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Each topic has fun activities and games to help you learn. Complete all sections to learn well!
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Correct!
Let's Learn About Addition and Subtraction!
Example: 15 + 8 = 23
With negatives: 12 + (-5) = 7
Example: 20 - 7 = 13
With negatives: 10 - (-3) = 13
Know About Addition and Subtraction
Addition is the mathematical operation of combining two or more numbers to find their total or sum. It works with both positive and negative numbers!
Subtraction is the mathematical operation of finding the difference between two numbers. Remember: subtracting a negative is the same as adding! For example: 5 - (-3) = 5 + 3 = 8
Important Rule: When you see two minus signs together (- -), they become a plus sign (+)!
With negatives: 18 + (-7) = 11
Double negative: 15 - (-8) = 23
Understanding Operation Signs
Understanding how positive and negative signs work in addition and subtraction is super important for math problems, like in science (temperature changes) or money (gains and losses).
These rules help you solve equations quickly. Think of positive as "gaining" (like earning money) and negative as "losing" (like owing money). Let's break it down with real-life examples!
Gain More! (Like adding money to your savings)
Real-life: Temperature rises 5°C then another 3°C = +8°C total
Lose Some! (Like adding a debt)
Real-life: You have $7, but owe $4 = $3 left
Lose More! (Like subtracting savings)
Real-life: Temperature is 6°C, drops 5°C = 1°C
Gain Instead! (Like removing a debt)
Real-life: You owe $8, but cancel a $4 debt = $12 gain effectively
The Golden Rule for Signs!
7 + (+3) = 10 (Gaining more points in a game)
8 - (-4) = 12 (Removing a penalty in sports)
9 + (-5) = 4 (Adding a loss to your score)
6 - (+8) = -2 (Subtracting a gain, like losing elevation)
How to Play Number Line Game
- Read the problem: The frog starts at the first number in the equation.
- Understand the signs: Same signs (++, --) mean move forward. Different signs (+-, -+) mean move backward.
- Hop the frog: Click "Hop" to move the frog step by step according to the operations. Or use Right Arrow for forward, Left Arrow for backward (only if it matches the direction).
- Use Undo: Click "Undo" to move the frog back one step if needed.
- Write the answer: Include the sign! Write -5 for negative five, not just 5.
- Check result: Click Submit to see if you're correct.
Sign Rules:
- + (+) = + (Forward) Example: 5 + (+3) = 8
- - (-) = + (Forward) Example: 5 - (-3) = 8
- + (-) = - (Backward) Example: 5 + (-3) = 2
- - (+) = - (Backward) Example: 5 - (+3) = 2