Fun with Give and Take - CBSE Class 3 Maths NCERT

Welcome, young mathematicians, to the exciting world of "Fun with Give and Take"! This chapter from your NCERT Maths book is all about making friends with numbers, especially through addition and subtraction. Have you ever counted your toys, shared candies with friends, or helped your parents count money? That's exactly what 'Give and Take' is about! You'll learn how to combine numbers (give more) and how to find out how many are left (take away). We'll explore these ideas using simple, fun methods, including carrying over and borrowing. By the end of this journey, you'll be super confident in solving problems involving adding and taking away, making everyday calculations a breeze!

What is 'Fun with Give and Take'?

The chapter 'Fun with Give and Take' introduces us to the fundamental operations of addition and subtraction, but in a friendly and engaging way, perfect for Class 3 students. Think of 'Give' as adding more to what you already have, and 'Take' as subtracting, or removing, a part from a whole. This chapter uses everyday examples to make these concepts relatable. For instance, if you give 5 marbles to your friend who has 10, you are adding to their collection (10 + 5 = 15). If your friend takes 3 marbles back from their 15, they are subtracting (15 - 3 = 12).

We will learn how to perform these operations with two-digit and three-digit numbers. A very important part of this is understanding place value – knowing that a digit's value depends on its position (ones, tens, hundreds). When we add, sometimes the sum of the ones place is more than 9, so we have to 'carry over' to the tens place. Similarly, when we subtract, sometimes we need to 'borrow' from the tens or hundreds place if the digit on top is smaller. Mastering these techniques will build a strong foundation for more complex maths problems in the future.

Adding Numbers with Carrying Over

  1. Step 1: Understand Place Value — Always arrange the numbers one below the other, making sure the ones digits are aligned, the tens digits are aligned, and so on. For example, to add 34 + 28, write: 34 + 28
  2. Step 2: Add the Ones Place — Start adding from the rightmost column, which is the ones place. In our example (34 + 28), add 4 + 8. This equals 12. Since 12 is a two-digit number, we write down the '2' in the ones column below the line. The '1' (which means 1 ten) is carried over to the tens column.
  3. Step 3: Add the Tens Place (and Carried Over Number) — Now, move to the tens column. Add the digits in the tens place, along with any number you carried over. In our example, add 3 + 2, and then add the '1' that was carried over from the ones place: 3 + 2 + 1 = 6. Write '6' in the tens column below the line.
  4. Step 4: Get the Final Sum — Read the numbers you wrote below the line. For 34 + 28, the answer is 62. Remember, practice makes perfect!

Subtracting Numbers with Borrowing

  1. Step 1: Arrange and Start from Ones — Just like addition, arrange the numbers vertically, aligning their place values. Always start subtracting from the ones place (the rightmost column). For example, to subtract 52 - 27, write: 52 - 27
  2. Step 2: Check the Ones Place — Look at the digits in the ones place. Can you subtract the bottom digit from the top digit? In 52 - 27, we need to subtract 7 from 2. Since 2 is smaller than 7, we cannot directly subtract.
  3. Step 3: Borrow from the Tens Place — Since we can't subtract in the ones place, we need to 'borrow' from the tens place. The '5' in the tens place of 52 means 5 tens (or 50). We borrow 1 ten from it. So, '5' becomes '4' (4 tens left). The borrowed 1 ten (which is 10 ones) is added to the '2' in the ones place, making it 12 (10 + 2).
  4. Step 4: Subtract the Ones Place (After Borrowing) — Now, perform the subtraction in the ones place with the new numbers: 12 - 7 = 5. Write '5' in the ones column below the line.
  5. Step 5: Subtract the Tens Place — Move to the tens place. Remember, the '5' became '4' because we borrowed from it. Now subtract the digits in the tens place: 4 - 2 = 2. Write '2' in the tens column below the line.
  6. Step 6: Final Difference — The result of 52 - 27 is 25. Borrowing can be tricky, so take your time and practice!

