Question 12 Marks
Evaluate: 6.45 + (3.9 – 1.75)
Answer
$6.45 \div(3.9-1.75)=6.45 \div(3.90-1.75)$
$=6.45 \div 2.15=645 \div 215=3$
View full question & answer→$6.45 \div(3.9-1.75)=6.45 \div(3.90-1.75)$
$=6.45 \div 2.15=645 \div 215=3$
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Question 22 Marks
Evaluate: 0.72 ÷ 80 of 0.2
Answer
$0.72 \div 80$ of $0.2=0.72 \div 16.0$
$=0.72 \div 16=72 \div 1600=0.045$
View full question & answer→$0.72 \div 80$ of $0.2=0.72 \div 16.0$
$=0.72 \div 16=72 \div 1600=0.045$
Question 32 Marks
Evaluate: 0.72 of 80 ÷ 0.2
Answer
View full question & answer→0.72 of 80 ÷ 0.2 = 57.60 ÷ 0.2
= 57.6 ÷ 0.2 =576 ÷ 2 = 288
= 57.6 ÷ 0.2 =576 ÷ 2 = 288
Question 42 Marks
Evaluate: 4.8 ÷ 0.04 of 5
Answer
View full question & answer→4.8 ÷ 0.04 of 5 = 4.8 ÷ 0.20
= 4.8 ÷ 0.2 = 48 ÷ 2 = 24
= 4.8 ÷ 0.2 = 48 ÷ 2 = 24
Question 52 Marks
Evaluate: 5.6 – 1 .5 of 3.4
Answer
View full question & answer→5.6 – 1 .5 of 3.4
3.4
× 1.5
170
340
5.10
= 5.6 - 5.1 = 0.5
3.4
× 1.5
170
340
5.10
= 5.6 - 5.1 = 0.5
Question 62 Marks
Simplify, and write your answer correct to the nearest hundredths:
62.89 x 0.02
62.89 x 0.02
Answer
View full question & answer→62.89 x 0.02 = 1.2578 = 1.26
62.89
× 0.02
1.2578
62.89
× 0.02
1.2578
Question 72 Marks
Simplify, and write your answer correct to the nearest hundredths:
18 .35 x 1.2
18 .35 x 1.2
Answer
View full question & answer→18 .35 x 1.2 = 22.02
18.35
× 1.2
36.70
18350
22.020
18.35
× 1.2
36.70
18350
22.020
Question 82 Marks
Round off: 4.83,0.86,451 .943 and 9.08 to the nearest whole number.
Answer
View full question & answer→4.83 = 5,
0.86= 1,
451.943 = 452
9.08 = 9
0.86= 1,
451.943 = 452
9.08 = 9
Question 92 Marks
Round off: 0.627, 100.479, 0 065 and 0.024 to the nearest hundredths.
Answer
View full question & answer→0.627 = 0.63,
100.479 = 100.48
0.065 = 0.07,
0.024 = 0.02
100.479 = 100.48
0.065 = 0.07,
0.024 = 0.02
Question 102 Marks
Round off: 0 .07, 0.112, 3.59, 9.489 to the nearest tenths.
