Maharashtra Board Class 5 Maths Chapter 9 Decimal Fractions Set 38 Solutions

Question 1. (1) 6.13
Answer: Six point one three.
Here 6 is in the units place. Hence, its place value is \(6 \times 1 = 6\)
1 is in tenths place. Hence, its place value is \(1 \times \frac{1}{10} = 0.1\)
3 is in the hundredths place. Its place value is \(3 \times \frac{1}{100} = 0.03\)
In simple words: For 6.13, 6 is in the units place, 1 is in the tenths place, and 3 is in the hundredths place. Each digit's value is determined by its position relative to the decimal point.

🎯 Exam Tip: Remember to identify the position of each digit (units, tenths, hundredths) to correctly determine its place value in a decimal fraction.

Question 2. (2) 48.84
Answer: Fourty eight point eight four
Place value of 4 is \(4 \times 10 = 40\) and of 8, it is \(8 \times 1 = 8\)
Place value of 8 is \(8 \times \frac{1}{10} = \frac{8}{10} = 0.8\)
Place value of 4 is \(4 \times \frac{1}{100} = \frac{4}{100} = 0.04\)
In simple words: For 48.84, the left '4' is 40 (tens), '8' is 8 (units), the first '8' after decimal is 0.8 (tenths), and the last '4' is 0.04 (hundredths).

🎯 Exam Tip: Pay close attention to the position of digits after the decimal point, as they represent tenths, hundredths, and so on, moving to the right.

Question 3. (3) 72.05
Answer: Seventy two point zero five
Place value of 7 is \(7 \times 10 = 70\) and of 2 is, it is \(2 \times 1 = 2\)
Place value of 5 is \(5 \times \frac{1}{100} = \frac{5}{100} = 0.05\)
In simple words: In 72.05, 7 is 70 (tens), 2 is 2 (units), 0 is 0 (tenths), and 5 is 0.05 (hundredths).

🎯 Exam Tip: Remember that a zero in a decimal place still holds a positional value, even if its numerical contribution is zero. For example, 0 in the tenths place means no tenths.

Question 4. (4) 3.4
Answer: Three point four.
Place value of 3 is \(3 \times 1 = 3\)
Place value of 4 is \(4 \times \frac{1}{10} = 0.4\)
In simple words: For 3.4, 3 is in the units place, making its value 3, and 4 is in the tenths place, making its value 0.4.

🎯 Exam Tip: Keep in mind that a single digit after the decimal represents tenths, two digits represent hundredths, and so on.

Question 5. (5) 0.59
Answer: Zero point five nine.
Place value of 5 is \(5 \times \frac{1}{10} = \frac{5}{10} = 0.5\)
Place value of 9 is \(9 \times \frac{1}{100} = \frac{9}{100} = 0.09\)
In simple words: In 0.59, the 0 is in the units place, 5 is in the tenths place (0.5), and 9 is in the hundredths place (0.09).

🎯 Exam Tip: When the unit digit is zero, clearly state "zero point" before describing the decimal part to ensure correct reading and understanding.

Use of Decimal Fractions

Sir: Now we will see how 24.50 equals 24 rupees and 50 paise. How many rupees is one paisa?
Sumit : 100 paise make one rupee, therefore, 1 paisa is one-hundredth of a rupee or 0.01 rupee.

Sir: And 50 paise are?
Sumit : 50 hundredths of a rupee, or 0.50 rupees, so 24.50 rupees is 24 rupees and 50 paise.
Sir: When a large unit of a certain quantity is divided into 10 or 100 parts to make smaller units, it is more convenient to write them in decimal form. As we just saw, 100 paise = 1 rupee. Similarly, 100 cm = 1 metre, so 75 cm = 0.75 m. 10 mm = 1 cm, so 1 mm = 0.1cm. 3 mm are 0.3 cm. 6.3 cm are 6 cm and 3 mm.

Now study the following table.

Decimal Fractions Problem Set 38 Additional Important Questions and Answers

Question 1. (1) 12.34
Answer: Twelve point three four.
Place value of 1 is \(1 \times 10 = 10\)
Place value of 2 is \(2 \times 1 = 2\)
Place value of 3 is \(3 \times \frac{1}{10} = 0.3\)
Place value of 4 is \(4 \times \frac{1}{100} = 0.04\)
In simple words: In 12.34, 1 represents tens (10), 2 represents units (2), 3 represents tenths (0.3), and 4 represents hundredths (0.04).

🎯 Exam Tip: When writing the place value, clearly show the multiplication by 10, 1, 1/10, or 1/100 to demonstrate understanding of the positional system.

Question 2. (2) 369.58
Answer: Three hundred sixty nine point five eight. Place value of 3, which is in the hundreds place is \(3 \times 100 = 300\)
Place value of 6, which is in the tens place is \(6 \times 10 = 60\)
Place value of 9, which is in the units place is \(9 \times 1 = 9\)
Place value of 5, which is in the tenths place is \(5 \times \frac{1}{10} = 0.5\)
Place value of 8, which is in the hundredths place is \(8 \times \frac{1}{100} = 0.08\)
In simple words: For 369.58, the 3 is 300, 6 is 60, 9 is 9, 5 is 0.5, and 8 is 0.08, each determined by its position from the decimal point.

🎯 Exam Tip: Ensure you correctly differentiate between whole number place values (hundreds, tens, units) and decimal place values (tenths, hundredths).

Question 3. (3) 5.5
Answer: Five point five.
Place value of 5, which is in the units place is \(5 \times 1 = 5\)
Place value of 5, which is in the tenths place is \(5 \times \frac{1}{10} = 0.5\)
In simple words: In 5.5, the first '5' is in the units place (value 5), and the second '5' is in the tenths place (value 0.5).

🎯 Exam Tip: Even if digits are the same, their place value changes drastically depending on their position relative to the decimal point.