Introduction to Partial Products Calculator
Partial products calculator is a free source that helps you to find the partial product of given numbers in a few seconds. Our tool evaluates the product of given numbers but uses a partial products method rather than the regular multiplication method.
The partial products method is the advanced form of usual multiplication its procedure is sometimes confusing, especially for beginners. That is why we introduce the partial product calculator that provides you the solution to your given question without manual calculation.
What is a Partial Product?
Partial Product is the multiplication of numbers when you break those numbers into ones, tens, and hundred forms and then multiply them as per their digit places and lastly add them to get the solution of given numbers.
Partial product is a different method from the regular multiplication method but it gives the same answer as we get when multiplying numbers with regular multiplication. There is a specific rule that is used by partial products calculator is given below.
$$ ( a + b) \times (p + q) \;=\; (a \times p) + (a \times q) + (b \times p) + (b \times q) $$
In this rule, we add break numbers a and b,p and q then add two numbers. Place a multiplication sign to separate both numbers.
How to Multiply Using Partial Products
The partial products multiplication calculator uses the partial products method to multiply numbers in a simpler way than regular multiplication because it break down the given number and then find the product.
Let's learn how to multiply numbers with the help of an example using the partial products method in steps. These steps are:
Step 1:
It take both the numbers 24 and 13 break them down into two numbers and then it add them such as (20+4)*(10+3). It should be remembered while multiplying place order should be maintained and written with numbers.
Step 2:
After partial product finder break the numbers it multiply the first digit with another number’s first digit and 2nd digit one by one as by keeping its number in place.
$$ (20 \times 10), (4) \times (10), (3) \times (20), (3) \times (4) $$
Step 3:
After multiplication, Partial products calculator get numbers (200),(40),(60), and (12) and then add all these numbers such as
$$ 200+40+60+12 $$
We get 312 as the result.
Step 4:
In the below example, multiplication is done as per the given instructions that are mentioned in steps but it is represented vertically.
Step 5:
To compare regular and partial multiplication partial product multiplication calculator use the same example that gives the same result but it uses two different methods for the product.
\begin{matrix} 2 4 \\ \times 13 \\ \hline 12 \\ 60 \\ 40 \\ + 200 \\ \hline 312 \\ \end{matrix}
\begin{matrix} 2 4 \\ \times 13 \\ \hline 72 \\ + 2 4 0 \\ \hline 312 \\ \end{matrix}
Show How to Use Partial Products to Multiply 48 by 71
To multiply 48 by 71 using partial products, you can follow these steps:
- Break down all these numbers and keep them into their place value components:
- 48 can be written as 40+8 and 71 can be written as 70+1
- Multiply each place value component of one number by each place value component of the other number:
- Multiply 40 by 70, 40 by 1, 8 by 70, and 8 by 1
- This results in four partial products.
- Add them to get the final result:
$$ 40 \times 70 \;=\; 2800 $$
$$ 40 \times 1 \;=\; 40 $$
$$ 8 \times 70 \;=\; 560 $$
$$ 8 \times 1 \;=\; 8 $$
- Add the partial products:
$$ 2800+40+560+8 \;=\; 3408 $$
So, 48 multiplied by 71 equals 3408
What is the Partial Product of 35x7?
- To find the vertical partial product of 35 multiplied by 7, the partial product calculator uses the method of partial products. Here's how:
Write the question.
\begin{matrix} 35 \\ \times 7 \\ \end{matrix}
- Multiply each digit of the top number (35) by the single-digit number below it (7), starting from the right: 5 multiplied by 7 gives 35 and 3 multiplied by 7 gives 21.
- Write the partial products one below the other, aligned according to their place values:
\begin{matrix} 35 \\ \times 7 \\ \hline 245 \\ +\; 2100 \\ \hline 2345 \end{matrix}
So, the vertically partial product of 35 multiplied by 7 is 245 for the ones place and 2100 for the tens place, resulting in a total of 2345
Partial Products Calculator: How to Use it
The partial products multiplication calculator has an easy-to-use design so that you can use it easily to calculate the multiplication questions.
Before adding the input of different types of numbers for product solutions, you must follow some simple steps to get the exact solution of your problem. These steps are:
- Enter the first number in the input box for the partial product.
- Enter the second number in the input box for the partial product.
- Review your input number value before hitting the calculate button to start the calculation process.
- Click on the “Calculate” button to get the desired result of your given problem.
- If you want to try out our partial product finder first then you can use the load example for a better understanding.
- Click on the “Recalculate” button to get a new page for solving more number values of partial multiplication.
Final Result of Partial Product Calculator
Partial products calculator gives you the solution to a given partial product problem when you add the input to it. It provides you with solutions to partial product problems in a step-wise process. It may contain as:
- Result Option
You can click on the result option and it provides you with a solution for products of different numbers
- Possible Step
When you click on the possible steps option it provides you with the solution where all calculation steps are included in detail.
Advantages of Partial Products Multiplication Calculator
The partial product multiplication calculator gives you tons of advantages whenever you use it to calculate number problems for the partial multiplication method. These advantages are:
- Our partial product calculator saves your time and effort from doing complex calculations of the partial multiplication of more than two digits number in less than a minute
- It is a free-of-cost tool so you can use it to find the product of two or more than two terms.
- It is an adaptive tool that allows you to solve various types of numbers (decimal, negative number, fraction) questions
- You can use this partial product finder for practice so that you get a strong hold on this concept.
- It is a trustworthy tool that provides you with the exact solutions as per your input number whenever you use it to calculate the multiplication problem.
- Partial products calculator provides you solution with a complete process in a step-by-step method so that you get more clarity about the partial product method.
