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Question 13 Marks
In the number line given below, what decimal numbers do the boxes labelled ‘u’, ‘v’, ‘w’, and ‘x’ represent?
Answer
There are 10 divisions between 6.1 and 6.6 , so each division is a tenth part of 0.5 or $\frac{5}{10}$, i.e., $\frac{5}{100}=0.05$ units. Therefore, the first division after 6.1 , denoted by V, represents the number 6.15 , while the fourth division, denoted by V, represents the number 6.3 , the seventh division, denoted by 'w', represents the number 6.45 , and the first division after 6.6 , denoted by ' x' represents the number 6.65 .
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Question 23 Marks
Ravi delivers 2.5 kg, 3.2 kg, and 4.1 kg of vegetables to a store in the first three days. In 7 days, he delivers 20 kg of vegetables. What is the total quantity of vegetables delivered in the last four days?
Answer
The total vegetables delivered in the first 3 days:
2.5 kg + 3.2 kg + 4.1 kg = 9.8 kg
Total vegetables delivered in 7 days = 20 kg (Given)
Vegetables delivered in the last 4 days = 20 kg – 9.8 kg = 10.2 kg
Ravi delivered 10.2 kg of vegetables in the last four days. 5.
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Question 33 Marks
Arrange the following numbers in descending order :
(a) 10.98, 10.089, 10.809, 10.908, 10.981
(b) 22.31, 22.13, 22.331, 22.313, 22.133
Answer
(a) We will write the given decimal numbers as:
10.980, 10.089, 10.809, 10.908, 10.981
Hence, the given decimals in descending order are:
10.981, 10.98, 10.908, 10.809, 10.089
(b) We will write the given decimal numbers as:
22.310, 22.130, 22.331, 22.313, 22.133
Hence, the given decimals in descending order are:
22.331, 22.313, 22.31, 22.133, 22.13
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Question 43 Marks
(a) Find the value of $7 \frac{9}{100}-3 \frac{5}{100}$ ?
(b) What will be the sum of $6 \frac{4}{10} \frac{8}{100}$ and $14 \frac{5}{10} \frac{3}{100}$ ?
Answer
(a)
$\begin{array}{r}
7 \frac{9}{100} \\
-3 \frac{5}{100} \\
\hline 4 \frac{4}{100}\end{array}$
(b)
$\begin{aligned} & 6 \frac{4}{10} \frac{8}{100}+14 \frac{5}{10} \frac{3}{100} \\ = & (6+14)+\left(\frac{4}{10}+\frac{5}{10}\right)+\left(\frac{8}{100}+\frac{3}{100}\right) \\ = & 20+\frac{9}{10}+\frac{11}{100}=20+\frac{9}{10}+\frac{10}{100}+\frac{1}{100} \\ = & 20+\frac{9}{10}+\frac{1}{10}+\frac{1}{100} \\ = & 20+\frac{10}{10}+\frac{1}{100}=20+1+\frac{1}{100}=21 \frac{1}{100}\end{aligned}$
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Question 53 Marks
The lengths of the body parts of an ant are as follows :
Head $=\left(1 \frac{4}{10}\right)$ units,
Thorax $=\left(2 \frac{6}{10}\right)$ units
Abdomen $=\left(3 \frac{7}{10}\right)$ units.
Image
Find its total length of the ant.
Answer
Total length of ant $=1 \frac{4}{10}+2 \frac{6}{10}+3 \frac{7}{10}$
$=(1+2+3)+\left(\frac{4}{10}+\frac{6}{10}+\frac{7}{10}\right)=6+\frac{17}{10}$
$\begin{array}{l}=6+\frac{10}{10}+\frac{7}{10} \\ =6+1+\frac{7}{10} \\ =7+\frac{7}{10}\end{array}$
So, the total length is 7 units and 7 one-tenths, i.e., $7 \frac{7}{10}$ units
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3 Marks Question - MATHS STD 7 Questions - Vidyadip