Solve (-2)+3 Using the Number Line: Step-by-Step Visual Guide

Number Line Addition with Negative Starting Points

(2)+3= (-2)+3=

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:06 The number is intentional and negative
00:12 We'll take 2 jumps left from zero point to find the number
00:17 The number is intentional and positive
00:21 To add, we'll take 3 jumps in the positive direction
00:33 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(2)+3= (-2)+3=

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666

2

Step-by-step solution

Let's locate negative 2 on the number line.

Since negative 2 is less than 0, we'll move two steps left from zero, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666

Now let's look at the operation in the exercise.

Since the operation is +3 +3

And since 3 is greater than 0, we'll move three steps right from negative 2, where each step represents one whole number as follows:

-6-6-6-5-5-5-4-4-4-3-3-3-2-2-2-1-1-1000111222333444555666

We can see that we arrived at the number 1.

3

Final Answer

1 1

Key Points to Remember

Essential concepts to master this topic
  • Starting Position: Always locate the first number on the number line first
  • Movement Direction: Adding positive moves right: 2+3 -2 + 3 means start at -2, move 3 right
  • Final Check: Count positions to verify: -2 → -1 → 0 → 1 equals 1 ✓

Common Mistakes

Avoid these frequent errors
  • Moving in wrong direction when adding positive numbers
    Don't move left when adding positive numbers = wrong negative result! Adding positive always means moving right on the number line, regardless of where you start. Always move right when adding positive, left when adding negative.

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

FAQ

Everything you need to know about this question

Why do I start at -2 instead of 0?

+

The first number in (2)+3 (-2) + 3 tells you your starting position on the number line. Think of it like: 'I'm standing at -2, now I need to move 3 steps in the positive direction.'

How do I know which direction to move?

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Look at the sign of the number you're adding:

  • Adding positive (+3) = move right
  • Adding negative (-3) = move left

What if I get confused about positive and negative?

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Remember: positive numbers are on the right side of zero, negative numbers are on the left. When adding, you're always moving toward the sign of the number you're adding.

Can I solve this without drawing the number line?

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Yes! Think of it as: 2+3=32=1 -2 + 3 = 3 - 2 = 1 . But using the number line helps you visualize what's happening, especially with negative numbers.

Why is the answer positive when I started with a negative number?

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Because you moved more steps to the right (+3) than your starting position was to the left (-2). Since 3 > 2, you end up in the positive region of the number line.

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