Answer
View full question & answer→0.07 = 0.1,
0.112 = 0.1
3.59 = 3.6,
9.489 = 9.5
0.112 = 0.1
3.59 = 3.6,
9.489 = 9.5
Question 112 Marks
Convert into vulgar fraction: $1 . \overline{28}$
Answer
$\begin{aligned} & 1 . \overline{28}=1+0 . \overline{28} \\ & =1+\frac{28-0}{99} \\ & =1+\frac{28}{99}=1 \frac{28}{99}\end{aligned}$
View full question & answer→$\begin{aligned} & 1 . \overline{28}=1+0 . \overline{28} \\ & =1+\frac{28-0}{99} \\ & =1+\frac{28}{99}=1 \frac{28}{99}\end{aligned}$
Question 122 Marks
Convert into vulgar fraction: $2 . \overline{23}$
Answer
$\begin{aligned} & 2 . \overline{23}=2+0 . \overline{23} \\ & =2+\frac{23-0}{99} \\ & =2+\frac{23}{99}=2 \frac{23}{99}\end{aligned}$
View full question & answer→$\begin{aligned} & 2 . \overline{23}=2+0 . \overline{23} \\ & =2+\frac{23-0}{99} \\ & =2+\frac{23}{99}=2 \frac{23}{99}\end{aligned}$
Question 132 Marks
Find whether the given division forms a terminating decimal or a non-terminating decimal:
12.5 ÷ 4
12.5 ÷ 4
Answer
View full question & answer→$
12.5 \div 4=3.125
$
Hence it is terminating decimal.
12.5 \div 4=3.125
$
Hence it is terminating decimal.
Question 142 Marks
Find whether the given division forms a terminating decimal or a non-terminating decimal:
6 ÷ 5
6 ÷ 5
Answer
$
6 \div 5=1.2
$
Hence it is terminating decimal
View full question & answer→$
6 \div 5=1.2
$
Hence it is terminating decimal
Question 152 Marks
Find whether the given division forms a terminating decimal or a non-terminating decimal:
3 ÷ 8
3 ÷ 8
Answer
$
3 \div 8=0.375
$
Hence it is terminating decimal.
View full question & answer→$
3 \div 8=0.375
$
Hence it is terminating decimal.
Question 162 Marks
Evaluate: (0.2)3 x 0.05
Answer
View full question & answer→$(0.2)^3 x 0.05$
⇒ 0.2 x 0.2 x 0.2 x 0.05
⇒ 0.008 x 0.05 = 0.00040
(Sum of decimal places = 5)
⇒ 0.2 x 0.2 x 0.2 x 0.05
⇒ 0.008 x 0.05 = 0.00040
(Sum of decimal places = 5)
Question 172 Marks
Evaluate:$(0.2)^3 \times 5$
Answer
View full question & answer→$(0.2)^3 \times 5$
⇒ 0.2 x 0.2 x 0.2 x 5
⇒ 0.08 x 5 = 0.40 or 0.4
(Sum of decimal places 1 + 1 + 1 = 3)
⇒ 0.2 x 0.2 x 0.2 x 5
⇒ 0.08 x 5 = 0.40 or 0.4
(Sum of decimal places 1 + 1 + 1 = 3)
Question 182 Marks
Evaluate: $(0.4)^3$
Answer
View full question & answer→$(0.4)^3$
⇒ 0.4 x 0.4 x 0.4
⇒ 0.16 x 0.4 = 0.064
(Sum of decimal places 1 + 1 + 1 = 3)
⇒ 0.4 x 0.4 x 0.4
⇒ 0.16 x 0.4 = 0.064
(Sum of decimal places 1 + 1 + 1 = 3)
Question 192 Marks
Evaluate: 0.3 x (0.5)$^2$
Answer
View full question & answer→0.3 x (0.5)$^2$
⇒ 0.3 x 0.5 x 0.5
⇒ 0.3 x 0.25 = 0.075
(Sum of decimal places 1 + 1 + 1 = 3)
⇒ 0.3 x 0.5 x 0.5
