Adding And Subtracting Rational Numbers Word Problems Worksheet Pdf
If you are a math student, adding and subtracting rational numbers may seem like a daunting task. However, with practice and the right resources, you can become a pro at solving word problems that involve rational numbers. One of the resources that you can use to practice is a worksheet. In this article, we will explore what a rational number is, how to add and subtract them, and how to use a worksheet to solve word problems that involve rational numbers.
What is a Rational Number?
A rational number is a number that can be expressed as a ratio of two integers. In other words, it is a number that can be written in the form a/b, where a and b are integers and b is not equal to zero.
Examples of rational numbers include:
- 1/2
- -3/4
- 5
- 0.8 (which can be written as 4/5)
Adding and Subtracting Rational Numbers
To add or subtract rational numbers, you need to make sure that the denominators are the same. Once the denominators are the same, you can add or subtract the numerators.
Here is an example:
Let's say you want to add 1/2 and 3/4. First, you need to make sure the denominators are the same. The least common multiple of 2 and 4 is 4, so you need to multiply 1/2 by 2/2 and 3/4 by 1/1. This gives you:
1/2 x 2/2 = 2/4 and 3/4 x 1/1 = 3/4
Now that the denominators are the same, you can add the numerators:
2/4 + 3/4 = 5/4
So, 1/2 + 3/4 = 5/4.
Using a Rational Numbers Worksheet to Solve Word Problems
A rational numbers worksheet is a great tool to help you practice adding and subtracting rational numbers. It can also help you practice solving word problems that involve rational numbers.
Here is an example of a word problem that you can solve using a rational numbers worksheet:
Ann has two accounts for her business. In one account, she has a balance of $450. In the other account, she has a balance of -$250. What is the total balance of Ann's accounts?
To solve this problem using a worksheet:
- Identify the rational numbers in the problem. In this case, the rational numbers are $450 and -$250.
- Decide whether to add or subtract the rational numbers. In this case, you need to add the rational numbers because you want to find the total balance.
- Convert the rational numbers to a common denominator. In this case, the common denominator is $1.
- Add the numerators. $450 + (-$250) = $200.
So, the total balance of Ann's accounts is $200.
Conclusion
Adding and subtracting rational numbers may seem intimidating at first, but with practice and the right resources, you can become proficient at it. A rational numbers worksheet is a great tool to help you practice and improve your skills. Keep practicing, and you will become a pro in no time!