35/9 as a Decimal

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

It is a simple question on decimal conversion. Firstly, we have to understand fractions and decimals. A fraction represents a part of a whole and consists of two parts: numerator (the number on top), here 35, which indicates how many parts we have, and denominator (the number below), here 9, which shows how many parts make up the whole. A decimal is a way to represent a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.

What is 35/9 as a decimal?

$35/9 as a decimal$

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…