Adding Subtracting Rational Numbers Worksheet

This worksheet is designed to help students practice adding and subtracting rational numbers. Whether you are a teacher looking for supplemental resources for your math class or a parent wanting to support your child's learning at home, this worksheet offers a variety of problems to reinforce the concept of rational number operations.

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What is the result of adding a positive rational number to a negative rational number?

The result of adding a positive rational number to a negative rational number is another rational number.

What is the result of subtracting a positive rational number from a negative rational number?

When you subtract a positive rational number from a negative rational number, the result will still be negative. The difference between a negative number and a positive number is always negative.

How do you add two negative rational numbers?

To add two negative rational numbers, you simply add their absolute values and keep the negative sign in front of the sum. For example, if you want to add -1/3 and -2/5, you first add the absolute values: 1/3 + 2/5 = 5/15 + 6/15 = 11/15. Since both numbers are negative, the sum would be -11/15.

How do you subtract a negative rational number from a negative rational number?

Subtracting a negative rational number from another negative rational number is the same as adding the two numbers together. When you subtract a negative number, it is equivalent to adding its positive value. So, you would add the absolute values of the two numbers and then apply the sign of the larger number to the result to get the final answer.

What happens when you add a positive rational number to zero?

When you add a positive rational number to zero, the result will be the same positive rational number that you added, as adding zero to any number essentially leaves the number unchanged.

What happens when you subtract zero from a positive rational number?

When you subtract zero from a positive rational number, the result is the same positive rational number. This is because zero is the additive identity, meaning adding or subtracting zero does not change the value of the number it is being operated with.

How do you add a positive rational number to a fraction?

To add a positive rational number to a fraction, you first need to express the rational number as a fraction with the same denominator as the fraction you are adding it to. Once both numbers have the same denominator, you can add the numerators together and keep the denominator the same to get the result of the addition. This will give you a new fraction that represents the sum of the positive rational number and the initial fraction.

How do you subtract a negative rational number from a fraction?

To subtract a negative rational number from a fraction, you can rewrite the negative rational number as a positive rational number and then add it to the fraction. This is because subtracting a negative number is equivalent to adding a positive number. Just remember to simplify the final fraction if possible.

What is the result of adding two fractions with different denominators?

When adding two fractions with different denominators, first find a common denominator by finding the least common multiple of the two denominators. Then, convert both fractions to have the same denominator by multiplying each by a form of 1 that will make the denominators equal. Finally, add the numerators together and keep the common denominator to get the sum of the two fractions.

How do you subtract a fraction from a whole number?

To subtract a fraction from a whole number, convert the whole number to a fraction by putting it over 1 and then find a common denominator with the fraction. Once you have a common denominator, you can subtract the fractions by subtracting the numerators while keeping the denominator the same.