7/8 inch as a Decimal

Professor Greenline Explaining Math Concepts

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This is a straightforward question on decimal conversion. Firstly, we need to understand fractions and decimals. A fraction represents a part of a whole. It consists of two parts: the numerator (the number on top), which represents how many parts of the whole we have, and the denominator (the number below), which shows how many parts make up the whole. In this case, the numerator is 7, and the denominator is 8. A decimal is a way to represent numbers that are not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 7/8 as a decimal?

$7/8 inch as a decimal$ 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.

Important Glossaries for 7/8 as a decimal

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.