-8 3/16 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to learn about mixed numbers and decimals. A mixed number combines a whole number with a fraction. In the mixed number -8 3/16, -8 is the whole number, and 3/16 is the fraction. A decimal is a way to represent a number that is 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 -8 3/16 as a decimal?

$-8 3/16 as a decimal$

Answer

-8 3/16 as a decimal can be written as -8.1875. The conversion of the fractional part 3/16 results in a terminating decimal.

Explanation

To convert -8 3/16 into a decimal, we first convert the fraction 3/16 into a decimal and then combine it with the whole number.

Step 1: Identify the fraction 3/16.

Step 2: Divide the numerator (3) by the denominator (16) to get the decimal form of the fraction.

Step 3: 3 divided by 16 equals 0.1875. Step 4: Combine -8 with the decimal obtained from the fraction: -8 + 0.1875 = -8.1875.

Thus, -8 3/16 as a decimal is -8.1875.

Important Glossaries for -8 3/16 as a Decimal

Mixed Number: A number consisting of a whole number and a fraction.
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.
Terminating Decimal: A decimal that ends and does not repeat infinitely.