-7/3 as a Decimal

Professor Greenline Explaining Math Concepts

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Intermediate

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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 of a whole. It has two parts: numerator (number on the top) here, -7 represents how many parts out of the whole. The denominator (number below) shows how many parts make up the whole, here it is 3. A decimal is a way to represent the number that is not whole, using a point (.) or a decimal 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 -7/3 as a decimal?

$-7/3 as a decimal$

Answer

-7/3 in decimals can be written as -2.33333….. It is a recurring decimal, showing it will repeat the same digit infinitely.

Explanation

To get -7/3 in decimal, we will use the division method. Here as 7 is larger than 3, we will divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-7) will be taken as the dividend and the denominator (3) will be taken as the divisor.

Step 2: Divide -7 by 3. We have -7 ÷ 3.

Step 3: 3 goes into 7 two times, which gives us 6. Write 2 in the quotient place.

Step 4: Subtract 6 from 7, leaving 1. Bring down 0 to make 10.

Step 5: 3 goes into 10 three times, which gives us 9. Write 3 in the quotient place and subtract 9 from 10, leaving 1.

Step 6: Repeat the process by bringing down another 0 to make 10, and the division process continues. The division process continues as a recurring decimal since the remainder does not become 0.

The answer for -7/3 as a decimal will be -2.3333……

Important Glossaries for -7/3 as a decimal

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.
Recurring Decimal: A decimal in which one or more digits repeat infinitely.
Dividend: The number that is being divided in a division operation.