-3 1/9 as a Decimal

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It is a simple question on decimal conversion. Firstly, we have to understand mixed numbers and decimals. A mixed number consists of a whole number and a fraction. Here, -3 is the whole number, and 1/9 is the fractional part. 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 part, and those to the right represent the fractional part.

What is -3 1/9 as a decimal?

$-3 1/9 as a decimal$

Answer

-3 1/9 in decimal form can be written as -3.1111… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert -3 1/9 to a decimal, we first convert 1/9 to a decimal and then combine it with the whole number part. Let's break down the conversion:

Step 1: Identify the fractional part, which is 1/9. We will convert this fraction to a decimal.

Step 2: Use division to convert 1/9 to a decimal. Since 1 is smaller than 9, we use the decimal method to get 0.1111…

Step 3: 1 divided by 9 gives 0.1111…, a recurring decimal as the digit 1 repeats infinitely.

Step 4: Combine the whole number part with the decimal part. Since the whole number is -3, we get -3 + 0.1111… = -3.1111…

The division process shows that 1/9 is a recurring decimal, and thus, -3 1/9 as a decimal is -3.1111…

Important Glossaries for -3 1/9 as a decimal

Mixed Number: A numerical expression combining a whole number and a fraction.
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.
Recurring Decimal: A decimal where one or more digits repeat infinitely.
Division: A mathematical operation where a number is divided into equal parts, used to convert fractions to decimals.