7/8 inch as a Decimal

Answer

7/8 as a decimal can be written as 0.875. It is a terminating decimal, which means it ends and does not repeat infinitely.

Explanation

To convert 7/8 into a decimal, we will use the division method. Here's a step-by-step breakdown of the process:

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

Step 2: Divide 7 by 8. Since 7 is smaller than 8, we will add a decimal point in the quotient and continue the division.

Step 3: Consider 70 (by adding a 0 to 7 and placing a decimal point in the quotient). Divide 70 by 8.

Step 4: 8 goes into 70 eight times (8 × 8 = 64). Write 8 in the quotient place and subtract 64 from 70 to get a remainder of 6.

Step 5: Bring down another 0, making it 60. Divide 60 by 8.

Step 6: 8 goes into 60 seven times (8 × 7 = 56). Write 7 in the quotient place and subtract 56 from 60 to get a remainder of 4.

Step 7: Bring down another 0, making it 40. Divide 40 by 8.

Step 8: 8 goes into 40 five times (8 × 5 = 40), with no remainder.

The division process ends here, and the decimal representation of 7/8 is 0.875.

• Fraction: A numerical quantity that represents a part of a whole, consisting of a numerator and a denominator.
   
• Decimal: A number that uses the base ten system and includes a decimal point to separate the whole number 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.