# Worksheet: Operations on Real Numbers

In this worksheet, we will practice solving problems involving operations and properties of operations on real numbers.

**Q1: **

Complete .

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**Q4: **

What is the additive inverse of ?

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**Q5: **

Find the additive inverse of .

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**Q6: **

Find the multiplicative inverse of .

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**Q7: **

Given that is the multiplicative inverse of , find the value of .

**Q9: **

Given that the multiplicative inverse of is , find the value of .

**Q10: **

Given that , find .

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**Q11: **

What is the additive inverse of ?

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**Q12: **

Find the multiplicative inverse of , giving your answer in its simplest form.

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**Q13: **

Find the multiplicative inverse of .

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**Q14: **

Complete .

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**Q17: **

A square has a side length of cm
and an area of 63 cm^{2}.
Find the area of a square whose side length is cm.

- A
378 cm
^{2} - B
2,268 cm
^{2} - C
cm
^{2} - D
cm
^{2} - E
99 cm
^{2}

**Q19: **

A rational number is a number that can be written in the form , where and are integers (whole numbers) and is not zero. If we add an irrational number to a rational number, the result is irrational. If , , , and , which of the following expressions results in a rational number?

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**Q20: **

A rational number is a number that can be written in the form , where and are integers (whole numbers) and is not zero. The product of an irrational number and a nonzero rational number is an irrational number. If , , , and , which of the following expressions results in a rational number?

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**Q21: **

If , , , and , which of the following expressions results in a rational number?

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**Q22: **

If , , , and , which of the following expressions results in a rational number?

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**Q23: **

If , , , and , which of the following expressions results in a rational number?

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**Q24: **

If , , , and , which of the following expressions results in a rational number?

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