Class 7 Maths Chapter 3 Worksheet Solutions - A Peek Beyond the Point

Section A: Multiple Choice Questions

Q1:  On a number line, the segment between 3 and 4 is divided into 10 equal parts. Which decimal represents the 6th division after 3?
(a) 3.66
(b) 3.006
(c)
(d) 

Sol: Option d,
The segment from 3 to 4 is 1 unit, divided into 10 parts, so each part is 1/10 = 0.1Therefore the desired point is 3.6 and  = 3.6 upon solving
hence, option d is the right ans.

Q2: What is the decimal form of 4 ones, 7 tenths, and 2 hundredths?
(a) 4.72
(b) 47.2
(c) 4.072
(d)

Sol: Option a, 4.72
4 ones = 4, 
7 tenths = 7/10 = 0.7
2 hundredths = 2/100 = 0.02 
Total = 4+ 0.7 + 0.02 = 4.72 = Option A

Q3: Which of the following is the largest?

(a)

(b)

(c) 

(d)

Ans:  We have,

 

5.35 and 5.305
Out of all the numbers , 5.4 is the largest.
Hence,  is the largest among all the options.

Section B: Fill in the Blanks

Q4: The sum of and   (represented as mixed fraction is)

Ans:

Q5: The decimal 6.45 represents _____units and _____ hundredths. 

Ans: 6 units, 45 hundredths 
6.45 = 6 units + 4 tenths + 5 hundredths = 6 units + 45 hundredths (since 4 tenths = 40 hundredths).

Q6: In the sequence 4.2, 4.5, 4.8, …, the next term is _____ .

Ans: Each term increases by 0.3 (4.2 + 0.3 = 4.5, 4.5 + 0.3 = 4.8). 
Thus, 4.8 + 0.3 = 5.1.

Section C:  Conversion Questions (m to cm or cm to m)

Q7: 

Ans: 

Section D: Word Problems

Q8: Observe the sequence of numbers: Identify the pattern and find the next three terms

Sol: Each term increases by = 0.6
Next Terms are The next three terms are

Q9: A ribbon is meters long. How many centimeters is this?

Ans:

1 m = 100 cm
4.3 m = 4.3 × 100 = 430 cm
The ribbon is 430 centimeters long.

Q10: The length of Arjun’s forearm is units, and his upper arm is 2.6 units. What is the total length of his arm in decimal form?

Ans: Convert = 3.7 units. 
Total length = 3.7 + 2.6 = 6.3 units 
The total length of Arjun’s arm is 6.3 units.