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Introduction
Mathematics is one of the most important subjects that we learn in school. It teaches us about numbers, operations, and how to solve problems. One of the most common problems in mathematics is division. In this article, we will be discussing the math behind 80 divided by 3.
What is Division?
Division is an arithmetic operation that involves splitting a number into equal parts. It is the opposite of multiplication. For example, if you have 12 apples and you want to split them equally between 4 people, you would use division to find out how many apples each person would get.
How to Divide 80 by 3
When we divide 80 by 3, we are essentially asking how many times 3 can go into 80. To do this, we use a process called long division. Here is how it works:
1. Write 80 as the dividend and 3 as the divisor.
2. Divide the first digit of the dividend (8) by the divisor (3). The quotient is 2.
3. Multiply the divisor (3) by the quotient (2) to get 6.
4. Subtract 6 from 8 to get 2.
5. Bring down the next digit (0) to get 20.
6. Repeat steps 2-5 until you reach the end of the dividend.
After completing the long division process, we get a quotient of 26 with a remainder of 2. This means that 3 goes into 80 exactly 26 times with 2 left over.
What is the Quotient and Remainder?
The quotient is the result of the division. In this case, the quotient is 26. The remainder is the amount left over after the division is complete. In this case, the remainder is 2.
Using Fractions
We can also express 80 divided by 3 as a fraction. To do this, we put 80 over 3 with a line between them. This is called a fraction bar. The fraction is read as “80 over 3” or “80 thirds”.
When we simplify the fraction, we get 26 and 2/3. This means that 3 goes into 80 exactly 26 times with a remainder of 2, or 26 and 2/3.
Real-Life Applications
Division is used in many real-life situations. For example, if you are planning a road trip and you want to know how many miles you can drive on a full tank of gas, you would use division. You would divide the number of miles per gallon your car gets by the size of your gas tank to get the number of miles you can drive on a full tank.
Division is also used in cooking. If you want to make a recipe that serves 4 people, but you only have enough ingredients for 2 people, you would use division to adjust the recipe. You would divide each ingredient by 2 to get the right measurements for 2 people.
Common Mistakes
One common mistake when dividing is forgetting to carry over a remainder. For example, if you were dividing 10 by 3, you would get a quotient of 3 with a remainder of 1. However, some people forget to carry over the remainder and end up with a quotient of 3 and no remainder.
Another common mistake is dividing the wrong way. For example, if you were dividing 80 by 3 and you put 3 over 80 instead of 80 over 3, you would get the wrong answer.
Conclusion
Division is an important math operation that we use in many real-life situations. When dividing 80 by 3, we get a quotient of 26 with a remainder of 2. We can also express this as a fraction, which simplifies to 26 and 2/3. By understanding the math behind division, we can solve problems and make calculations with ease.
