**GSEB Solutions for Class 6 Mathematics – Decimal Fraction**

GSEB SolutionsMathsScience

**Exercise**

**Solution 1:**

**Solution 2(1):**

**Solution 2(2):**

**Solution 2(3):**

**Practice – 1**

**Solution 1(1):**

**Solution 1(2):**

**Solution 1(3):**

**Solution 1(4):**

Any number multiplied by zero gives the product zero.

∴ 7.604 × 0 = 0

**Solution 1(5):**

**Solution 1(6):**

**Solution 1(7):**

**Solution 1(8):**

**Solution 2:**

**Practice – 2**

**Solution 1:**

1. 3.4 × 10 = 34

When a decimal fraction is multiplied by 10, the decimal point moves one place towards the right.

∴3.4 × 10 = 34

2. 0.5 × 10 = 5

When a decimal fraction is multiplied by 10, the decimal point moves one place towards the right.

∴0.5 × 10 = 5

3. 0.46 ×100 = 46

When a decimal fraction is multiplied by 100, the decimal point moves two places towards the right.

∴ 0.46 ×100 = 46

4. 2.97 × 10 = 29.7

When a decimal fraction is multiplied by 10, the decimal point moves two places towards the right.

∴2.97 × 10 = 29.7

5. 0.25 × 1000 = 250

When a decimal fraction is multiplied by 1000, the decimal point moves three places towards the right.

∴0.25 × 1000 = 250

6. 3.4 × 1000 = 3400

When a decimal fraction is multiplied by 1000, the decimal point moves three places towards the right.

∴3.4 × 1000 = 3400

7. 2.1 × 100 = 210

When a decimal fraction is multiplied by 100, the decimal point moves two places towards the right.

∴ 2.1 × 100 = 210

8. 2.24 × 100 = 224

When a decimal fraction is multiplied by 100, the decimal point moves two places towards the right.

∴ 2.24 × 100 = 224

**Practice – 3**

**Solution 1(1):**

**Solution 1(2):**

**Solution 1(3):**

**Solution 1(4):**

**Solution 1(5):**

**Solution 1(6):**

**Solution 1(7):**

**Solution 1(8):**

**Practice – 4**

**Solution 1:**

Note :

1. When a decimal fraction is divided by 10, the decimal point moves one place towards the left.

2. When a decimal fraction is divided by 100, the decimal point moves two places towards the left.

3. When a decimal fraction is divided by 1000, the decimal point moves three places towards the left.

1. 1.4 ÷ 10 = 0.14

2. 24.6 ÷ 100 = 0.246

3. 23.2 ÷ 100 = 0.232

4. 35.7 ÷ 1000 = 0.0357

5. 324.4 ÷ 100 = 3.244

6. 620.5 ÷ 1000 = 0.6205

7. 0.2 ÷ 10 = 0.02

8. 2 ÷ 100 = 0.02

**Practice – 5**

**Solution 1:**

**Solution 2:**

**Solution 3:**

Given:

Initial stock of potatoes = 12.500 kg

More potatoes bought = 15 kg

Quantity of Potatoes sold = 17.250 kg

Total stock of potatoes = (12.500 + 15) kg

12.500 kg

+ 15.000 kg

27.500 kg

∴Total stock of potatoes = 27.500 kg

Potatoes left with shopkeeper = (total stock – quantity sold) kg

Potatoes left with shopkeeper = (27.500 – 17.250) kg

27.500 kg

– 17.250 kg

10.250 kg

∴ Potatoes left with shopkeeper = 10.250 kg

**Solution 4:**

**Solution 5:**