⇒ 0.3 x 0.25 = 0.075
(Sum of decimal places 1 + 1 + 1 = 3)
Question 202 Marks
Evaluate: (0.6)² x 0.5
Answer
View full question & answer→(0.6)² x 0.5
⇒ 0.6 x 0.6 x 0.5
⇒ 0.36 x 0.5 = 0.180 or 0.18
(Sum of decimal places = 1 + 1 + 1 = 3)
⇒ 0.6 x 0.6 x 0.5
⇒ 0.36 x 0.5 = 0.180 or 0.18
(Sum of decimal places = 1 + 1 + 1 = 3)
Question 212 Marks
Evaluate: 0.5 x 0.06 x 0.007
Answer
View full question & answer→0.5 x 0.06 x 0.007
0.007
× 0.06
0.00042
× 0.5
0.00021
(Sum of decimal places = 1 + 2 + 3 = 5)
∴ 0.5 x 0.06 x 0.007 = 0.00021
0.007
× 0.06
0.00042
× 0.5
0.00021
(Sum of decimal places = 1 + 2 + 3 = 5)
∴ 0.5 x 0.06 x 0.007 = 0.00021
Question 222 Marks
Evaluate: 6.3 ÷ (0.3)$^2$
Answer
View full question & answer→6.3 ÷ (0.3)$^2$ = 6.3 ÷ (0.3 × 0.3)
= 6.3 ÷ (0.09) = 630 ÷ 09
= 630 ÷ 9 = 70
= 6.3 ÷ (0.09) = 630 ÷ 09
= 630 ÷ 9 = 70
Question 232 Marks
Evaluate: 0.14616 ÷ 72
Answer
View full question & answer→$0.14616 \div 72=0.00203$
Question 242 Marks
Evaluate: 0.125 ÷ 25
Answer
$0.125 \div 25=0.005$
View full question & answer→$0.125 \div 25=0.005$
Question 252 Marks
Evaluate: 3.204 ÷ 9
Answer
$3.204 \div 9=0.356$
$\begin{aligned} & \text { 9) } \frac{0.356}{3.204} \\ & \frac{-27}{50} \\ & \frac{-45}{54} \\ & \begin{array}{r}-54 \\ x x \\ \hline\end{array} \\ & \end{aligned}$
View full question & answer→$3.204 \div 9=0.356$
$\begin{aligned} & \text { 9) } \frac{0.356}{3.204} \\ & \frac{-27}{50} \\ & \frac{-45}{54} \\ & \begin{array}{r}-54 \\ x x \\ \hline\end{array} \\ & \end{aligned}$
Question 262 Marks
Evaluate: 20.64 ÷ 16
Answer
$20.64 \div 16=1.29$
View full question & answer→$20.64 \div 16=1.29$
Question 272 Marks
Evaluate: 19.25 ÷ 25
Answer
$19.25 \div 25=0.77$
View full question & answer→$19.25 \div 25=0.77$
Question 282 Marks
Evaluate: 9.75 ÷ 5
Answer
$9.75 \div 5=1.95$
View full question & answer→$9.75 \div 5=1.95$
Question 292 Marks
Divide the given number by 10, 100, 1000 and 10000
(1.2)² x(0.9)²
(1.2)² x(0.9)²
Answer
View full question & answer→(1.2)² x (0.9)² = 1.2 x 1.2 x 0.9 x 0.9 = 1.44 x 0.81 = 1.1664
Now 1 .1664 + 10 = 0.11664,
1.1664 ÷ 100 = 0.011664,
1.1664 ÷ 1000 = 0.0011664,
1.1664 ÷ 10000 = 0.00011664
Now 1 .1664 + 10 = 0.11664,
1.1664 ÷ 100 = 0.011664,
1.1664 ÷ 1000 = 0.0011664,
1.1664 ÷ 10000 = 0.00011664
Question 302 Marks
Divide the given number by 10, 100, 1000 and 10000
0.848 x 3
0.848 x 3
Answer
View full question & answer→0.848 x 3 = 2.544 ,
Now 2.544 ÷ 10 = 0.2544,
2.544 ÷ 100 = 0-02544,
2-544 ÷ 1000 = 0-002544,
2-544 ÷ 10000 = 0-0002544
Now 2.544 ÷ 10 = 0.2544,
2.544 ÷ 100 = 0-02544,
2-544 ÷ 1000 = 0-002544,
2-544 ÷ 10000 = 0-0002544
