17/8 as a Decimal

Answer

17/8 in decimal form can be written as 2.125. It is a terminating decimal, indicating it does not repeat infinitely.

Explanation

To convert 17/8 into a decimal, we will use the division method. Here, since 17 is larger than 8, we can divide directly. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (17) will be taken as the dividend and the denominator (8) as the divisor.

Step 2: Divide 17 by 8. Since 8 goes into 17 twice (8 × 2 = 16), we write 2 in the quotient place. Subtract 16 from 17 to get a remainder of 1.

Step 3: Bring down a 0, making the remainder 10. Divide 10 by 8 to get 1 (8 × 1 = 8). Write 1 in the quotient place, subtract 8 from 10 to get a remainder of 2.

Step 4: Bring down another 0 to make it 20. Divide 20 by 8 to get 2 (8 × 2 = 16). Write 2 in the quotient place, subtract 16 from 20 to get a remainder of 4.

Step 5: Bring down another 0 to make it 40. Divide 40 by 8 to get 5 (8 × 5 = 40). Write 5 in the quotient place, and subtract 40 from 40 to get a remainder of 0. Since the remainder is now 0, the division process stops here.

The answer for 17/8 as a decimal is 2.125.

• 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.