- 1/4 as a Decimal

Answer:

1/4 in decimals can be written as 0.25. It is a terminating decimal, indicating that it ends and does not repeat.

Explanation:

To get 1/4 in decimal, we will use the division method. Here, since 1 is smaller than 4, we will use the decimal method which will give us 0.25. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator. Here, the numerator (1) will be taken as the dividend and the denominator (4) will be taken as the divisor.

Step 2: As 1 is smaller than 4, it can't be divided, so we will use decimals. We will add 0 to the dividend, making 1 into 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we divide 10 by 4. Let's see how many times 4 fits into 10.

Step 4: 4 × 2 = 8, which is the nearest multiple of 4 that is less than 10. We will write 2 in the quotient place and subtract 8 from 10, giving us 2.

Step 5: Bring down another 0 in the dividend place, making it 20, and then divide by 4. Step 6: 4 × 5 = 20, so we write 5 in the quotient place. Subtracting 20 from 20 gives us 0. The division process ends, and the remainder is 0.

This shows that 1/4 as a decimal is 0.25, a terminating decimal.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.