Question 312 Marks
Divide the given number by 10, 100, 1000 and 10000
111.11
111.11
Answer
View full question & answer→111.11÷ 10= 11.111,
111.11÷ 100 = 1.1111,
111.11 ÷ 1000 = 0.11111,
111.11 ÷ 10000 = 0.011111
111.11÷ 100 = 1.1111,
111.11 ÷ 1000 = 0.11111,
111.11 ÷ 10000 = 0.011111
Question 322 Marks
Divide the given number by 10, 100, 1000 and 10000
0.125
0.125
Answer
View full question & answer→0.125 Now 0.125 + 10 = 0.0125,
0.125 ÷ 100 = 0-00125,
0.125 ÷1000 = 0.000125,
0.125 ÷ 10000 = 0.0000125
0.125 ÷ 100 = 0-00125,
0.125 ÷1000 = 0.000125,
0.125 ÷ 10000 = 0.0000125
Question 332 Marks
Divide the given number by 10, 100, 1000 and 10000
0.0906
0.0906
Answer
View full question & answer→0.0906 ÷ 10 = 0.00906,
0.0906 ÷ 100 = 0.000906,
0.0906 ÷ 1000 = 0.0090906,
0.0906 ÷ 10000 = 0.00000906
0.0906 ÷ 100 = 0.000906,
0.0906 ÷ 1000 = 0.0090906,
0.0906 ÷ 10000 = 0.00000906
Question 342 Marks
Divide the given number by 10, 100, 1000 and 10000
5.01
5.01
Answer
View full question & answer→5.01 ÷ 10 = 0.501,
5.01 ÷ 100 = 0.0501,
5.01 ÷1000 = 0.00501,
5.01 ÷ 10000 = 0.000501
5.01 ÷ 100 = 0.0501,
5.01 ÷1000 = 0.00501,
5.01 ÷ 10000 = 0.000501
Question 352 Marks
Divide the given number by 10, 100, 1000 and 10000
8.64
8.64
Answer
View full question & answer→8.64 ÷ 10 = 0.864,
8.64 ÷ 100 = 0.0864,
8.64 ÷ 1000 = 0.00864 and
8.64 ÷ 10000 = 0.000864
8.64 ÷ 100 = 0.0864,
8.64 ÷ 1000 = 0.00864 and
8.64 ÷ 10000 = 0.000864
Question 362 Marks
Divide the given number by 10, 100, 1000 and 10000
2.1
2.1
Answer
View full question & answer→2.1 ÷ 10 = 0.21,
2.1 ÷ 100 = 0.021,
2.1 ÷ 1000 = 0.0021 and
2.1 ÷10000 = 0.00021
2.1 ÷ 100 = 0.021,
2.1 ÷ 1000 = 0.0021 and
2.1 ÷10000 = 0.00021
Question 372 Marks
Evaluate: 0.894 x 87
Answer
View full question & answer→0.894 × 87 = 77.778
0.894
× 87
6258
71520
77.778
0.894
× 87
6258
71520
77.778
Question 382 Marks
Evaluate: 5.897 x 2.3
Answer
View full question & answer→5.897 × 2.3 = 13.5631
5.897
× 2.3
17691
117940
13.5631
5.897
× 2.3
17691
117940
13.5631
Question 392 Marks
Multiply: 0.568 by 6.4
Answer
View full question & answer→0.568 by 6.4 = 0.568 × 6.4 = 3.6352
0.568
× 6.4
2272
34080
3.6352
0.568
× 6.4
2272
34080
3.6352
Question 402 Marks
Multiply: 4.6 by 2.1
Answer
View full question & answer→4.6 by 2.1 = 4.6 × 2.1 = 9.66
4.6
× 2.1
4 6
9 2 ×
9.66
4.6
× 2.1
4 6
9 2 ×
9.66
Question 412 Marks
Multiply: 16.32 by 28
Answer
View full question & answer→16.32 by 28 = 16.32 × 28 = 456.96
16.32
× 28
130.56
326.40
456.96
16.32
× 28
130.56
326.40
456.96
Question 422 Marks
One dozen identical articles cost ₹ 5.96. Find the cost of each article.
