Describe p + q as the number located a distance |q❘ from p in the positive or negative direction on the number line

Question

depending on whether q is a
positive or negative rational
number.
Make it look like a 7th grader wrote it

Find the sum of p and q if p and q
==
Reduce your answer to lowest terms.
Answer: -2

Answer 1

Alright, let's break it down in a way a 7th grader would understand!

So, imagine you have a number line, which is like a straight path where numbers are placed in order. When we talk about $p+q$, we're trying to find a new spot on the number line starting from the number $p$.

1. Understanding $p$: Let's say $p$ is a number on this line. It could be anything like 3, -1, 0, or even fractions.

2. Understanding $q$: Now, $q$ is another number, which can be either positive (like 2) or negative (like -3).

3. Moving from $p$:

   • If $q$ is positive, we move to the right from $p$.
   • If $q$ is negative, we move to the left from $p$.

So, $p+q$ is just the new location you end up at after moving $|q|$ (which is the distance of $q$ without considering if it's negative) from $p$ in the correct direction (right for positive, left for negative).

Example:

If $p=3$ and $q=2$, then $3+2=5$. You start at 3 and move 2 steps to the right to get to 5.

If $p=3$ and $q=-2$, then $3+(-2)=1$. You start at 3 and move 2 steps to the left to get to 1.

Problem Part:

Now, you mentioned finding the sum of $p$ and $q$ and that the answer is -2. We don’t know what $p$ and $q$ are exactly, but we can check if they work out.

Let’s say $p=-1$ and $q=-1$:

• $-1+(-1)=-2$

So that works! The answer is -2, which is already in its lowest terms.

Overall, finding $p+q$ is like starting at $p$ and moving the distance of $q$ in the right direction—simple as that!

Answer 2

simplify it but still have information

Answer 3

Sure! Let’s simplify it while keeping the important info.

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When we add $p+q$, we’re finding a new number on the number line.

1. Starting Point $p$: Imagine $p$ is on the number line.

2. Move $q$:

   • If $q$ is positive, you move to the right (add).
   • If $q$ is negative, you move to the left (subtract).

So, $p+q$ means you start at $p$ and then move the distance of $|q|$ in the right direction for positive $q$ or left for negative $q$.

Example:

• If $p=3$ and $q=2$, then $3+2=5$.
• If $p=3$ and $q=-2$, then $3+(-2)=1$.

Given:

You said the sum is -2.

For instance, if $p=-1$ and $q=-1$:

• Then $-1+(-1)=-2$.

So, that’s how $p+q$ works! It’s just moving in the right or left direction based on whether $q$ is positive or negative.

Answer 4

it appears to not fit entirley in a text box so size it down

Answer 5

Sure! Here's a more concise version that fits better in a text box:

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When we add $p+q$, we find a new number on the number line.

1. Start at $p$: This is your starting point.

2. Move $q$:

   • If $q$ is positive, move right.
   • If $q$ is negative, move left.

So, $p+q$ means starting at $p$ and moving $|q|$ units in the right or left direction.

Example:

• If $p=3$ and $q=2$, then $3+2=5$.
• If $p=3$ and $q=-2$, then $3+(-2)=1$.

Given Sum:

If $p+q=-2$, for example, with $p=-1$ and $q=-1$:

• Then $-1+(-1)=-2$.

It’s all about moving from $p$ based on $q$!