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'll follow these steps:
Now, let's work through each step:
Step 1: We are given the numbers and .
Step 2: We will multiply these numbers together:
= .
Therefore, the solution to the problem is .
Answer:
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: Multiply . This results in , which includes the 5 in the ones place, and we carry over 4.
Step 2: Next, multiply (from the tens place), which equals . Add the carried-over 4 to get . This 22 represents 220 when taking place value into account.
Step 3: Combining steps 1 and 2, we put the from step 1 in the ones digit and the result from step 2 as tens (which corresponds to ).
Therefore, the solution to the problem is , aligning with choice 4.
Answer:
To solve this multiplication problem, follow these clear steps:
Now, let's perform the calculations:
Step 1: Multiply the units digit of 6 with the number 26:
- . Write 6 in the units place of the answer, and carry over the 3.
- Next, multiply . Then, add the carryover (3) to 12, resulting in 15.
Step 2: Write 15 next to the 6 in the result. Thus, the complete multiplication gives 156.
Therefore, the solution to the problem is .
Answer:
To solve this problem, we'll use long multiplication. Here's how to proceed step-by-step:
Therefore, the product of 28 and 5 is .
Answer:
We will solve the problem using direct multiplication of the two numbers, 30 and 4.
Steps:
First, multiply the one's place of 30 by 4:
Second, multiply the ten's place of 30 by 4:
The result from the tens multiplication is over the magnitude of the number 30 (since it's in the tens place), so we already account for place by multiplying 3 by 4 directly forming a product 12, no tens digit carries from one's digit.
Combine these results to get the total product:
Therefore, the product of and is .
By referencing the multiple-choice options provided, the correct choice matches the calculation we performed and is choice 3: .
Answer: