Maharashtra Board Class 5 Maths Chapter 9 Decimal Fractions Set 42 Solutions

Question 1. Subtract the following :
(1) 25.74 - 13.42
Answer:
Solution:
25.74
-13.42
______
12.32

(2) 206.35 - 168.22
Answer:
Solution:
206.35
-168.22
______
38.13

(3) 63.4 - 31.8
Answer:
Solution:
63.4
-31.8
______
31.6

(4) 63.43 - 31.8
Answer:
Solution:
63.43
-31.80
______
31.63

(5) 63.4-31.83
Answer:
Solution:
63.40
-31.83
______
31.57

(6) 8.23 - 5.45
Answer:
Solution:
8.23
-5.45
______
2.78

(7) 18.23 - 9.45
Answer:
Solution:
18.23
-9.45
______
8.78

(8) 78.03 - 41.65
Answer:
Solution:
78.03
-41.65
______
36.38
In simple words: To subtract decimal fractions, align the decimal points vertically, add zeros if necessary to make the number of decimal places equal, and then subtract like whole numbers.

🎯 Exam Tip: Always ensure the decimal points are perfectly aligned before subtracting to avoid errors. Pay attention to borrowing across the decimal point when performing subtraction.

Question 2. Vrinda was 1.48 m tall. After a year, her height became 1.53 m. How many centimeters did her height increase in a year?
Answer:
1.53 m became after 1 year
-1.48 m height had
______
0.05 m height increased
\( \therefore \) 5 cm height has increased in a year.
In simple words: Vrinda's height increased by 0.05 meters, which is equivalent to 5 centimeters, in one year.

🎯 Exam Tip: Remember that 1 meter equals 100 centimeters. Convert the difference in meters to centimeters for the final answer to meet the question's requirement.

Something More

Decimals Used For Measurement

We need to measure distance, mass (weight) and volume every day. We use suitable units for these measurements. Kilometre, metre and centimeter for distance; litre, millilitre for volume and kilogram and gram for mass are the units that are used most of the time.

All these units are decimal units. In this method, gram, metre and litre are taken as the basic units for mass, distance and volume respectively. Units larger than these increase 10 times at every step and smaller units become \( \frac{1}{10} \) of the previous unit at each step.

Look at the table of these units given below.

The origin of the terms kilo, hecto... milli is in the Greek or Latin language. Their English equivalents are given in brackets along with the terms.

Decimal Fractions Problem Set 42 Additional Important Questions And Answers

Subtract The Following:

Question. (1) 304.17 - 95.28
Answer:
Solution:
304.17
-95.28
______
208.89
In simple words: This is a standard subtraction of two decimal numbers, requiring proper alignment of decimal points.

🎯 Exam Tip: When subtracting numbers with differing integer parts, ensure you align by the decimal point and handle any borrowing operations correctly from left to right.

Question. (2) 72.84 - 36.96
Answer:
Solution:
72.84
-36.96
______
35.88
In simple words: Perform direct subtraction after aligning the decimal points for these two decimal numbers.

🎯 Exam Tip: Double-check your subtraction, especially when borrowing is involved, as this is a common source of error in decimal arithmetic.

Question. (3) 9.17 - 5.88
Answer:
Solution:
9.17
-5.88
______
3.29
In simple words: This involves subtracting two decimal numbers with two decimal places each, requiring careful borrowing.

🎯 Exam Tip: Focus on the borrowing steps from the whole number part to the decimal part to ensure accuracy.

Question. (4) 100 - 49.99
Answer:
Solution:
100.00
-49.99
______
50.01
In simple words: To subtract a decimal from a whole number, represent the whole number with decimal places and then perform standard subtraction.

🎯 Exam Tip: Always write the whole number (e.g., 100) as 100.00 to match the number of decimal places in the subtrahend (49.99) for easier calculation.

Question. (5) Atul has Rs. 56.25 and Anup has Rs. 65. Whose amount is more? How much?
Answer:
Solution:

\( \therefore \) Anup's amount is more by Rs. 8.75
In simple words: Anup has Rs. 65.00 and Atul has Rs. 56.25; by subtracting Atul's amount from Anup's, we find that Anup has Rs. 8.75 more.

🎯 Exam Tip: Clearly identify who has the larger amount first, then subtract the smaller amount from the larger to find the difference. Convert currency symbols to "Rs." as required.