Vertical multiplication is a method used to multiply numbers by aligning them vertically, with one number on top of the other. This layout makes it easier to multiply digits step by step, especially when dealing with multi-digit numbers.
Master vertical multiplication with step-by-step practice problems. Learn multi-digit multiplication methods, improve accuracy, and build confidence with guided exercises.
Vertical multiplication is a method used to multiply numbers by aligning them vertically, with one number on top of the other. This layout makes it easier to multiply digits step by step, especially when dealing with multi-digit numbers.
Solving Vertical Multiplication is easy when following these steps:
1. Write the Numbers Vertically Properly:
Place the larger number on top and the smaller number below it, aligning the digits by their place values (ones under ones, tens under tens, etc.) .
2. Multiply Each Digit Systematically:
Start by multiplying the bottom number’s rightmost digit (ones place) with each digit of the top number, working from right to left. Write the results below, ensuring they are aligned properly.
3. Add the Carry:
If the product of two digits exceeds 9, write down the ones place and carry the tens place to the next column.
4. Shift for Place Value:
When moving to the next digit of the bottom number, shift the results one place to the left (to account for place value).
5. Add the Results:
After multiplying with all digits of the bottom number, add the rows of partial products to find the final result.
Learn the multiplication tables thoroughly and follow these rules:
Write down the exercise correctly:
The ones under the ones, the tens under the tens, and the hundreds under the hundreds.
The number with more digits will be written above the one with fewer digits.
When the product is greater than it is stored at the top left and must be remembered to add it to the next result.
Before moving on to multiply the next digit, the "numbers stored" at the top left must be erased to avoid confusion.
We will add a below the result to indicate that we have moved to the next digit, each row of results will start one place to the left in relation to the previous row.
To solve this problem, we will multiply 24 by 7 using standard multiplication:
The final result of these calculations is:
Since the unit's place is 8 and the ten's place is 16, our final answer is .
Therefore, the solution to the problem is .
Answer:
To solve this problem, we'll follow these steps to multiply by :
First, set up the numbers for vertical multiplication:
Write down and carry over .
Add the carry-over , resulting in .
Write down as there are no more digits to multiply.
Combining both steps, we find the product of and is:
Therefore, the solution to the problem is .
Answer:
To solve this problem, we'll employ vertical multiplication.
Step 1: Set up the multiplication:
×
---------
Step 2: Multiply each digit of 62 by 4. We start with the ones place, then the tens place.
Step 3: Consider the place value for each part of the calculation:
The result from multiplying the tens digit by 4 represents because it is .
Step 4: Add the two partial results:
8
+ 240
---------
248
Therefore, the solution to the problem is .
Answer:
To solve this problem, we will multiply by using standard multiplication techniques:
Therefore, the product of is .
Answer:
To solve this problem, we'll follow these steps:
Let's work through each step:
Step 1: We will multiply by . The multiplication can be broken down as follows:
Write down and carry over to the next column (the tens place).
Add the carried over to :
Write down . Since we're only multiplying a two-digit number by a one-digit number, our result directly follows:
Therefore, the solution to the problem is .
Answer: