35/9 as a Decimal

Answer

35/9 in decimal form can be written as 3.8888… It is a recurring decimal, indicating that the digit 8 will repeat infinitely.

Explanation

To convert 35/9 to a decimal, we will use the division method. Since 35 is larger than 9, we can divide directly. Let's break down the process step by step:

Step 1: Identify the numerator and the denominator. The numerator (35) will be the dividend, and the denominator (9) will be the divisor.

Step 2: Divide 35 by 9. The integer part of the quotient is 3 because 9 goes into 35 three times (3 x 9 = 27).

Step 3: Subtract 27 from 35, which leaves a remainder of 8.

Step 4: Bring down a 0 to make it 80 and divide by 9. The process continues because we never get a remainder of 0.

Step 5: 80 divided by 9 gives 8. Subtract 72 (9 x 8) from 80 to get a remainder of 8. Bring down another 0 to repeat the division. The division process continues, repeating the digit 8 infinitely. This is a recurring decimal.

The answer for 35/9 as a decimal is 3.8888…

• 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.

• Recurring Decimal: A decimal that repeats the same digit(s) infinitely.