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: