Explain how solving 8+2 can help you solve 80+20?
The correct answer and explanation is:
Correct Answer:
Solving 8 + 2 = 10 can help you solve 80 + 20 = 100 because both problems follow the same pattern and relationship — they involve place value and basic addition.
300-Word Explanation:
Understanding basic addition facts like 8 + 2 = 10 is a key building block for solving more complex problems such as 80 + 20. This is because math often builds on patterns and relationships between numbers, particularly through place value.
Let’s break it down:
In 8 + 2, you are adding two single-digit numbers that give you a sum of 10. When you look at 80 + 20, notice that each number is ten times greater than the numbers in 8 + 2.
- 80 is 10 × 8
- 20 is 10 × 2
So, 80 + 20 is like multiplying each part of 8 + 2 by 10:
(8 × 10) + (2 × 10) = 10 × (8 + 2) = 10 × 10 = 100
This shows that once you understand that 8 + 2 = 10, you can apply that same logic to 80 + 20, just adjusting for the tens place. This is an example of mental math and place value reasoning—you’re not just memorizing facts, but seeing how math scales up using known facts.
This approach helps students recognize patterns and build number sense. Instead of trying to solve 80 + 20 from scratch, you rely on what you already know and use multiplication and addition together efficiently.
Understanding this concept lays the groundwork for doing operations with even larger numbers, such as 800 + 200 or 8,000 + 2,000. It emphasizes that math is logical and interconnected, not just a list of problems to memorize.