Division is one of the basic arithmetic operations in mathematics that involves splitting a number into equal parts. One of the simplest examples of division is 360 divided by 9, which is a basic problem that many students learn in elementary school. In this article, we will explore this problem in detail and provide a step-by-step guide on how to solve it.
What is Division?
Division is the arithmetic operation of finding how many times one quantity is contained in another quantity. It is the opposite of multiplication and is used to split a number into equal parts or groups. The symbol for division is ÷ or / and the numbers being divided are called the dividend and divisor, respectively.
How to Solve 360 Divided by 9
Now, let’s focus on solving the problem at hand: 360 divided by 9. To solve this problem, we need to find out how many times 9 is contained in 360. We can do this by performing the following steps:
- Write the problem in long division format: 360 ÷ 9 =
- Divide the first digit of the dividend (3) by the divisor (9) and write the quotient (0) on top of the division symbol.
- Multiply the quotient (0) by the divisor (9) and write the product (0) below the first digit of the dividend (3).
- Subtract the product (0) from the first digit of the dividend (3) to get the remainder (3).
- Bring down the next digit of the dividend (6) next to the remainder (3) to get 36.
- Divide 9 into 36 and write the quotient (4) on top of the division symbol.
- Multiply the quotient (4) by the divisor (9) and write the product (36) below 36.
- Subtract the product (36) from 36 to get the remainder (0).
The quotient (0 4) is the answer to the problem: 360 divided by 9 is 40.
Why is Division Important?
Division is a fundamental concept in mathematics that is used in everyday life. It is used in many areas such as science, engineering, finance, and economics. For example, division is used to calculate ratios, rates, and percentages. It is also used in cooking and baking to adjust recipe quantities, and in construction to calculate the number of tiles, bricks, or wooden planks needed for a project.
Tips for Solving Division Problems
Division can be challenging for some students, but with practice, it can become easier. Here are some tips for solving division problems:
- Understand the concept of division and how it works.
- Memorize the multiplication table to make the process of division faster.
- Write the problem in long division format to make it easier to solve.
- Divide the digits of the dividend one by one, starting from the left.
- Check your answer by multiplying the quotient by the divisor and adding the remainder.
Conclusion
Dividing numbers is a basic arithmetic operation that is used in many areas of life. In this article, we focused on solving the problem 360 divided by 9 and provided a step-by-step guide on how to do it. We also discussed the importance of division and provided some tips for solving division problems. With practice, anyone can become proficient in division and other basic math operations.