-3 1/8 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: the numerator (number on the top), here, 1, represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent a number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is -3 1/8 as a decimal?

$-3 1/8 as a decimal$

Answer

-3 1/8 in decimals can be written as -3.125. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert -3 1/8 to a decimal, we will separate the whole number and the fractional part. The whole number is -3. For the fractional part, 1/8, we'll use division.

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

Step 2: Perform the division: 1 ÷ 8 = 0.125. Step 3: Combine the whole number with the decimal fraction, resulting in -3 + 0.125 = -3.125.

Important Glossaries for -3 1/8 as a 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.
Mixed Number: A whole number and a fraction combined into one "mixed" number.
Terminating Decimal: A decimal that ends and does not repeat infinitely.
Dividend: The number being divided in a division operation.