Question 11 Mark
Convert the following into a fraction in its simplest form:
0.06
0.06
Answer
View full question & answer→$0.06=\frac{6}{100}=\frac{6\div2}{100\div2}=\frac{3}{50}$
Questions
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Question 21 Mark
Divide:
0.02 by 100
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
0.02 ÷ 100 = 0.0002
Question 31 Mark
Find the product:
0.003 × 100
0.003 × 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 × 100 = 0.3
0.003 × 100 = 0.3
Question 41 Mark
Find the product:
7.54 × 10
7.54 × 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 × 10 = 75.4
7.54 × 10 = 75.4
Question 51 Mark
Find the product:
2.9 × 100
2.9 × 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 × 100 = 290
2.9 × 100 = 290
Question 61 Mark
Divide:
131.6 by 10
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
131.6 ÷ 10 = 13.16
Question 71 Mark
Find the product:
6.83 × 100
6.83 × 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 × 100 = 683.0
6.83 × 100 = 683.0
Question 81 Mark
Convert the following into a decimals:
$\frac{47}{10}$
$\frac{47}{10}$
Answer
View full question & answer→$\frac{47}{10}=4.7$
Question 91 Mark
Divide:
4.7 by 100
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
4.1 ÷ 100 = 0.047
Question 101 Mark
Divide:
38.9 by 1000
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
38.9 ÷ 1000 = 0.0389
Question 111 Mark
Find the product:
4.8 × 1000
4.8 × 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 × 1000 = 4800
4.8 × 1000 = 4800
Question 121 Mark
Write "T" for true and "F" for false for the folllowing:
0.25 × 0.8 = 0.2
0.25 × 0.8 = 0.2
Answer
View full question & answer→True
Solution:
We have
0.25 × 0.8
Now, 25 × 8 = 200
Sum of decimal places in the given decimals = (2 +1) = 3
$\therefore$ 0.25 × 0.8 = 0.200 = 0.2
Solution:
We have
0.25 × 0.8
Now, 25 × 8 = 200
Sum of decimal places in the given decimals = (2 +1) = 3
$\therefore$ 0.25 × 0.8 = 0.200 = 0.2
Question 131 Mark
Find the product:
6.7314 × 1000
6.7314 × 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 × 1000 = 6731.4
6.7314 × 1000 = 6731.4
Question 141 Mark
Find the product:
0.006 × 1000
0.006 × 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 × 1000 = 60
0.06 × 1000 = 60
Question 151 Mark
Find the product:
0.7 × 10
0.7 × 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 × 10 = 7.0
0.7 × 10 = 7.0
Question 161 Mark
Write "T" for true and "F" for false for the folllowing:
0.4 × 0.4 × 0.4 = 0.64
0.4 × 0.4 × 0.4 = 0.64
Answer
View full question & answer→True
Solution:
We have
0.4 × 0.4 × 0.4
Now, 4 × 4 × 4 = 64
Sum of decimal places in the given decimals = (1 +1 +1) = 3
$\therefore$ 0.4 × 0.4 × 0.4 = 0.064
Solution:
We have
0.4 × 0.4 × 0.4
Now, 4 × 4 × 4 = 64
Sum of decimal places in the given decimals = (1 +1 +1) = 3
$\therefore$ 0.4 × 0.4 × 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
23.4 ÷ 100 = 0.234
Question 181 Mark
Divide:
0.58 by 100
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
0.58 ÷ 100 = 0.0058
Question 191 Mark
Find the product:0.032 × 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 × 10 = 0.32
0.032 × 10 = 0.32
Question 201 Mark
Evaluate:
$(0.05)^3$
$(0.05)^3$
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 = ________.
204 ÷ 0.17 = ________.
Answer
View full question & answer→204 ÷ 0.17 = 1200Solution:
$\frac{204}{0.17}=\frac{204\times100}{0.17\times100}$
$\frac{204\times100}{17}=12\times100=1200$
$\frac{204}{0.17}=\frac{204\times100}{0.17\times100}$
$\frac{204\times100}{17}=12\times100=1200$
Question 221 Mark
Divide:
43.2 by 6
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 × 0.05 = 0.25
0.5 × 0.05 = 0.25
Answer
View full question & answer→True
Solution:
We have
0.5 × 0.05
Now, 5 × 5 = 25
Sum of decimal places in the given decimals = ( 1 + 2) = 3
$\therefore$ 0.5 × 0.05 = 0.025
Solution:
We have
0.5 × 0.05
Now, 5 × 5 = 25
Sum of decimal places in the given decimals = ( 1 + 2) = 3
$\therefore$ 0.5 × 0.05 = 0.025
Question 241 Mark
Fill in the blanck:
0.47 × 5.3 = ________.
0.47 × 5.3 = ________.
