What is Bridging Through 10 in Addition?

S1-SA1-0058

Grade Level:

Class 2

Maths, Computing

Definition

What is it?

Bridging Through 10 in Addition is a strategy used to add numbers by first making one of the numbers reach 10, and then adding the remaining part. It helps make addition easier and faster, especially when one number is close to 10.

Simple Example

Quick Example

Imagine you have 7 laddoos and your friend gives you 5 more. Instead of counting all 12, you can think: 'I need 3 more laddoos to make my 7 laddoos into 10 laddoos.' So you take 3 from your friend's 5 laddoos. Now you have 10 laddoos and your friend has 2 laddoos left. Add them: 10 + 2 = 12 laddoos.

Worked Example

Step-by-Step

Let's add 8 + 6 using Bridging Through 10.
---1. Identify the number closer to 10. Here, 8 is closer to 10.
---2. Figure out how much is needed to make 8 into 10. We need 2 (because 8 + 2 = 10).
---3. Break down the second number (6) into two parts: the part needed to make 10 (which is 2) and the remaining part. So, 6 becomes 2 + 4.
---4. Now, add the first number (8) with the part from the second number that makes it 10: 8 + 2 = 10.
---5. Add the remaining part (4) to 10: 10 + 4 = 14.
---So, 8 + 6 = 14.

Why It Matters

This strategy builds a strong foundation for mental math, which is super useful in daily life. It's a key skill for careers like retail management (calculating change quickly) or even in computing for understanding algorithms that break down problems into smaller steps.

Common Mistakes

MISTAKE: Students forget to add the remaining part after making 10. For example, 7 + 5 = (7+3) = 10, and then they stop. | CORRECTION: Always remember to add the leftover part from the second number to the 10.

MISTAKE: Breaking down the wrong number. For example, in 9 + 4, they try to break down 9 instead of 4. | CORRECTION: Always break down the number that is NOT closer to 10. The number closer to 10 'borrows' from the other.

MISTAKE: Not identifying the number closer to 10 correctly. For example, in 6 + 7, thinking 6 is closer to 10. | CORRECTION: Find the number that needs fewer steps to reach 10. (In 6 + 7, 7 needs 3 to reach 10, while 6 needs 4).

Practice Questions

Try It Yourself

QUESTION: Add 9 + 3 using Bridging Through 10. | ANSWER: 12

QUESTION: Your school bus ticket costs Rs 8 and you also buy a samosa for Rs 7. How much do you spend in total, using Bridging Through 10? | ANSWER: Rs 15

QUESTION: In a cricket match, your team scored 6 runs in the first over and 5 runs in the second over. What is the total score after two overs? Show your steps using Bridging Through 10. | ANSWER: 11 runs (6 + 4 = 10, 10 + 1 = 11)

MCQ

Quick Quiz

Which of these correctly uses Bridging Through 10 to solve 7 + 8?

7 + 8 = 15

7 + 3 = 10, then 10 + 5 = 15

8 + 2 = 10, then 10 + 5 = 15

7 + 7 = 14, then 14 + 1 = 15

The Correct Answer Is:

Option C correctly takes 2 from 7 to make 8 into 10 (8 + 2 = 10), leaving 5 from the original 7. Then it adds 10 + 5 to get 15. Options A and D are just regular addition or incorrect steps, while Option B tries to make 7 into 10, but 8 is closer to 10.

Real World Connection

In the Real World

When you're shopping at a local kirana store and quickly calculating the total cost of two items, say a biscuit packet for Rs 9 and a juice box for Rs 6, you can mentally use Bridging Through 10 to get Rs 15. This skill is also used by street vendors and auto-rickshaw drivers to quickly calculate fares or change without a calculator.

Key Vocabulary

Key Terms

ADDITION: The process of combining two or more numbers to find their total | BRIDGING: A strategy to make calculations easier by reaching a round number like 10 | MENTAL MATH: Doing calculations in your head without using paper or a calculator | SUM: The result of adding two or more numbers together

What's Next

What to Learn Next

Once you've mastered Bridging Through 10, you can explore 'Bridging Through 100 in Addition' for larger numbers. This builds on the same idea, helping you add bigger numbers mentally and more efficiently!