Add, subtract, multiply and divide whole numbers
Key points :-
Addition of Whole Numbers
- Concept: Combining two or more numbers to get a total.
- Method: Align the digits according to place value (ones, tens, hundreds, etc.), and add starting from the rightmost digits.
- Example:
456+678=1134
Subtraction of Whole Numbers
- Concept: Taking one number away from another to find the difference.
- Method: Align the digits based on place value, subtract starting from the rightmost digits.
- Regrouping (Borrowing): When the top digit is smaller than the bottom digit, borrow from the next place value.
- Example:
732−489=243
Multiplication of Whole Numbers
- Concept: Repeated addition of the same number.
- Method: Multiply the numbers and use the distributive property if necessary to break down larger numbers.
- Example:
23×4=92- Break down:
20×4=80
3×4=12
80+12=92
- Break down:
Division of Whole Numbers
- Concept: Splitting a number into equal parts.
- Method: Divide the dividend by the divisor to find the quotient. If there’s a remainder, write it as “remainder” or as a fraction/decimal.
- Example:
56÷7=8
If there’s a remainder:
17÷5=3 R 2
Important Points for Each Operation
- Addition: Always check if carrying is required.
- Subtraction: If borrowing is needed, start with the highest place value.
- Multiplication: Multiply step by step and add the results.
- Division: Divide step by step, check the remainder, and ensure division is correct.
Learn with an example
🎯 Subtract.
- Subtract the ones. You need to carry over first. Subtract 12–4.
- Subtract the tens. You need to carry over first. Subtract 10–4.
- Subtract the hundreds. You need to carry over first. Subtract 11–3.
- Subtract the thousands. Subtract 2–1.
- The difference is 1,868.
👉 Divide:
- The first digit is equal to 5. Start with the first digit. Divide the thousands.
- Bring down the hundreds. Divide the hundreds.
- Bring down the tens. Divide the tens.
- Bring down the ones. Divide the ones.
- Write the answer:
👉 Multiply.
8,633 x 6 =_______
- Multiply the ones. Remember to carry over.
- Multiply the tens. Multiply 3 times 6, then add 1. Remember to carry over.
- Multiply the hundreds. Multiply 6 times 6, then add 1. Remember to carry over.
- Multiply the thousands. Multiply 8 times 6, then add 3.
- The product is 51,798.
Let’s practice!🖊️