-4/25 as a Decimal

Answer

-4/25 in decimals can be written as -0.16. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get -4/25 in decimal, we will use the division method. Here as -4 is smaller than 25, we will take help of the decimal method which will give us -0.16. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (-4) will be taken as the dividend and the denominator (25) will be taken as the divisor.

Step 2: As -4 is smaller than 25, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make -4 as -40 and add a decimal point in the quotient place.

Step 3: Now that it is -40, we can divide it by 25. Let's see how many times 25 makes -40.

Step 4: -40 is not a multiple of 25, so we will look for the nearest number that is 25 × 1 = 25. We will write -1 in the quotient place and subtract 25 from -40, which gives -15.

Step 5: Bring down another 0 in the dividend place and make -15 as -150 and then repeat the division process.

Step 6: -150 divided by 25 gives -6, and no remainder is left, making this a terminating decimal.

The answer for -4/25 as a decimal will be -0.16.

• 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, with sign indicating positive or negative fraction.
   
• Denominator: The bottom part of a fraction, showing how many parts make up a whole.
   
• Terminating Decimal: A decimal that ends and does not repeat infinitely.