## Introduction

Mathematics is a fundamental part of our daily lives. From calculating sales tax to measuring ingredients for a recipe, we use math in many ways. One of the most basic operations in math is division, and in this article, we will explore the concept of dividing 35 by 3.

## What is Division?

Division is the process of splitting a number into equal parts. For example, if we divide 10 by 2, we get 5 because 10 can be split into two equal parts of 5. In the case of 35 divided by 3, we are trying to split 35 into three equal parts.

## The Division Process

To divide 35 by 3, we can use long division or a calculator. Long division involves dividing the larger number by the smaller number and then writing the remainder as a fraction. In this case, 35 divided by 3 gives us 11 with a remainder of 2. Therefore, 35 divided by 3 is 11 and 2/3.

## Decimal Form

Another way to express 35 divided by 3 is in decimal form. To convert the fraction 2/3 to a decimal, we can divide 2 by 3. This gives us 0.66666667, which we can round to two decimal places as 0.67. Therefore, 35 divided by 3 is 11.67.

## Real-Life Applications

Knowing how to divide numbers is useful in many real-life situations. For example, if you have 35 apples and want to divide them equally among 3 people, you would need to know how many apples each person would get. In this case, each person would get 11 apples, with 2 apples left over.

## Divisibility Rules

There are some rules that can help us determine if a number is divisible by another number. In the case of dividing 35 by 3, we can use the rule that a number is divisible by 3 if the sum of its digits is divisible by 3. The sum of the digits in 35 is 8 (3+5), which is not divisible by 3. Therefore, 35 is not divisible by 3.

## Common Mistakes

One common mistake when dividing numbers is forgetting to include the remainder as a fraction. In the case of 35 divided by 3, the answer is not simply 11, but 11 and 2/3. Another mistake is rounding too early when expressing the answer in decimal form. It is important to carry out the division fully before rounding.

## Conclusion

Dividing numbers is a fundamental concept in math, and knowing how to do it is essential for many real-life situations. In the case of 35 divided by 3, the answer is 11 and 2/3 or 11.67. By understanding the division process and common mistakes to avoid, you can confidently solve math problems and use math in your daily life.