-8 7/9 as a Decimal

Professor Greenline Explaining Math Concepts

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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, 7 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 9. A decimal is a way to represent the number that is not whole, using a (.) or a decimal point 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 -8 7/9 as a decimal?

$-8 7/9 as a decimal$

Answer

-8 7/9 in decimals can be written as -8.77777… It is a recurring decimal, indicating it will repeat the same digit infinitely.

Explanation

To convert -8 7/9 to a decimal, we can break it into two parts: the whole number (-8) and the fractional part (7/9). Let's see the step-by-step breakdown of converting 7/9:

Step 1: Identify the numerator and denominator because the numerator (7) will be taken as the dividend and the denominator (9) as the divisor.

Step 2: As 7 is smaller than 9, we take the help of the decimal method. We add 0 to the dividend, making 7 as 70, and add a decimal point in the quotient place.

Step 3: Now that it is 70, we can divide it by 9. Let's see how many times 9 makes 70.

Step 4: 70 is not a multiple of 9, so we look for the nearest number that is 9 x 7 = 63. We write 7 in the quotient place, and subtracting 63 from 70 gives 7.

Step 5: Bring down another 0 in the dividend place, making 7 as 70, and then repeat the division process. The division process continues, and we don't get the remainder as 0. This process is called a recurring decimal.

The answer for -8 7/9 as a decimal will be -8.7777...

Important Glossaries for -8 7/9 as a decimal

Mixed Number: A whole number combined with a fraction, representing a sum of both.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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.
Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.