Question
What number would have to be added to point c
on the number line to make zero. Explain how you know.
on the number line to make zero. Explain how you know.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To find the number that needs to be added to point \( c \) on the number line to make zero, we need to look at the value of \( c \). The number that should be added to \( c \) to reach zero is simply the additive inverse of \( c \).
The additive inverse of a number \( c \) is defined as the value that, when added to \( c \), results in zero. Mathematically, this can be expressed as:
\[
c + x = 0
\]
To find \( x \), we can rearrange the equation:
\[
x = -c
\]
This tells us that the number that needs to be added to \( c \) to achieve zero is \( -c \).
For example:
- If \( c = 5 \), then the number to add would be \( -5 \) because \( 5 + (-5) = 0 \).
- If \( c = -3 \), then the number to add would be \( 3 \) because \( -3 + 3 = 0 \).
Thus, the answer to your question is that you need to add \( -c \) to point \( c \) to make it equal to zero.
The additive inverse of a number \( c \) is defined as the value that, when added to \( c \), results in zero. Mathematically, this can be expressed as:
\[
c + x = 0
\]
To find \( x \), we can rearrange the equation:
\[
x = -c
\]
This tells us that the number that needs to be added to \( c \) to achieve zero is \( -c \).
For example:
- If \( c = 5 \), then the number to add would be \( -5 \) because \( 5 + (-5) = 0 \).
- If \( c = -3 \), then the number to add would be \( 3 \) because \( -3 + 3 = 0 \).
Thus, the answer to your question is that you need to add \( -c \) to point \( c \) to make it equal to zero.
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