8/7 as a Decimal

Answer

8/7 in decimals can be written as approximately 1.142857. It is a recurring decimal, showing it will repeat a sequence of digits infinitely.

Explanation

To get 8/7 in decimal, we will use the division method. Here, since 8 is greater than 7, we can divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (7) will be taken as the divisor.

Step 2: Divide 8 by 7. Since 8 is greater than 7, we divide directly. First, 7 fits in 8 one time, so we write 1 in the quotient place and subtract 7 from 8, leaving a remainder of 1.

Step 3: Bring down a 0 to the remainder to make it 10 and continue the division.

Step 4: 7 fits in 10 once, so we write 1 in the quotient and subtract 7 from 10, leaving a remainder of 3.

Step 5: Bring down another 0 to make 30 and divide by 7. 7 fits in 30 four times (7 × 4 = 28), leaving a remainder of 2.

Step 6: Continue this process, bringing down zeros and dividing, noticing the sequence 142857 repeats. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for 8/7 as a decimal will be approximately 1.142857....

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

• Recurring Decimal: A decimal in which a sequence of digits repeats indefinitely.

• 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.