Question 11 Mark
Convert the following into a fraction in its simplest form: $0.06$
Answer
View full question & answer→$0.06=\frac{6}{100}=\frac{6\div2}{100\div2}=\frac{3}{50}$
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Question 21 Mark
Divide: $0.02$ by $100$
Answer
View full question & answer→We know that decimal divided by $100$, the decimal point is shifted to the left by two place.
Therefore $0.02 ÷ 100 = 0.0002$
Therefore $0.02 ÷ 100 = 0.0002$
Question 31 Mark
Find the product: $0.003 \times 100$
Answer
View full question & answer→We know that by multiplying a decimal by $100$, two decimal points are shifted to it right side. $0.003 \times 100 = 0.3$
Question 41 Mark
Find the product:
$7.54 \times 10$
$7.54 \times 10$
Answer
View full question & answer→We know that by multiplying by $10$, the decimal point is shifted one place to its right side.
$7.54 \times 10 = 75.4$
$7.54 \times 10 = 75.4$
Question 51 Mark
Find the product: $2.9 \times 100$
Answer
View full question & answer→We know that by multiplying a decimal by $100$, two decimal points are shifted to it right side. $2.9 \times 100 = 290$
Question 61 Mark
Divide: $131.6$ by $10$
Answer
View full question & answer→We know that a decimal divided by $10$, the decimal point is shifted to the left by one place. Therefore $131.6 ÷ 10 = 13.16$
Question 71 Mark
Find the product: $6.83 \times 100$
Answer
View full question & answer→We know that by multiplying a decimal by $100$, two decimal points are shifted to it right side. $6.83 \times 100 = 683.0$
Question 81 Mark
Convert the following into a decimals: $\frac{47}{10}$
Answer
View full question & answer→$\frac{47}{10}=4.7$
Question 91 Mark
Divide: $4.7$ by $100$
Answer
View full question & answer→We know that decimal divided by $100$, the decimal point is shifted to the left by two place. Therefore $4.1 ÷ 100 = 0.047$
Question 101 Mark
Divide: $38.9$ by $1000$
Answer
View full question & answer→We know that a decimal divided by $1000$, the decimal point is shifted to the left by three places. Therefore $38.9 ÷ 1000 = 0.0389$
Question 111 Mark
Find the product:
$4.8 \times 1000$
$4.8 \times 1000$
Answer
View full question & answer→We know that by multiplying a decimal by $1000,$ three places of decimal are shifted to its right.
$4.8 \times 1000 = 4800$
$4.8 \times 1000 = 4800$
Question 121 Mark
Write $"T"$ for true and $"F"$ for false for the folllowing: $0.25 \times 0.8 = 0.2$
Answer
View full question & answer→True
We have $0.25 \times 0.8$ Now, $25 \times 8 = 200$
Sum of decimal places in the given decimals $= (2 +1) = 3$
$\therefore$ $0.25 \times 0.8 = 0.200 = 0.2$
We have $0.25 \times 0.8$ Now, $25 \times 8 = 200$
Sum of decimal places in the given decimals $= (2 +1) = 3$
$\therefore$ $0.25 \times 0.8 = 0.200 = 0.2$
Question 131 Mark
Find the product: $6.7314 \times 1000$
Answer
View full question & answer→We know that by multiplying a decimal by $1000$, three places of decimal are shifted to its right. $6.7314 \times 1000 = 6731.4$
Question 141 Mark
Find the product: $0.006 \times 1000$
Answer
View full question & answer→We know that by multiplying a decimal by $1000$, three places of decimal are shifted to its right. $0.06 \times 1000 = 60$
Question 151 Mark
Find the product: $0.7 \times 10$
Answer
View full question & answer→We know that by multiplying by $10$, the decimal point is shifted one place to its right side. $0.7 \times 10 = 7.0$
Question 161 Mark
Write $"T"$ for true and $"F"$ for false for the folllowing: $0.4 \times 0.4 \times 0.4 = 0.64$
Answer
View full question & answer→True
We have $0.4 \times 0.4 \times 0.4$ Now, $4 \times 4 \times 4 = 64$
Sum of decimal places in the given decimals$ = (1 +1 +1) = 3$
$\therefore$ $0.4 \times 0.4 \times 0.4 = 0.064$
We have $0.4 \times 0.4 \times 0.4$ Now, $4 \times 4 \times 4 = 64$
Sum of decimal places in the given decimals$ = (1 +1 +1) = 3$
$\therefore$ $0.4 \times 0.4 \times 0.4 = 0.064$
Question 171 Mark
Divide:
$23.4$ by $100$
$23.4$ by $100$
Answer
View full question & answer→We know that decimal divided by $100$, the decimal point is shifted to the left by two place.
