The Definition of Division
Before we dive into what 35 divided by 5 is, let’s first define what division is. Division is a mathematical operation that involves splitting a number into equal parts or groups. The number being divided is called the dividend, and the number we divide by is called the divisor.
Calculating 35 Divided by 5
Now that we understand what division is, let’s calculate 35 divided by 5. To do this, we need to divide 35 by 5. We can write this as: 35 ÷ 5 = ? To solve this problem, we need to figure out how many times 5 goes into 35. We can do this by performing long division:
5 | | | 3 | 5 | |
3 | 5 | |||
– | 3 | 0 | ||
5 |
We can see that 5 goes into 35 seven times, with a remainder of 0. Therefore, 35 divided by 5 equals 7.
The Importance of Division in Mathematics
Division is an essential operation in mathematics. It is used to solve a wide range of problems, from simple arithmetic to advanced calculus. Division is also used to find averages, ratios, and proportions, and it plays a key role in algebra, geometry, and trigonometry.
Division Tips and Tricks
If you’re struggling with division, here are some tips and tricks to help you:
1. Memorize Your Multiplication Tables
Knowing your multiplication tables can make division much easier. If you know that 5 x 7 = 35, then you also know that 35 ÷ 5 = 7.
2. Use Mental Math
Sometimes, you don’t need to perform long division to solve a problem. For example, if you need to divide 100 by 5, you can simply divide 10 by 5 and add two zeros to the answer. This gives you 20, which is the correct answer.
3. Check Your Answer
After performing division, it’s always a good idea to check your answer. You can do this by multiplying your answer by the divisor and adding any remainder. If the result is equal to the dividend, then your answer is correct.
Conclusion
In conclusion, 35 divided by 5 equals 7. Division is an important operation in mathematics, and it is used to solve a wide range of problems. By memorizing multiplication tables, using mental math, and checking your answer, you can become a division pro in no time.