Answer
View full question & answer→∴ Weight of one dozen articles = ₹45.96
One dozen = 12
∴ Cost of one article = 45.96 + 12 = ₹3.83
One dozen = 12
∴ Cost of one article = 45.96 + 12 = ₹3.83
Question 432 Marks
The product of two numbers is 211.2. If one of these two numbers is 16.5, find the other number.
Answer
View full question & answer→The product of two numbers $=211.2$
One number $=16.5$
$\therefore$ Second number $=211.2 \div 16.5$
$ \begin{aligned} & =\frac{211.2 \times 10}{16.5 \times 10} \\ & =\frac{2112}{165}=12.8 \end{aligned} $
One number $=16.5$
$\therefore$ Second number $=211.2 \div 16.5$
$ \begin{aligned} & =\frac{211.2 \times 10}{16.5 \times 10} \\ & =\frac{2112}{165}=12.8 \end{aligned} $
Question 442 Marks
Fifteen indentical articles weigh 31.50 kg. Find the weight of each article.
Answer
View full question & answer→Weight of 15 articles = 31.50 kg
∴ Weight of one article
= 31.50- 15 = 2.1 kg
∴ Weight of one article
= 31.50- 15 = 2.1 kg
Question 452 Marks
Evaluate: 0.01162 ÷ 0.14
Answer
$\begin{aligned} & 0.01162 \div 0.14 \\ & =\frac{0.01162 \times 100}{0.14 \times 100} \\ & =\frac{1.162}{14}=0.083\end{aligned}$
View full question & answer→$\begin{aligned} & 0.01162 \div 0.14 \\ & =\frac{0.01162 \times 100}{0.14 \times 100} \\ & =\frac{1.162}{14}=0.083\end{aligned}$
Question 462 Marks
Evaluate: 0.621 ÷ 0.3
Answer
$\begin{aligned} & 0.621 \div 0.3 \\ & =\frac{0.621 \times 10}{0.3 \times 10} \\ & =\frac{6.21}{3}=2.07\end{aligned}$
View full question & answer→$\begin{aligned} & 0.621 \div 0.3 \\ & =\frac{0.621 \times 10}{0.3 \times 10} \\ & =\frac{6.21}{3}=2.07\end{aligned}$
Question 472 Marks
Evaluate: 0.0072 ÷ 0.06
Answer
$\begin{aligned} & 0.0072 \div 0.06 \\ & =\frac{0.0072 \times 100}{0.06 \times 100} \\ & =\frac{0.72}{6}=0.12\end{aligned}$
View full question & answer→$\begin{aligned} & 0.0072 \div 0.06 \\ & =\frac{0.0072 \times 100}{0.06 \times 100} \\ & =\frac{0.72}{6}=0.12\end{aligned}$
Question 482 Marks
The cost of a pen is ₹56.15. Find the cost of 16 such pens.
Answer
View full question & answer→Cost of one pen = ₹ 56.15
∴ Cost of 16 pens
= ₹ 56.15 × 16 = ₹ 898.40
56.15
× 16
898.40
∴ Cost of 16 pens
= ₹ 56.15 × 16 = ₹ 898.40
56.15
× 16
898.40
Question 492 Marks
Find the difference between 6.85 and 0.685.
Answer
View full question & answer→Difference between 6.85 and 0.685
= 6.85 - 0.685 = 6.165
6.850
- 0.685
6.165
= 6.85 - 0.685 = 6.165
6.850
- 0.685
6.165
Question 502 Marks
Subtract the first number from the second:
0.845, 3.71
0.845, 3.71
Answer
View full question & answer→3.710 - 0.845 = 2.865
3.710
- 0.845
2.865
3.710
- 0.845
2.865