Therefore $23.4 ÷ 100 = 0.234$
Therefore $23.4 ÷ 100 = 0.234$
Question 181 Mark
Divide: $0.58$ by $100$
Answer
View full question & answer→We know that decimal divided by $100$, the decimal point is shifted to the left by two place.
Therefore $0.58 ÷ 100 = 0.0058$
Therefore $0.58 ÷ 100 = 0.0058$
Question 191 Mark
Find the product:$0.032 \times 10$
Answer
View full question & answer→We know that by multiplying by $10$, the decimal point is shifted one place to its right side. $0.032 \times 10 = 0.32$
Question 201 Mark
Evaluate: $(0.05)^3$
Answer
View full question & answer→$(0.05)^3=0.05 \times 0.05 \times 0.05=0.000125$
$\{$ Sum of decimal places $=2+2+2=6\}$
$\{$ Sum of decimal places $=2+2+2=6\}$
Question 211 Mark
Fill in the blanck: $204 ÷ 0.17 =$ ________.
Answer
View full question & answer→$204 ÷ 0.17 = 1200$
$\frac{204}{0.17}=\frac{204\times100}{0.17\times100}$
$\frac{204\times100}{17}=12\times100=1200$
$\frac{204}{0.17}=\frac{204\times100}{0.17\times100}$
$\frac{204\times100}{17}=12\times100=1200$
Question 221 Mark
Divide: $43.2$ by $6$
Answer
View full question & answer→$43.2\text{ by }6=\frac{43.2}{6}=7.2$
Question 231 Mark
Write $"T"$ for true and $"F"$ for false for the folllowing:
$0.5 \times 0.05 = 0.25$
$0.5 \times 0.05 = 0.25$
Answer
View full question & answer→True
We have
$0.5 \times 0.05$
Now, $5 \times 5 = 25$
Sum of decimal places in the given decimals $= ( 1 + 2) = 3$
$\therefore$ $0.5 \times 0.05 = 0.025$
We have
$0.5 \times 0.05$
Now, $5 \times 5 = 25$
Sum of decimal places in the given decimals $= ( 1 + 2) = 3$
$\therefore$ $0.5 \times 0.05 = 0.025$
Question 241 Mark
Divide: $32.56$ by $10$
Answer
View full question & answer→We know that a decimal divided by $10$, the decimal point is shifted to the left by one place. Therefore $32.56 ÷ 10 = 3.256$
Question 251 Mark
Convert the following into a decimals: $\frac{3524}{1000}$
Answer
View full question & answer→$\frac{3524}{1000}=3.524$
Question 261 Mark
Convert the following into a fraction in its simplest form: $0.75$
Answer
View full question & answer→$0.75=\frac{75}{100}=\frac{75\div25}{100\div25}=\frac{3}{4}$
Question 271 Mark
Divide: $1286.5$ by $1000$
Answer
View full question & answer→We know that a decimal divided by $1000$, the decimal point is shifted to the left by three places.
Therefore $1286.5 ÷ 1000 = 1.2865$
Therefore $1286.5 ÷ 1000 = 1.2865$
Question 281 Mark
Fill in the blanck: $1.001 ÷ 14 =$ ________.
Answer
View full question & answer→$1.001 ÷ 14 = 0.0715.$
$\frac{1.001}{14}=0.0715$
$\frac{1.001}{14}=0.0715$
Question 291 Mark
Divide:
$2$ by $1000$
$2$ by $1000$
Answer
View full question & answer→We know that a decimal divided by $1000$, the decimal point is shifted to the left by three places.
Therefore $2 ÷ 1000 = 0.002$
Therefore $2 ÷ 1000 = 0.002$
Question 301 Mark
Divide: $0.34$ by $10$
Answer
View full question & answer→We know that a decimal divided by $10$, the decimal point is shifted to the left by one place.
Therefore $0.34 ÷ 10 = 0.034$
Therefore $0.34 ÷ 10 = 0.034$
Question 311 Mark
Find the product: $0.08 \times 100$
Answer
View full question & answer→We know that by multiplying a decimal by $100$, two decimal points are shifted to it right side. $0.08 \times 100 = 8$
Question 321 Mark
Evaluate: $(0.04)^2$
Answer
View full question & answer→$(0.04)^2=0.04 \times 0.04=0.0016$
$\{$ Sum of decimal places $=2+2=4\}$
$\{$ Sum of decimal places $=2+2=4\}$
Question 331 Mark
Find the product: $73.92 \times 10$
Answer
View full question & answer→We know that by multiplying by $10$, the decimal point is shifted one place to its right side.
