-2 8/9 as a Decimal

Answer

-2 8/9 in decimals can be written as -2.8888... It is a recurring decimal, meaning it will repeat the same digit infinitely.

Explanation

To convert -2 8/9 into a decimal, we will use the division method for the fractional part. Here, as 8 is smaller than 9, we will perform the division to get the decimal representation. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number, numerator, and denominator. The whole number is -2, the numerator (8) will be taken as the dividend, and the denominator (9) will be taken as the divisor.

Step 2: As 8 is smaller than 9, it can't be divided directly, so we use decimals. We add a decimal point in the quotient place and make the dividend 80.

Step 3: Now, divide 80 by 9. Let's see how many times 9 fits into 80.

Step 4: 80 is not a multiple of 9, so we look for the nearest number, which is 9 × 8 = 72. We write 8 in the quotient place and subtract 72 from 80, which gives 8.

Step 5: Bring down another 0 in the dividend place, making it 80, and then repeat the division process. The division process continues with the remainder never reaching 0, resulting in a recurring decimal.

The answer for -2 8/9 as a decimal will be -2.8888...

• Mixed Number: A number consisting of an integer and a proper fraction.

• Recurring Decimal: A decimal fraction that repeats infinitely.

• 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 the whole.

• Dividend: The number to be divided in a division operation.