-9/4 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

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, -9 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 4. 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.

What is -9/4 as a decimal?

$-9/4 as a decimal$

Answer

-9/4 in decimals can be written as -2.25. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get -9/4 in decimal, we will use the division method. Here, as 9 is larger than 4, we can directly divide them without initially adding a decimal point. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-9) will be taken as the dividend, and the denominator (4) will be taken as the divisor.

Step 2: Divide 9 by 4. Since 9 is larger than 4, we proceed with the division.

Step 3: 4 goes into 9 two times, which gives us 8. We write 2 in the quotient place.

Step 4: Subtract 8 from 9, which gives us 1.

Step 5: Bring down a 0 to make it 10 and continue the division process.

Step 6: 4 goes into 10 two times, which gives us 8. Write 2 next to the previous quotient, and subtract 8 from 10, giving us 2.

Step 7: Bring down another 0 to make it 20. 4 goes into 20 five times, which gives us an exact division. Write 5 in the quotient place. The division process ends here as the remainder is 0.

The answer for -9/4 as a decimal is -2.25.