$73.92 \times 10 = 739.2$
$73.92 \times 10 = 739.2$
Question 341 Mark
Evaluate: $(0.3)^3$
Answer
View full question & answer→$(0.3)^3=0.3 \times 0.3 \times 0.3=0.027$
$\{$ Sum of decimal places $=1+1+1=3\}$
$\{$ Sum of decimal places $=1+1+1=3\}$
Question 351 Mark
Find the product: $2.397 \times 100$
Answer
View full question & answer→We know that by multiplying a decimal by $100$, two decimal points are shifted to it right side. $2.397 \times 100 = 239.7$
Question 361 Mark
Divide: $137.2$ by $100$
Answer
View full question & answer→We know that decimal divided by $100,$ the decimal point is shifted to the left by two place.
Therefore $137.2 ÷ 100 = 1.372$
Therefore $137.2 ÷ 100 = 1.372$
Question 371 Mark
Divide:
$0.8$ by $1000$
$0.8$ by $1000$
Answer
View full question & answer→We know that a decimal divided by $1000$, the decimal point is shifted to the left by three places. Therefore
$0.8 ÷ 1000 = 0.0008$
$0.8 ÷ 1000 = 0.0008$
Question 381 Mark
Find the product:
$3.65 \times 19$
$3.65 \times 19$
Answer
View full question & answer→$3.65 \times 19 = 69.35$ (Two place of decimal)
Question 391 Mark
Evaluate: $(0.11)^2$
Answer
View full question & answer→$(0.11)^2=0.11 \times 0.11=0.0121$
$\{$ Sum of decimal places $=2+2=4\}$
$\{$ Sum of decimal places $=2+2=4\}$
Question 401 Mark
Find the product: $6.25 \times 1000$
Answer
View full question & answer→We know that by multiplying a decimal by $1000$, three places of decimal are shifted to its right. $6.25 \times 1000 = 6250$
Question 411 Mark
Divide: $0.3$ by $100$
Answer
View full question & answer→We know that decimal divided by $100$, the decimal point is shifted to the left by two place.
Therefore $0.3 ÷ 100 = 0.003$
Therefore $0.3 ÷ 100 = 0.003$
Question 421 Mark
Write $"T"$ for true and $"F"$ for false for the folllowing: $6\ cm = 0.06m$
Answer
View full question & answer→False
$6\text{cm} = \Big(\frac{6}{100}\Big)\text{m}=0.06\text{m}$
$6\text{cm} = \Big(\frac{6}{100}\Big)\text{m}=0.06\text{m}$
Question 431 Mark
Evaluate:
$(0.7)^2$
$(0.7)^2$
Answer
View full question & answer→$(0.7)^2=0.7 \times 0.7=0.49$
$\{$ Sum of decimal places $=1+1=2\}$
$\{$ Sum of decimal places $=1+1=2\}$
Question 441 Mark
Find the product: $0.83 \times 10$
Answer
View full question & answer→We know that by multiplying by $10$, the decimal point is shifted one place to its right side. $0.83 \times 10 = 8.3$
Question 451 Mark
A bus can cover $62.5km$ in one hour. How much distance can it cover in $18$ hours?
Answer
View full question & answer→Distance covered in one hour $= 62.5km$
Distance covered in $18$ hours $= 62.5 \times 18km$
$= 1125.0km$
Distance covered in $18$ hours $= 62.5 \times 18km$
$= 1125.0km$
Question 461 Mark
Find the product: $36.73 \times 48$
Answer
View full question & answer→$36.73 \times 48 = 1763.04$ (Two places of decimal)
Question 471 Mark
Write $"T"$ for true and $"F"$ for false for the folllowing: $0.35 ÷ 0.7 = 0.5$
Answer
View full question & answer→True
We have $0.35\div0.7=\frac{0.35}{0.7}$
$=\frac{0.35\times10}{0.7\times10}=\frac{3.5}{7}=0.5$
We have $0.35\div0.7=\frac{0.35}{0.7}$
$=\frac{0.35\times10}{0.7\times10}=\frac{3.5}{7}=0.5$
Question 481 Mark
Find the product: $0.6 \times 100$
Answer
View full question & answer→We know that by multiplying a decimal by $100$, two decimal points are shifted to it right side. $0.6 \times 100 = 60$
Question 491 Mark
Convert the following into a decimals: $\frac{156}{100}$
Answer
View full question & answer→$\frac{156}{100}=1.56$
Question 501 Mark
Find the product: $0.854 \times 12$
Answer
View full question & answer→$0.854 \times 12 = 10.2468$ (Three place of decimal)