2 8/9 as a Decimal

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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 (the number on the top) and the denominator (the number below). In this case, 8/9 is a fraction where 8 is the numerator, indicating how many parts out of the whole, and 9 is the denominator, showing how many parts make the whole. A decimal is a way to represent a non-whole number, 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 2 8/9 as a decimal?

$2 8/9 as a decimal$

Answer

2 8/9 in decimal form can be written as 2.8888... It is a recurring decimal, indicating that the digit 8 will repeat infinitely.

Explanation

To convert 2 8/9 into a decimal, we first convert the fractional part 8/9 into a decimal. Let's use the division method:

Step 1: Identify the numerator and denominator because the numerator (8) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: As 8 is smaller than 9, we use decimals. We add 0 to the dividend, making 8 as 80 and place a decimal point in the quotient.

Step 3: Now, divide 80 by 9.

Step 4: 80 is not a multiple of 9, so we find the nearest number, which is 9 × 8 = 72. Write 8 in the quotient and subtract 72 from 80, resulting in 8.

Step 5: Bring down another 0, making it 80, and repeat the division process. This process continues, and the remainder doesn't become 0, which is called a recurring decimal.

Finally, add the whole number 2 to the result, making it 2.8888....

Important Glossaries for 2 8/9 as a decimal

Fraction: A numerical expression representing a part of a whole.
Decimal: A numerical representation using base ten with a decimal point to separate the whole and fractional parts.
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.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.