Mathematics for Class 5: NCERT

To understand how to divide 0.2 by 4, we need to know the concept of division and decimal numbers.

Division:
Division is a mathematical operation that involves splitting a number into equal parts or groups. It is the inverse operation of multiplication. In division, we have a dividend, a divisor, and a quotient. The dividend is the number being divided, the divisor is the number we divide by, and the quotient is the result of the division.

Decimal Numbers:
Decimal numbers are numbers with a decimal point. The decimal point separates the whole number part from the fractional part. In decimal numbers, each place value is a power of 10. The place values to the right of the decimal point are tenths, hundredths, thousandths, and so on.

Now, let's divide 0.2 by 4.

Step 1: Write the Division Problem
0.2 ÷ 4

Step 2: Convert the Dividend to Whole Number
Since the divisor is a whole number, we need to convert the dividend (0.2) to a whole number by shifting the decimal point to the right. We move the decimal point one place to the right, and it becomes 2.

Step 3: Divide
2 ÷ 4 = 0.5

Step 4: Interpret the Result
The quotient of 0.2 ÷ 4 is 0.5. This means that if we divide 0.2 into 4 equal parts, each part will be 0.5.

Therefore, 0.2 ÷ 4 = 0.5.

Summary:
- Division is an operation that involves splitting a number into equal parts or groups.
- Decimal numbers have a decimal point that separates the whole number part from the fractional part.
- To divide 0.2 by 4, we convert 0.2 to a whole number by shifting the decimal point to the right, which becomes 2.
- Dividing 2 by 4 gives us a quotient of 0.5.
- The quotient of 0.2 ÷ 4 is 0.5, which means each part will be 0.5 if we divide 0.2 into 4 equal parts.