**Decimals**

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

**Solution:**

On filling the given table, we have

**Question 2.Write the following decimals in the place value table:**

**(a)**19.4

**(b)**0.3

**(c)**10.6

**(d)**205

**Solution:**Let us make a common place value table, assigning appropriate place value to the digits in the given numbers. We have,

**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 hti red point eight

**Solution:****(a)** Seven-tenths = = 0.7**(b)** Two tens, 9 – tenths = 20 + = 20.9**(c)** Fourteen point six = 14.6**(d)** One Hundred and 2-ones = 1 x 100 + 0 x 10 + 2 x 1 + 0 x

= 100 + 0 + 2 = 102.0**(e)** Six hundred point eight = 600.8

**Question 4.Write each of the following as decimals:**

**Solution:**

**Question 5.Write the following decimals as fractions. Reduce the fractions to lowest form:**

**(a)**0.6

**(b)**2.5

**(c)**1.0

**(d)**3.8

**(e)**13.7

**(f)**21.2

**(g)**6.4

**Solution:**

**Question 6.Express the following as cm vising decimals:**

**(a)**2 mm

**(b)**30 mm

**(c)**116 mm

**(d)**4 cm 2mm

**(e)**162 mm

**(f)**83 mm

**Solution:**

**Question 7.Between which two whole numbers on the number line are the given numbers 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

**Solution:**

**Question 8.Show the following numbers on the number line.**

**(a)**0.2

**(b)**1.9

**(c)**1.1

**(d)**2.5

**Solution:(a)** Since 0.2 > 0 but <1. There are 2 tenth in it. Divide the unit length between 0 and 1 into 10 equal parts and take 2 parts as shown below. Thus, A represents 0.2.

**Since 1 < 1.9 < 2. Divide the unit length between 1 and 2 into 10 equal parts and take 9 parts as shown below. Thus, A represents 1.9.**

(b)

(b)

**Since 1 < 1.1 < 2. Divide the unit length between 1 and 2 into 10 equal parts and take 1 part as shown below. Thus, A represents 1.1.**

(c)

(c)

**Since 2 < 2.5 < 3. Divide the unit length between 2 and 3 into 10 equal parts and take 5 parts as shown below. Thus, A represents 2.5.**

(d)

(d)

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

**Solution:**

Since A lies between 0 and 1 and the unit length between 0 and 1 stands divided in 10 equal parts. Also A is at the 8th point.

Thus, A represents 0.8.

Since, B lies between 1 and 2 and the unit length between 1 and 2 stands divided in 10 equal parts. Also, B lies 3 points ahead of 1. Therefore, B represents 1.3.

Since C and D lies between 2 and 3 and the unit length between 2 and 3 stands divided between 2 and 3 in 10 equal parts. Also C and D respectively lies 2 and 9 points ahead of 2.

∴ C represents 2.2 and D represents 2.9.

**Question 10.(a)** The length of Ramesh’s notebook is 9 cm 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.

**Solution:(a)** Length of Ramesh’s notebook

**(b)**Length of gram plant