Find the Inverse Number: Solving for the Opposite of -7

Q: What's the difference between opposite and inverse?

In this context, opposite and inverse mean the same thing - they're just different words for the same concept! Both refer to changing the sign of a number.

Q: Is the opposite of a negative number always positive?

Yes! When you change the sign of a negative number, you remove the negative sign, making it positive. The opposite of $ -7 $ is $ +7 $ or just $ 7 $.

Q: How do I remember which sign to use?

Think of opposites as mirror images across zero on the number line. If the original number is 7 steps to the left of zero (-7), its opposite is 7 steps to the right of zero (+7).

Q: What happens when I add a number to its opposite?

You always get zero! This is because opposite numbers cancel each other out: $ -7 + 7 = 0 $. This is a great way to check your answer.

Q: Can zero have an opposite?

Yes! The opposite of $ 0 $ is still $ 0 $ because changing the sign doesn't change zero. Zero is special - it's its own opposite.

Opposite Numbers with Negative Integers

What is the inverse number of $-7$

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Understand the problem

What is the inverse number of $-7$

Step-by-step solution

To solve the problem of finding the opposite number of $-7$ , we will use the concept of opposite numbers:

Step 1: Identify the given number, which is $-7$ .
Step 2: Determine the opposite number by changing the sign. The opposite of $-7$ is calculated as follows:

The opposite of a negative number is its positive counterpart. So, the opposite of $-7$ is $7$ .

Therefore, the answer is $7$ .

Final Answer

$7$

Key Points to Remember

Essential concepts to master this topic

Definition: Opposite numbers have same distance from zero but opposite signs
Technique: Change the sign: opposite of $-7$ is $7$
Check: Add the number and its opposite: $-7 + 7 = 0$ ✓

Common Mistakes

Avoid these frequent errors

Confusing opposite numbers with reciprocals
Don't look for the reciprocal (1/(-7)) when asked for the opposite! The reciprocal involves division and gives fractions, but opposites only change the sign. Always remember: opposite of -7 is +7, not a fraction.

Practice Quiz

Test your knowledge with interactive questions

What is the additive inverse number of $$ 87 $$

FAQ

Everything you need to know about this question

What's the difference between opposite and inverse?

In this context, opposite and inverse mean the same thing - they're just different words for the same concept! Both refer to changing the sign of a number.

Is the opposite of a negative number always positive?

Yes! When you change the sign of a negative number, you remove the negative sign, making it positive. The opposite of $-7$ is $+7$ or just $7$ .

How do I remember which sign to use?

Think of opposites as mirror images across zero on the number line. If the original number is 7 steps to the left of zero (-7), its opposite is 7 steps to the right of zero (+7).

What happens when I add a number to its opposite?

You always get zero! This is because opposite numbers cancel each other out: $-7 + 7 = 0$ . This is a great way to check your answer.

Can zero have an opposite?

Yes! The opposite of $0$ is still $0$ because changing the sign doesn't change zero. Zero is special - it's its own opposite.

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