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Last updated on March 17th, 2025
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, numerator (number on the top), here -8 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 5. A decimal is a way to represent the number that is not whole, using a (.) 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.
-8/5 in decimals can be written as -1.6. It is a terminating decimal, meaning it ends after a finite number of digits.
To convert -8/5 into a decimal, we will use the division method. Here, -8 is to be divided by 5. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (-8) will be taken as the dividend and the denominator (5) will be taken as the divisor.
Step 2: Divide -8 by 5. Since -8 is less than 0, the result will be negative.
Step 3: 5 goes into 8 once, which gives us 5. Write 1 in the quotient place.
Step 4: Subtract 5 from 8, which gives us 3.
Step 5: Bring down a 0 to make it 30.
Step 6: Divide 30 by 5, which gives us 6. Write 6 in the quotient place.
Step 7: The division is complete with no remainder, making this a terminating decimal.
The answer for -8/5 as a decimal is -1.6.