Solve Addition Problem: (+8) + (+12) with Positive Numbers

Adding Positive Integers with Same Signs

Solve the following expression:

(+8)+(+12)= ? (+8)+(+12)=\text{ ?}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve the problem together!
00:08 First, find the number 8 on the number line.
00:13 Now, move right in the positive direction.
00:18 Take twelve steps to the right.
00:22 And that's how you find the solution!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following expression:

(+8)+(+12)= ? (+8)+(+12)=\text{ ?}

2

Step-by-step solution

Let's add 8 to the number line and move 12 steps to the right.

Note that our result is a positive number:

Now solve the following exercise:

8+12=20 8+12=20

3

Final Answer

20 20

Key Points to Remember

Essential concepts to master this topic
  • Same Sign Rule: When adding two positive numbers, the result is always positive
  • Technique: Add the absolute values: |8| + |12| = 8 + 12 = 20
  • Check: Count forward on number line from 8, moving 12 steps right = 20 ✓

Common Mistakes

Avoid these frequent errors
  • Getting confused by the plus signs in parentheses
    Don't think (+8) + (+12) means subtraction just because you see parentheses = wrong negative answer! The parentheses just show the signs clearly. Always remember that positive plus positive equals positive.

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 we write (+8) instead of just 8?

+

The parentheses with signs help us see the sign of each number clearly. This becomes really important when we mix positive and negative numbers in the same problem.

Is there a difference between +8 and (+8)?

+

No difference at all! Both mean positive 8. The parentheses are just used to make the signs extra clear when we're learning about integer operations.

How do I visualize this on a number line?

+

Start at 8 on the number line. Since you're adding a positive 12, move 12 steps to the right. You'll land on 20!

Why is the answer positive and not negative?

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When you add two positive numbers, you're combining two quantities in the same direction. Think of it as: 8 steps forward + 12 more steps forward = 20 steps forward total.

What's the fastest way to solve this?

+

Simply ignore the parentheses and add normally: 8 + 12 = 20. The parentheses don't change anything when both numbers are positive!

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