1/28 as a Decimal

Answer:

1/28 in decimals can be written as approximately 0.035714. It is a repeating decimal, showing it will repeat a sequence of digits infinitely.

Explanation:

To convert 1/28 into a decimal, we will use the division method. Here, as 1 is smaller than 28, we will use the decimal method which will give us 0.035714. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (1) will be taken as the dividend and the denominator (28) will be taken as the divisor.

Step 2: As 1 is smaller than 28, it can't be divided, so we will use decimals. We will add 0 to the dividend, making it 10, and add a decimal point in the quotient place.

Step 3: Now that it is 10, we cannot divide 10 by 28, so we add another 0, making it 100. We continue to add zeros until we can divide.

Step 4: 100 divided by 28 is approximately 3 times (3×28=84). We write 3 in the quotient place and subtract 84 from 100, giving 16.

Step 5: Bring down another 0 in the dividend place, making it 160, and then repeat the division process. The division process continues, and we get a repeating sequence of digits.

The answer for 1/28 as a decimal will be approximately 0.035714285714...

• 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.

• Repeating Decimal: A decimal in which a sequence of digits repeats infinitely.