Comparing Decimal Numbers

Q.

Question 123

A student compared $-\frac{1}{4}$ and $-0.3$ he changed $-\frac{1}{4}$ to the decimal $-0.25$ and wrote, "since , $0.3$ is greater than $0.25$, so $-0.3$ is greater than $-0.25$". What was the students error?

Q.

$0.0398$ rounded to the nearest cent

Q. How is the decimal number 9.6 read ?

1. Nine six
2. Nine six tenths
3. Nine point six
4. Ninety six

Q.

Which of these is the smallest possible decimal fraction up to three decimal places?

1. 0.101

2. 0.010

3. 0.001

4. 0.011

Q. Which of the following lies between 0.754646 and 0.755646?

1. 0.756446
2. 0.756464
3. 0.756647
4. 0.755464

Q.

Which is greater 0.7or 0.5, . 7or 0.7, 0.8 or 0.88.

Q.

A bag contains 20 kg of potatoes. If of potatoes are sold, find the weight of remaining potatoes.

Q.

0.7 is smaller than

1. 0.07

2. 0.09

3. 0.5

4. 0.8

Q.

Find the simplified fraction of $39.24$.

Q.

Which value is greater among $0.7$and $0.09?$

Q. Round the following decimal numbers upto 3 place of decimal
(a) $24.4003$
(b) $1251.2345$
(c) $61.00203$

Q. The cost of $5\frac{1}{4}$ kg of mangoes is Rs 189. At what rate per kg are the mangoes being sold?

Q.

Which of the following is the smallest number that leaves a remainder of 5 when divided by 7, 15, 16 and 21?

1. 1500

2. 1680

3. 1600

4. 1685

Q.

In a surprise test, Sharanya scored 10.75 marks and Kamal scored 4.50 marks. What is the number obtained when we divide Sushweta's marks by Shreya's marks.

1. Shreya and by 6.25 marks.

2. Sushweta and by 6.25 marks.

3. Shreya and by 5.50 marks.

4. Sushweta and by 5.50 marks.

Q. $\frac{7}{4}$ converted to decimal form gives

1. 1.45
2. 1.55
3. 1.65
4. 1.75

Q. In mid-day meal scheme $\frac{3}{10}$ litre of milk is given to each student of a primary school. If 30 litres of milk is distributed every day in the school, how many students are there in the school?

Q.

A is 5.6 cm north of B, B is 4.4 cm north of C. If D is a point 15.77 cm south of A, how far is it from C?

1. 5.77 cm

2. 7.77 cm

3. 25.77 cm

4. 5.77 m

Q.

Which out of the following would be the greatest after converting to decimals :

$\frac{32}{6}$ , $\frac{64}{12}$, $\frac{128}{24}$, $\frac{256}{48}$

1. $\frac{256}{48}$

2. $\frac{128}{24}$

3. $\frac{64}{12}$

4. All are equal

Q. For a particular show in a circus, each ticket costs Rs $35\frac{1}{2}$. If 308 tickets are sold for the show, how much amount has been collected?

Q. Your office is 3 km to the west of your home and the club is 10 km to the east of your home. The distance beween the club and the office is

1. 13 km
2. 7 km
3. 30 km
4. 17 km

Q.

Solve the following:

The weights of vegetables brought to Farmers Co-operative Marketing Society are-beans 120.75kg, potatoes 208.90kg, pumpkin 210.55kg and tomatoes 96.45kg. Find the total weight of the vegetables.

Q. 600 have significant figures.

1. \N
2. 1
3. 2
4. 3

Q. One kg of rice costs Rs 42.65. What will be the cost of 18.25 kg of rice?

Q. The cost of Mathematics book is Rs $25\frac{3}{4}$ and that of Science book is Rs $20\frac{1}{2}$. Which costs more and by how much?

Q. Which ratio is larger in the following pairs?
(i) 3 : 4 or 9 : 16
(ii) 15 : 16 or 24 : 25
(iii) 4 : 7 or 5 : 8
(iv) 9 : 20 or 8 : 13
(v) 1 : 2 or 13 : 27

Q. Let $\overrightarrow{a}=2\hat{i}+\hat{j}-2\hat{k}and\overrightarrow{b}=\hat{i}+\hat{j}.$ If $\overrightarrow{c}$ is a vector such that $\overrightarrow{a}.\overrightarrow{c}=|\overrightarrow{c}|,|\overrightarrow{c}-\overrightarrow{a}|=2\sqrt{2}$ and the angle between $(\overrightarrow{a}\times \overrightarrow{b})and\overrightarrow{c}is{30}^{\circ },then|(\overrightarrow{a}\times \overrightarrow{b})\times \overrightarrow{c}|$ is equal to

1. $\frac{2}{3}$
2. $\frac{3}{2}$
3. $2$
4. $3$

Q. Solve and sort the result in ascending order. : (smallest on top)

1. $2.6\times 3.8$
2. $7.1\times 1.4$
3. $8\times 1.251$
4. $2.4\times 4.2$
5. $3.2\times 3.2$

Q. 20 chocolates cost Rs 320. Find the cost of 35 such chocolates.

Q. The cost of $6\frac{1}{4}\mathrm{kg}$ of apples is Rs 400. At what rate per kg are the apples being sold?

Q. Convert the fractions to decimal form and arrange them in ascending order. (Lower number comes at top)

1. $\frac{4}{5}$
2. $\frac{2}{3}$
3. $\frac{4}{3}$
4. $\frac{6}{10}$
5. $\frac{5}{2}$