- 5/8 as a Decimal

Answer

-5/8 in decimals can be written as -0.625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To get -5/8 in decimal, we will use the division method. Here, as 5 is smaller than 8, we will take help of the decimal method, which will give us -0.625. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (5) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: As 5 is smaller than 8, it can't be divided. Here we will take the help of decimals. We will add 0 to the dividend, which will make 5 as 50, and add a decimal point in the quotient place.

Step 3: Now that it is 50, we can divide it by 8. Let's see how many times 8 makes 50.

Step 4: 50 is not a multiple of 8, so we will look for the nearest number that is 8 × 6 = 48. We will write 6 in the quotient place and subtract 48 from 50 gives 2.

Step 5: Bring down another 0 in the dividend place and make 2 as 20 and then repeat the division process.

Step 6: 20 is not a multiple of 8, but it is greater than 8 × 2 = 16. Write 2 in the quotient place. Subtract 16 from 20 gives 4.

Step 7: Bring down another 0, making it 40. Now divide by 8. 8 × 5 = 40. Write 5 in the quotient place. Subtract 40 from 40 gives 0, ending the division process. The division process terminates here.

The answer for -5/8 as a decimal will be -0.625.

• 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.
   
• 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.