35/8 as a Decimal

Answer

35/8 in decimal form can be written as 4.375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 35/8 to a decimal, we will use the division method. Here, as 35 is larger than 8, we can directly perform the division. Let's see the step-by-step breakdown of the process:

Step 1: Identify the numerator and denominator because the numerator (35) will be taken as the dividend and the denominator (8) will be taken as the divisor.

Step 2: Divide 35 by 8. The integer part of the quotient is 4 because 8 goes into 35 four times.

Step 3: Multiply 8 by 4 which gives 32. Subtract 32 from 35 to get a remainder of 3.

Step 4: Bring down a 0 to make it 30, then divide 30 by 8. The integer part of the quotient is 3.

Step 5: Multiply 8 by 3 which gives 24. Subtract 24 from 30 to get a remainder of 6.

Step 6: Bring down another 0 to make it 60, then divide 60 by 8. The integer part of the quotient is 7.

Step 7: Multiply 8 by 7 which gives 56. Subtract 56 from 60 to get a remainder of 4.

Step 8: Bring down another 0 to make it 40, then divide 40 by 8. The integer part of the quotient is 5.

Step 9: Multiply 8 by 5 which gives 40. Subtract 40 from 40 to get a remainder of 0.

The division process ends here with no remainder, indicating that 35/8 as a decimal is 4.375.

• 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.