33/8 as a Decimal

Answer

33/8 in decimals can be written as 4.125. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To get 33/8 in decimal, we will use the division method. Let's break down the process step by step:

Step 1: Identify the numerator and denominator because the numerator (33) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 33 by 8. We find that 8 goes into 33 four times, since 8 × 4 = 32. Step 3: Subtract 32 from 33, giving a remainder of 1.

Step 4: Bring down a 0, making it 10, and add a decimal point in the quotient place.

Step 5: Divide 10 by 8, which goes 1 time since 8 × 1 = 8. Subtract 8 from 10 to get a remainder of 2.

Step 6: Bring down another 0, making it 20. Divide 20 by 8, which goes 2 times since 8 × 2 = 16. Subtract 16 from 20 to get a remainder of 4.

Step 7: Bring down another 0, making it 40. Divide 40 by 8, which goes 5 times since 8 × 5 = 40. Subtract 40 from 40 to get a remainder of 0. The division process ends here as we get a remainder of 0.

Therefore, the answer for 33/8 as a decimal is 4.125.

• 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.