YoLearn AI Tutor's Exam Tips for Give and Take

To excel in 'Fun with Give and Take', remember these key tips from your YoLearn AI Tutor:

  1. Align Digits Properly: Always write numbers one below the other, making sure the ones digits are in line, tens digits are in line, and hundreds digits are in line. Misalignment is a common cause of errors.
  2. Start from the Ones Place: Whether adding or subtracting, always begin with the rightmost column (the ones place). Work your way left to the tens, then hundreds.
  3. Don't Forget to Carry Over! In addition, if the sum of a column is 10 or more, write the ones digit and carry over the tens digit to the next column on the left.
  4. Borrow Carefully: In subtraction, if the top digit is smaller than the bottom digit in a column, you must borrow from the digit to its left. Remember to reduce the digit from which you borrowed by one, and add 10 to the digit that borrowed.
  5. Practice, Practice, Practice: The more you practice, the faster and more accurate you'll become. Use objects like beads or buttons to visualize carrying and borrowing if you find it difficult.

Practice Questions with Solutions

  • Q: Add 47 + 35 A: Step 1: Align the numbers. Add the ones place: 7 + 5 = 12. Write '2' in the ones column and carry over '1' to the tens column. Step 2: Add the tens place, including the carried over '1': 4 + 3 + 1 = 8. Write '8' in the tens column. Final answer: 82
  • Q: Subtract 63 - 28 A: Step 1: Align the numbers. Look at the ones place: 3 - 8. Since 3 is smaller than 8, we borrow from the tens place. Step 2: Borrow 1 ten from '6' (making it '5'). Add 10 to '3' (making it '13'). Now, subtract in the ones place: 13 - 8 = 5. Write '5' in the ones column. Step 3: Move to the tens place. Subtract the new tens digits: 5 - 2 = 3. Write '3' in the tens column. Final answer: 35
  • Q: Add 125 + 138 A: Step 1: Align the numbers. Add the ones place: 5 + 8 = 13. Write '3' and carry over '1' to the tens column. Step 2: Add the tens place with the carried over '1': 2 + 3 + 1 = 6. Write '6' in the tens column. Step 3: Add the hundreds place: 1 + 1 = 2. Write '2' in the hundreds column. Final answer: 263
  • Q: Subtract 300 - 145 A: Step 1: Align numbers. Start with ones: 0 - 5. Cannot subtract. Try to borrow from tens. Step 2: Tens digit is '0', so cannot borrow. Move to hundreds. Borrow 1 hundred from '3' (making it '2'). This 1 hundred (10 tens) goes to the tens place, making it '10'. Step 3: Now, from the '10' in the tens place, borrow 1 ten (making it '9'). Add this 1 ten (10 ones) to the ones place, making it '10'. Now, subtract ones: 10 - 5 = 5. Write '5'. Step 4: In the tens place, we have '9' (after borrowing). Subtract: 9 - 4 = 5. Write '5'. Step 5: In the hundreds place, we have '2' (after borrowing). Subtract: 2 - 1 = 1. Write '1'. Final answer: 155

Frequently Asked Questions

What is the main idea of 'Fun with Give and Take'?

The main idea is to teach addition (giving or combining) and subtraction (taking away or finding the difference) in a practical and easy-to-understand way, especially for two-digit and three-digit numbers. It uses real-life situations to make learning enjoyable and relevant to everyday counting and sharing.

What is 'carrying over' in addition?

Carrying over happens when the sum of digits in one place value (like the ones place) is 10 or more. You write down the ones digit of the sum and 'carry' the tens digit to the next place value column (e.g., from ones to tens), adding it there.

When do we need to 'borrow' in subtraction?

You need to 'borrow' when the digit on top in a particular place value column (e.g., ones place) is smaller than the digit below it. You borrow 1 from the digit in the next higher place value column, which adds 10 to your current column, allowing you to subtract.

Why is place value important in this chapter?

Place value is crucial because it helps us understand the true worth of each digit in a number. When adding or subtracting, we must align numbers by their place values (ones, tens, hundreds) correctly to ensure our calculations are accurate, especially when carrying over or borrowing.