Answer
View full question & answer→0.47 × 5.3 = 2.491
Solution:
First, we will multiply 47 by 53
$\ \ \ \ \ \ 47\\\ \times53\\\overline{\ \ \ \ 141}\\235\times\\\overline{\ \ 2491}$
$\therefore47\times53=2491$
Sum of decimal places in the given decimals = (2 + 1) = 3
$\therefore0.47\times5.3=2.491$
Solution:
First, we will multiply 47 by 53
$\ \ \ \ \ \ 47\\\ \times53\\\overline{\ \ \ \ 141}\\235\times\\\overline{\ \ 2491}$
$\therefore47\times53=2491$
Sum of decimal places in the given decimals = (2 + 1) = 3
$\therefore0.47\times5.3=2.491$
Question 251 Mark
Divide:
32.56 by 10
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
32.56 ÷ 10 = 3.256
Question 261 Mark
Convert the following into a decimals:
$\frac{3524}{1000}$
$\frac{3524}{1000}$
Answer
View full question & answer→$\frac{3524}{1000}=3.524$
Question 271 Mark
Convert the following into a fraction in its simplest form:
0.75
0.75
Answer
View full question & answer→$0.75=\frac{75}{100}=\frac{75\div25}{100\div25}=\frac{3}{4}$
Question 281 Mark
Divide:
1286.5 by 1000
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
1286.5 ÷ 1000 = 1.2865
Question 291 Mark
Fill in the blanck:
1.001 ÷ 14 = ________.
1.001 ÷ 14 = ________.
Answer
View full question & answer→1.001 ÷ 14 = 0.0715.Solution:
$\frac{1.001}{14}=0.0715$
$\frac{1.001}{14}=0.0715$
Question 301 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
2 ÷ 1000 = 0.002
Question 311 Mark
Divide:
0.34 by 10
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
0.34 ÷ 10 = 0.034
Question 321 Mark
Find the product:
0.08 × 100
0.08 × 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 × 100 = 8
0.08 × 100 = 8
Question 331 Mark
Evaluate:
$(0.04)^2$
$(0.04)^2$
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 341 Mark
Find the product:
73.92 × 10
73.92 × 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 × 10 = 739.2
73.92 × 10 = 739.2
Question 351 Mark
Evaluate:
$(0.3)^3$
$(0.3)^3$
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 361 Mark
Find the product:
2.397 × 100
2.397 × 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 × 100 = 239.7
2.397 × 100 = 239.7
Question 371 Mark
Divide:
137.2 by 100
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
137.2 ÷ 100 = 1.372
Question 381 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 391 Mark
Find the product:
3.65 × 19
3.65 × 19
Answer
View full question & answer→3.65 × 19 = 69.35 (Two place of decimal)
Question 401 Mark
Evaluate:
$(0.11)^2$
$(0.11)^2$
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 411 Mark
Find the product:
6.25 × 1000
6.25 × 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 × 1000 = 6250
6.25 × 1000 = 6250
Question 421 Mark
Divide:
0.3 by 100
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
0.3 ÷ 100 = 0.003
Question 431 Mark
Write "T" for true and "F" for false for the folllowing:
6cm = 0.06m
6cm = 0.06m
Answer
View full question & answer→FalseSolution:
$6\text{cm} = \Big(\frac{6}{100}\Big)\text{m}=0.06\text{m}$
$6\text{cm} = \Big(\frac{6}{100}\Big)\text{m}=0.06\text{m}$
Question 441 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 451 Mark
Find the product:
0.83 × 10
0.83 × 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 × 10 = 8.3
0.83 × 10 = 8.3
Question 461 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 × 18km = 1125.0km
Distance covered in 18 hours = 62.5 × 18km = 1125.0km
Question 471 Mark
Find the product:
36.73 × 48
36.73 × 48
Answer
View full question & answer→36.73 × 48 = 1763.04 (Two places of decimal)
Question 481 Mark
Write "T" for true and "F" for false for the folllowing:
0.35 ÷ 0.7 = 0.5
0.35 ÷ 0.7 = 0.5
Answer
View full question & answer→True
Solution:
We have
$0.35\div0.7=\frac{0.35}{0.7}$
$=\frac{0.35\times10}{0.7\times10}=\frac{3.5}{7}=0.5$
Solution:
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 491 Mark
Find the product:
0.6 × 100
0.6 × 100
Question 501 Mark
Convert the following into a decimals:
$\frac{156}{100}$
$\frac{156}{100}$
Answer
View full question & answer→$\frac{156}{100}=1.56$
Question 511 Mark
Find the product:
0.854 × 12
0.854 × 12
Answer
View full question & answer→0.854 × 12 = 10.2468 (Three place of decimal)
Question 521 Mark
Divide:
354.16 by 1000
354.16 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
354.16 ÷ 1000 = 0.35416
354.16 ÷ 1000 = 0.35416
Question 531 Mark
Convert the following into a decimals:
$\frac{2516}{100}$
$\frac{2516}{100}$
Answer
View full question & answer→$\frac{2516}{100}=25.16$
Question 541 Mark
Convert the following into a fraction in its simplest form:
0.285
0.285
Answer
View full question & answer→$0.285=\frac{285}{1000}=\frac{285\div5}{1000\div5}=\frac{57}{200}$
Question 551 Mark
Find the product:
84.003 × 10
84.003 × 10
Answer
View full question & answer→We know that by multiplying by 10, the decimal point is shifted one place to its right side.
