What is negative 4 4/25 in a decimal
The Correct Answer and Explanation is:
To convert the mixed number negative 4 4/25 into a decimal, let’s break it down into parts:
- The Whole Number Part:
The whole number is -4. This remains as is when we convert it to decimal form. - The Fractional Part (4/25):
To convert the fraction 4/25 into a decimal, divide the numerator by the denominator: 425=0.16\frac{4}{25} = 0.16254=0.16 So, 4/25 as a decimal is 0.16. - Combining the Whole Number and Fractional Part:
Now, we combine the negative whole number and the decimal we just found: −4+0.16=−4.16-4 + 0.16 = -4.16−4+0.16=−4.16
So, negative 4 4/25 in decimal form is -4.16.
Explanation:
A mixed number like -4 4/25 consists of a whole number part and a fractional part. The process of converting it to a decimal is straightforward. First, the whole number, in this case, -4, stays the same. The fractional part, 4/25, is converted by dividing the numerator (4) by the denominator (25), which gives 0.16. Combining these two parts gives us the decimal value of -4.16.
It’s essential to ensure that you apply the correct negative sign to the whole number, as the fraction 4/25 is positive. Therefore, -4 4/25 translates directly to -4.16 in decimal form.
