38.89$
Working: $\ 103.87\\ \underline{-64.98}\\ \underline{\ \ \ 38.89}$
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: $12\frac{3}{8}$
Answer
View full question & answer→$12\frac{3}{8}$ $\frac{12\times8+3}{8}$ $\frac{96+3}{8}$ $\frac{99}{8}$ $=12.375$ 
Question 202 Marks
Convert the following into like decimals: $1.6, 0.07, 3.58, 2.9$
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.
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.
Question 212 Marks
Convert the following into like decimals: $0.6, 5.937, 2.36, 4.2$
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.
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.
Question 222 Marks
Add the following decimals: $18.6, 84.75, 8.345$ 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 $121.395$
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 $204$
Answer
View full question & answer→$56.8$ from $204 204.0 - 56.8 = 147$
Working: $\ 204.0\\ \underline{-56.8}\\ \underline{\ 147.2}$
Working: $\ 204.0\\ \underline{-56.8}\\ \underline{\ 147.2}$
Question 242 Marks
Convert the following as a mixed fraction: $3.108$
Answer
View full question & answer→$3.108$ $=\frac{3108}{1000}$
$=\frac{3108\div4}{1000\div4}$
$=\frac{777}{250}$
$=3\frac{27}{250}$ (Dividing by $4$)
$=\frac{3108\div4}{1000\div4}$
$=\frac{777}{250}$
$=3\frac{27}{250}$ (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→$=\frac{4000+600+70+9}{100}$
$=\frac{4679}{100}$
$=46.79$
$=\frac{4679}{100}$
$=46.79$
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: $16.5$
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 $165, 10$)
$=\frac{165\div5}{10\div5}$
$=\frac{33}{2}$ $=16\frac{1}{2}$ (Dividing by $5$, the $HCF$ of $165, 10$)
Question 282 Marks
Arrange the following decimals in descending order: $3.3, 3.03, 30.3, 30.03, 3.003$
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: $\frac{3}{40}$
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: $\ \ \ \ 3.200\\ \ \underline{-0.528}\\ \underline{\ \ \ \ 2.672}$
Question 312 Marks
Convert the following into a decimal: $\frac{21415}{1000}$
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 $6.8$
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 $37.815$
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: $500+70+8+\frac{3}{10}+\frac{1}{100}+\frac{6}{1000}$
Answer
View full question & answer→$=\frac{500000+70000+800+300+10+6}{1000}$ $=\frac{578316}{1000}$ $=578.316$
Question 362 Marks
Write the following in decimals form: $30+9+\frac{4}{100}+\frac{8}{1000}$
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: $7.5, 64.23, 0.074$
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.
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.
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: $\frac{7}{8}$
Answer
View full question & answer→$\frac{7}{8}$ $=0.875$
Question 402 Marks
Convert the following into a decimal: $\frac{167}{100}$
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: $2.7, 7.2, 2.27, 2.72, 2.02, 2.007$
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: $8.88, 8.088, 88.8, 88.08, 8.008$
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: $\ \ \ \ {7.300}\\\ \underline{-0.862}\\ \underline{\ \ \ \ 6.438}$
we have to subtract $0.862$ from $7.3$
Required number $= 7.3 - 0.862 = 7.300 - 0.862 = 6.438$
Working: $\ \ \ \ {7.300}\\\ \underline{-0.862}\\ \underline{\ \ \ \ 6.438}$
Question 452 Marks
Add the following decimals: $14.5, 0.038, 118.573$ 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 $139.951$
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: $\frac{19}{20}$
Answer
View full question & answer→$\frac{19}{20}$ $=0.95$ 
Question 482 Marks
Add the following decimals: $28.9, 19.64, 123.697 and 0.354$
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 $172.591$
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: $3\frac{3}{5}$
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→ $1\frac{4}{25}$ $=\frac{1\times25+4}{25}$ $\frac{25+4}{25}$ $\frac{29}{25}$ $=1.16$
Question 512 Marks
Add the following decimals:
$72.8, 7.68, 16.23$ and $0.7$
$72.8, 7.68, 16.23$ and $0.7$
Answer
View full question & 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 $97.41$
$72.80, 7.68, 16.23, 0.70$
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 $97.41$
Question 522 Marks
Subtract: $59.63$ from $92.4$
Answer
View full question & answer→$59.63$ from $92.4 92.40 - 59.63 = 32.77$
Working:$\ \ \ 92.40\\ \underline{-59.63}\\ \underline{\ \ \ 32.77}$
Working:$\ \ \ 92.40\\ \underline{-59.63}\\ \underline{\ \ \ 32.77}$
Question 532 Marks
What is to be added to $63.5$ to get $71$?
Answer
View full question & 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: $\ \ \ \ 71.0\\ \ \underline{-63.5}\\ \underline{\ \ \ \ \ \ 7.5}$
Converting into like decimals and then subtracting: $\ \ \ \ 71.0\\ \ \underline{-63.5}\\ \underline{\ \ \ \ \ \ 7.5}$
Question 542 Marks
Convert the following as a mixed fraction: $4.275$
Answer
View full question & answer→$4.275$ $=\frac{4275}{1000}$
$=\frac{4275\div25}{1000\div25}$
$=\frac{171}{40}$
$=4\frac{11}{40}$ (Dividing by $25$)
$=\frac{4275\div25}{1000\div25}$
$=\frac{171}{40}$
$=4\frac{11}{40}$ (Dividing by $25$)
Question 552 Marks
Express $6\ km\ 5m$ as $km$ using decimals.