84.003 × 10 = 840.03
84.003 × 10 = 840.03
Question 561 Mark
Find the product:
0.182 × 1000
0.182 × 1000
Answer
View full question & answer→We know that by multiplying a decimal by 1000, three places of decimal are shifted to its right.
0.182 × 1000 = 182
0.182 × 1000 = 182
Question 571 Mark
Evaluate:
$(1.2)^2$
$(1.2)^2$
Answer
View full question & answer→$(1.2)^2=1.2 \times 1.2=1.44$
$\{$ Sum of decimal places $=1+1=2\}$
$\{$ Sum of decimal places $=1+1=2\}$
Question 581 Mark
Find the product:
0.076 × 1000
0.076 × 1000
Answer
View full question & answer→We know that by multiplying a decimal by 1000, three places of decimal are shifted to its right.
0.076 × 1000 = 76
0.076 × 1000 = 76
Question 591 Mark
Divide:
60.48 by 12
60.48 by 12
Answer
View full question & answer→$60.48\text{ by }12=\frac{60.48}{12}=5.04$
Question 601 Mark
Find the product:
5.4 × 16
5.4 × 16
Answer
View full question & answer→5.4 × 16 = 86.4 (One place of decimal)
Question 611 Mark
Fill in the blanck:
$(0.05)^3=$ ________.
$(0.05)^3=$ ________.
Answer
View full question & answer→$(0.05)^3=\underline{ 0 . 0 0 0 1 2 5 }$
First, we will find the product $0.05 \times 0.05 \times 0.05$
Now, $5 \times 5 \times 5=125$
Sum of decimal places in the given decimals $=(2+2+2)=6$
So, the product must have six decimal places
$\therefore(0.05)^3=0.05 \times 0.05 \times 0.05=0.000125$
First, we will find the product $0.05 \times 0.05 \times 0.05$
Now, $5 \times 5 \times 5=125$
Sum of decimal places in the given decimals $=(2+2+2)=6$
So, the product must have six decimal places
$\therefore(0.05)^3=0.05 \times 0.05 \times 0.05=0.000125$
Question 621 Mark
Divide:
4.6 by 1000
4.6 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
4.6 ÷ 1000 = 0.0046
4.6 ÷ 1000 = 0.0046
Question 631 Mark
Divide:
0.08 by 10
0.08 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
0.08 ÷ 10 = 0.008
0.08 ÷ 10 = 0.008
Question 641 Mark
Divide:
0.062 by 10
0.062 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
0.062 ÷ 10 = 0.0062
0.062 ÷ 10 = 0.0062
Question 651 Mark
Evaluate:
$(1.5)^3$
$(1.5)^3$
Answer
View full question & answer→$(1.5)^3=1.5 \times 1.5 \times 1.5=3.375$
$\{Sum of decimal places$ $=1+1+1=3\}$
$\{Sum of decimal places$ $=1+1+1=3\}$
Question 661 Mark
Divide:
4.38 by 10
4.38 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
4.38 ÷ 10 = 0.438
4.38 ÷ 10 = 0.438
Question 671 Mark
Fill in the blanck: $(0.7)^2$ = ______.
Answer
View full question & answer→$(0.7)^2=\underline{ 0 . 4 9 }$
Solution:
$(0.7)^2=0.7 \times 0.7$
First, we will find the product $0.7 \times 0.7$
Now, $7 \times 7=49$
Sum of decimal places in the given decimals $=(1+1)=2$
So, the product must have two decimal places
$(0.7)^2=0.7 \times 0.7=0.49$
Solution:
$(0.7)^2=0.7 \times 0.7$
First, we will find the product $0.7 \times 0.7$
Now, $7 \times 7=49$
Sum of decimal places in the given decimals $=(1+1)=2$
So, the product must have two decimal places
$(0.7)^2=0.7 \times 0.7=0.49$
Question 681 Mark
Convert the following into a fraction in its simplest form:
0.8
0.8
Answer
View full question & answer→$0.8=\frac{8}{1}=\frac{8\div2}{10\div2}=\frac{4}{5}$