NCERT Solutions (Extra Questions): Decimals

# NCERT Solutions for Class 8 Maths - (Extra Questions): Decimals

## Exercise 8.1

Question 1: Write the following numbers in the given table.

Question 2: Write the following decimals in the place value table.
(a) 19.4
(b) 0.3
(c) 10.6
(d) 205.9

Question 3: Write each of the following as decimals:
(a) Seven-tenths
(b) Two tens and nine-tenths
(c) Fourteen point six
(d) One hundred and two ones
(e) Six hundred point eight
(a) seven-tenths = 7/10 = 0.7
(b) 2 tens and 9-tenths
(c) Fourteen point six = 14.6
(d) One hundred and 2-ones = 100 + 2 x 1 = 100 + 2 = 102
(e) Six hundred point eight = 600.8

Question 4: Write each of the following as decimals:
(a) 5/10

(e) 88/10

(g) 3/2
(h) 2/5
(i) 12/5

= 8 + 0.8 = 8.8

Question 5: Write the following decimals as fractions. Reduce the fractions to lowest terms.
(a) 0.6
(b) 2.5
(c) 1.0
(d) 3.8
(e) 13.7
(f) 21.2
(g) 6.4

Question 6: Express the following as cm using decimals.
(a) 2 mm
(b) 30 mm
(c) 116 mm
(d) 4 cm 2 mm
(e) 162 mm
(f) 83 mm

Question 7: Between which two whole numbers on the number line are the given lie? Which of these whole numbers is nearer the number?

(a) 0.8
(b) 5.1
(c) 2.6
(d) 6.4
(e) 9.1
(f) 4.9
(a) From 0 to 1, 0.8 is nearest to 1.
(b) From 5 to 6, 5.1 is nearest to 5.
(c) From 2 to 3, 2.6 is nearest to 3.
(d) From 6 to 7, 6.4 is nearest to 6.
(e) From 9 to 10, 9.1 is nearest to 9.
(f) From 4 to 5, 4.9 is nearest to 5.

Question 8: Show the following numbers on the number line:
(a) 0.2
(b) 1.9
(c) 1.1
(d) 2.5

Question 9: Write the decimal number represented by the points A, B, C, D on the given number line.

Question 10:
(a) The length of Ramesh’s notebook is 9 cm and 5 mm. What will be its length in cm?
(b) The length of a young gram plant is 65 mm. Express its length in cm.

## Exercise 8.2

Question 1: Complete the table with the help of these boxes and use decimals to write the number.

Question 2: Write the numbers given in the following place value table in decimal form.

(a)
= 0 + 0 + 3 + 0.2 + 0.05 + 0 = 3.25
(b) 1 x 100 + 0 x 10 + 2 x 1 + 6 x (1/10) + 3 x 1/100 + 0 x (1/1000)
= 1 + 0 + 2 + 0.6 + 0.03 + 0 = 102.63
(c) 0 x 100 + 3 x 10 + 0 x 1 + 0 x (1/10) + 2 x 1/100 + 5 x (1/1000)
= 0 + 30 + 0 + 0 + 0.02 + 0.005 = 30.025
(d) 2 x 100 + 1 x 10 + 1 x 1 + 9 x 1/10 + 0 x 1/100 + 2 x (1/1000)
= 200 + 10 + 1 + 0.9 + 0 + 0.002 = 211.902
(e) 0 x 100 + 1 x 10 + 2 x 1 + 2 x 1/10 + 4 x 1/100 + 1 x (1/1000)
= 0 + 10 + 2 + 0.2 + 0.04 + 0.001 = 12.241

Question 3: Write the following decimals in the place value table:
(a) 0.29
(b) 2.08
(c) 19.60
(d) 148.32
(e) 200.812

Question 4: Write each of the following as decimals:
(a)
(b) 137 + (5/100)
(c)
(d)
(e)
(a) 20 + 9 + 0.4 + 0.01 = 29.41
(b) 137 + 0.05 = 137.05
(c) 0.7 + 0.06 + 0.004 = 0.764
(d) 23 + 0.2 + 0.006 = 23.206
(e) 700 + 20 + 5 + 0.09 = 725.09

Question 5: Write each of the following decimals in words:
(a) 0.03
(b) 1.20
(c) 108.56
(d) 10.07
(e) 0.032
(f) 5.008
(a) Zero point zero three
(b) One point two zero
(c) One hundred and eight point five six
(d) Ten point zero seven
(e) Zero point zero three two
(f) Five point zero zero eight

Question 6: Between which two numbers in tenths place on the number line does each of the given number lie?
(a) 0.06
(b) 0.45
(c) 0.19
(d) 0.66
(e) 0.92
(f) 0.57

Answer 6: (a) 0.60 lies between 0 and 0.1 in tenths place
(b) 0.45 lies between 0.4 and 0.5 in tenths place
(c) 0.19 lies between 0.1 and 0.2 in tenths place
(d) 0.66 lies between 0.6 and 0.7 in tenths place
(e) 0.92 lies between 0.9 and 1.0 in tenths place
(f) 0.57 lies between 0.5 and 0.6 in tenths place

Question 7: Write as fractions in lowest terms:
(a) 0.60
(b) 0.05
(c) 0.75
(d) 0.18
(e) 0.25
(f) 0.125
(g) 0.066

The document NCERT Solutions for Class 8 Maths - (Extra Questions): Decimals is a part of the Class 6 Course Mathematics (Maths) Class 6.
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## FAQs on NCERT Solutions for Class 8 Maths - (Extra Questions): Decimals

 1. What are decimals and how are they used in mathematics?
Ans. Decimals are a way of representing numbers that are not whole. They are used in mathematics to express fractions and to perform calculations involving precise values. Decimals are written with a decimal point, which separates the whole number part from the fractional part.
 2. How do you convert a decimal to a fraction?
Ans. To convert a decimal to a fraction, we need to identify the place value of the last digit after the decimal point. This digit represents the denominator of the fraction. The numerator is obtained by removing the decimal point and considering the remaining digits as the numerator. Simplify the fraction if possible.
 3. How do you compare decimals?
Ans. To compare decimals, start by comparing the whole number parts. If they are equal, compare the tenths place, then the hundredths place, and so on. If the digits in the corresponding places are equal, move on to the next place. The decimal with the larger digit in the first differing place value is greater. If all the digits are the same, the decimals are equal.
 4. How do you add and subtract decimals?
Ans. To add or subtract decimals, align the decimal points and then perform the addition or subtraction of the digits in each place value column. Carry over any excess or borrow when necessary. Finally, write the decimal point in the result at the same place as in the given decimals.
 5. How do you multiply and divide decimals?
Ans. To multiply decimals, ignore the decimal points and multiply the numbers as if they were whole numbers. Count the total number of digits after the decimal points in both numbers and place the decimal point in the product so that the total number of digits after the decimal point is equal to the sum of the counted digits. To divide decimals, move the decimal point in the divisor to the right until it becomes a whole number. Then move the decimal point in the dividend by the same number of places. Perform the division as if it were a whole number division. Finally, place the decimal point in the quotient by counting the number of decimal places in the dividend and divisor.

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