Answer
View full question & answer→$1\text{m}=\frac{1}{1000}\text{km}$
$\therefore5\text{m}=\frac{5}{1000}\text{km}=0.005\text{km}$
$6\text{km}\ 5\text{m}=(6+0.005)\text{km}$
$=(6.005)\text{km}$
$\therefore5\text{m}=\frac{5}{1000}\text{km}=0.005\text{km}$
$6\text{km}\ 5\text{m}=(6+0.005)\text{km}$
$=(6.005)\text{km}$
Question 562 Marks
Arrange the following decimals in descending order: $7.3, 8.73, 73.03, 7.33, 8.073$
Answer
View full question & answer→Converting the given decimals into like decimals, we get them as,
$7.300, 8.730, 73.030, 7.330, 8.073$
Clearly, $73.03 > 8.730 > 8.073 > 7.33 > 7.3$
$7.300, 8.730, 73.030, 7.330, 8.073$
Clearly, $73.03 > 8.730 > 8.073 > 7.33 > 7.3$
Question 572 Marks
Write the following in decimals form:
$600+5+\frac{7}{100}+\frac{9}{1000}$
$600+5+\frac{7}{100}+\frac{9}{1000}$
Answer
View full question & answer→ $=\frac{600000+5000+70+9}{100}$
$=\frac{605079}{1000}$
$=605.079$
$=\frac{605079}{1000}$
$=605.079$
Question 582 Marks
Arrange the following decimals in descending order: $6.5, 6.05, 6.54, 6.4$ and $6.45$
Answer
View full question & 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 $6.05$
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 $6.05$
Question 592 Marks
Convert the following into like decimals: $2.5, 0.63, 14.08, 1.637$
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.
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.
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.
Question 602 Marks
Add the following decimals:
$8.236, 16.064, 63.8$ and $27.53$
$8.236, 16.064, 63.8$ and $27.53$
Answer
View full question & 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 $115.63$
$8.236, 16.064, 63.800, 27.530$
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 $115.63$
Question 612 Marks
Convert the following into a decimal:
$\frac{107}{250}$
$\frac{107}{250}$
Answer
View full question & answer→ $\frac{107}{250}$ $=0.428$
Question 622 Marks
Convert the following as a mixed fraction: $2.052$
Answer
View full question & answer→$2.052$ $=\frac{2052}{1000}$ $=\frac{2052\div4}{1000\div4}$ $=\frac{513}{250}$ $=2\frac{13}{250}$ (Dividing by $4$)
Question 632 Marks
Convert the following into a decimal: $\frac{37}{50}$
Answer
View full question & answer→$\frac{37}{50}$ $=0.74$
Question 642 Marks
Convert the following into a decimal: $5\frac{17}{50}$
Answer
View full question & answer→$5\frac{17}{50}$ $=\frac{5\times50+17}{50}$ $\frac{250+17}{50}$ $\frac{267}{50}$ $=5.34$
Question 652 Marks
What is to be added to $74.5$ to get $91$?
Answer
View full question & 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: $\ \ \ \ {91.0}\\\ \underline{-74.5}\\ \underline{\ \ \ \ 16.5}$
Required number$ = 91 - 74.5 = 91.0 - 74.5 = 16.5$
Working: $\ \ \ \ {91.0}\\\ \underline{-74.5}\\ \underline{\ \ \ \ 16.5}$
Question 662 Marks
Subtract: $348.237$ from $523.12$
Answer
View full question & answer→$523.120 - 348.237 = 174.883$
Working: $\ \ \ 523.120\\ \underline{-348.237}\\ \underline{\ \ \ 174.883}$
Working: $\ \ \ 523.120\\ \underline{-348.237}\\ \underline{\ \ \ 174.883}$
Question 672 Marks
Convert the following into a decimal: $\frac{25}{4}$
Answer
View full question & answer→$\frac{25}{4}$ $=6.25$
Question 682 Marks
Subtract: $127.38$ from $216.2$
Answer
View full question & answer→$127.38$ from $216.2 216.20 - 127.38 = 88.82$
Working: $\ \ \ 216.20\\ \underline{-127.38}\\ \underline{\ \ \ \ \ 88.82}$
Working: $\ \ \ 216.20\\ \underline{-127.38}\\ \underline{\ \ \ \ \ 88.82}$
Question 692 Marks
Express $105\ cm$ into metres using decimals.
Answer
View full question & answer→$1\text{cm}=\frac{1}{100}$
$\therefore105\text{cm}=\frac{105}{100}\text{m}$
$=\big(1+\frac{5}{100}\big)\text{m}$
$=(1+0.05)\text{m}=1.05\text{m}$
$\therefore105\text{cm}=\frac{105}{100}\text{m}$
$=\big(1+\frac{5}{100}\big)\text{m}$
$=(1+0.05)\text{m}=1.05\text{m}$
Question 702 Marks
Write the following in decimals form: $800+5+\frac{8}{10}+\frac{6}{1000}$
Answer
View full question & answer→$=\frac{800000+5000+800+6}{1000}$ $=\frac{805806}{1000}$ $=805.806$