Multiplication of Two-digit Numbers Below 50
Multiplication of two numbers can be done in a few seconds. First see the process below.
Rule:- a) Multiply first number by tens’ digit of the second number.
b) Add zero at the end of previous result.
c) Multiply first number by the unit digit of the second number.
d) Add the two previous step
Multiplication :- 24 by 28
Solution:- Multiply by 2:24×3=48
Add zero at the end : 480
Multiply 24 by 8: 24×8=192
Add the two previous result: 480+192=672
Multiplication : – 36 by 47
Solution :- Multiply 36 by 4:36×4=144
Add zero at the end : 1440
Multiply 36 by 7 : 36×7=252
Add the two previous results : 1440+252=1692
Multiplication : – 46 by 48
Solution :- Multiply 46 by 4 : 46×4=184
Add zero at the end : 1840
Multiply 46 by 8 : 46×8=368
Add the two previous results : 1840+368=2208 Multiplication of two numbers can be done using the Vedic Mathematics technique.
To perform multiplication of two-digit numbers below 50, you can use a simple method that involves breaking down the numbers into their place values and then multiplying accordingly. Here’s a step-by-step process:
- Identify the two-digit numbers: Let’s consider an example where we want to multiply 34 by 27.
- Break down the numbers: Split each number into its place values. In our example, 34 can be expressed as 30 + 4, and 27 can be expressed as 20 + 7.
- Perform multiplication: Multiply each place value of one number by each place value of the other number. In our example:
- Multiply 30 by 20: 30 * 20 = 600.
- Multiply 30 by 7: 30 * 7 = 210.
- Multiply 4 by 20: 4 * 20 = 80.
- Multiply 4 by 7: 4 * 7 = 28.
- Add the results: Add all the products from the previous step to find the final result. In our example, add 600 + 210 + 80 + 28 = 918.
- Understand the result: The result of multiplying 34 by 27 is 918.
This method can be applied to any two-digit numbers below 50. The key is to break down the numbers into their place values and perform the multiplication accordingly. By practicing and familiarizing yourself with this method, you can efficiently perform these calculations mentally or with minimal written work.
It’s worth noting that this method works well for two-digit numbers below 50 due to their relative simplicity. For larger numbers or numbers above 50, additional techniques such as long multiplication or a calculator may be more suitable.
To perform multiplication of two-digit numbers below 50, you can use a straightforward step-by-step method. Here’s the process:
- Understand the problem: Let’s say you want to multiply two two-digit numbers below 50, such as 34 and 47.
- Align the numbers: Write down the two numbers, aligning them vertically based on their place values (tens and ones). In this case, it will be 34
x 47
Begin the multiplication: Start with the ones place (rightmost digit) of the bottom number (7 in this case). Multiply it by each digit of the top number (starting from the right).a. Multiply the ones digit: Multiply 7 by 4 (the ones digit of 34). Write down the result (28) below the line, aligned with the ones place: 34
x 47
——
28
b. Multiply the tens digit: Multiply 7 by 3 (the tens digit of 34). Write down the result (21) below the line, shifted one place to the left (tens place): 34
x 47
——
2128 Add the partial products: Add the two partial products together. Start with the rightmost column (the ones column) and move left if necessary.
a. Add the ones column: Add the digits in the ones column (8 + 1 = 9). Write down the result (9) below the line in the ones place: 34
x 47
——
21
+28
——
159b. Add the tens column (if applicable): In this case, there is no tens column to add.
- Write the final product: The final product is the result obtained after adding the partial products. In this example, the product of 34 and 47 is 159.
By following these steps, you can multiply two-digit numbers below 50. It’s important to maintain proper alignment and carry over when necessary. Regular practice will help you become proficient in performing these calculations accurately and efficiently.
When multiplying two-digit numbers below 50, there are several techniques you can use to simplify the process. Here’s a step-by-step method to multiply two-digit numbers below 50:
- Understand place value: Remember that the two-digit numbers consist of a tens digit and a ones digit. The tens digit represents a multiple of ten, while the ones digit represents the remaining value.
- Decompose the numbers: Break down both two-digit numbers into their place values. For example, if you have 32, it can be decomposed as 30 (tens) + 2 (ones). Similarly, if you have 47, it can be decomposed as 40 (tens) + 7 (ones).
- Multiply tens digits: Multiply the tens digits of the two numbers together. This will give you the tens part of the final product. For example, if you have 30 * 40, the product of the tens digits is 3 * 4 = 12.
- Multiply cross products: Multiply the tens digit of one number by the ones digit of the other number and vice versa. This will give you the cross products. For example, if you have 30 * 7, the cross product is 3 * 7 = 21. Similarly, if you have 40 * 2, the cross product is 4 * 2 = 8.
- Multiply ones digits: Multiply the ones digits of the two numbers together. This will give you the ones part of the final product. For example, if you have 2 * 7, the product of the ones digits is 14.
- Add the results: Add the products from steps 3, 4, and 5 to get the final product. For example, using the previous examples, the final product would be 1200 + 21 + 8 + 14 = 1243.
This method breaks down the multiplication of two-digit numbers below 50 into smaller, more manageable steps. It allows you to focus on multiplying smaller numbers and then combining the results to find the final product.
By practicing this technique and familiarizing yourself with the multiplication facts of single-digit numbers, you can quickly and accurately multiply two-digit numbers below 50.