If you happen to be viewing the article Understanding Double Digit Multiplication with Solved Examples? on the website Math Hello Kitty, there are a couple of convenient ways for you to navigate through the content. You have the option to simply scroll down and leisurely read each section at your own pace. Alternatively, if you’re in a rush or looking for specific information, you can swiftly click on the table of contents provided. This will instantly direct you to the exact section that contains the information you need most urgently.
multiplication It is one of the simplest mathematical operations and it refers to combining numbers or other quantities according to specific rules to obtain their product. It is the process of repeatedly adding a number to another number. For example, 6X5 means we add 6, 5 times; 6+6+6+6+6=30. This addition process is very complicated and so these multiplication methods come in handy.
Before we begin, we should at least know the basics of multiplication
-
Multiply (first number) X Multiplier (second number) = product
-
Any number multiplied by 0 equals the product 0. E.g.- 5×0=0
-
Any number multiplied by 1 equals the same number. E.g.- 5×1=5
Contents
Three simple methods of two-digit multiplication
There are 3 basic methods of 2-digit to 2-digit multiplication, which are discussed below.
-
traditional method
-
box/window method
-
Lattice method
1. Using the traditional method
25X42=?
Step 1: Set up a problem. So we will have to align them according to their place value.
Step 2: Multiply the number by the whole product of the multiplier one and ten separately.
Note: before making the second digit of the multiplier, we must put 0.
Step 3: Add both the values obtained by multiplying separately.
Bearing = 5
Multiplication step 1
5X2 = 10, 1 will be moved to the tens place
Multiplication step 2
2X2 = 4 and +1 that we
4X5 = 20, 2 carried over
4X2 = 8 and +2 (carry)= 10. We list 1 as well because no other number is available.
Multiplication step 3
Multiplication step 4
50+1000 we get 1050 which is our final product.
2. Box/Window method
32X34=?
Step 1: Create a box table or 2X2 grid because we are doing a 2-digit multiplication equation.
Step 2: Break these factors into expanded forms. So 32 becomes 30 and 2; 34 becomes 30 and 4.
Note: Mark the expanded multiplier form on top and the expanded multiplier form on the left side of the grid.
Step 3: We multiply the numbers that fit in each space of the box. Follow the image above.
Step 4: Add all the small products we got to get the final product.
Extended forms of factors
Step 2 Box method
900+60+120+8=1088 -> final product
3. Lattice method
25X42=?
Step 1: Make a grid that matches the number of digits required. In this case, we need a 2X2 grid because we are multiplying 2 numbers.
Note: There is no need to expand the factors, so we directly name the multiplier at the top of the grid and the multiplier on the right side of the grid.
Step 2: Multiply the numbers that fit in each space and write the tens place value of the product at the top of the box and the ones place value at the bottom of the box.
Step 3: Add the numbers on the same line.
Step 1 of Lattice Method
5X4=20
2X4=08 (put 0 in ten)
5X2=10
2X2=04
Steps of Lattice Method
We put 0 as is because there is no other number to add.
4+1+0=5
0+8+2=10 (1 directly entered thousands of places)
So our final product is 1050.
Solved examples
Below are 2-digit two-digit multiplication problems:
Q1. 98X66=?
solution:
Solving Q1
Q2. 75X39=?
solution:
Solving Q2
Practice on yourself
Q1. 62X70=
Answer: 4340
Q2. 49X10=
Answer: 490
Q3. 27X19=
Answer: 513
Summary
In this article, we were able to understand 3 basic methods that can be used to multiply 2-digit numbers. If we see, the traditional method is more convenient and it is very easy to multiply numbers with more than 2 digits. We also understood the steps involved in all three methods with the help of pictures that illustrated the procedures. You can visit our website to download and practice multiplication of two digit numbers worksheets for better understanding.
Thank you so much for taking the time to read the article titled Understanding Double Digit Multiplication with Solved Examples written by Math Hello Kitty. Your support means a lot to us! We are glad that you found this article useful. If you have any feedback or thoughts, we would love to hear from you. Don’t forget to leave a comment and review on our website to help introduce it to others. Once again, we sincerely appreciate your support and thank you for being a valued reader!
Source: Math Hello Kitty
Categories: Math
