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When we multiply two numbers, the digit sum of the product of their digit sums will be equal to the digit sum of the product of the original numbers.
Contents
What are the four rules of multiplication?
- Any number times zero is always zero. …
- Any number times one is always the same number. …
- Add a zero onto the original number when multiplying by 10. …
- The order of factors does not affect the product. …
- Products are always positive when multiplying numbers with the same signs.
Can you tell how many digits will be in the answer of a multiplication problem?
It’s generally about 2*n, where n is the number of digits. You can bound the number of digits as follows: floor(log x)*floor(log y) <= digits(x*y) <= ceil(log x)*ceil(log y) log base 10.
How to Check Multiplication Answers Using Digit Sums – MATH-Inic
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Math Tricks: Multiplication (1 of 30) How to Quickly Check Your Multiplication Without a Calculator! – YouTube
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How to check math multiplication – cast out nines trick – YouTube
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How to Check Multiplication | Sciencing
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- Summary of article content: Articles about How to Check Multiplication | Sciencing Multiply your answers from the first two steps and reduce the answer to a single digit by adding the digits together. In this example, you would … …
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How To Check Your Multiplication Without Calculator
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How To Check Your Multiplication Without Calculator
Here is a simplest method to check your multiplication. You Dont need a calculator, or a Teacher to check it. … - Most searched keywords: Whether you are looking for
How To Check Your Multiplication Without Calculator
Here is a simplest method to check your multiplication. You Dont need a calculator, or a Teacher to check it. Multiplication,Ipl,Ipl,How toHere is a simplest method to check your multiplication. You Dont need a calculator, or a Teacher to check it. Some times we do the multiplication, but we dont check the answer. For that iether we have to depend on the calculator or to the teacher or … - Table of Contents:
how to check the answer in multiplication
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Error 403 (Forbidden)
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How to Check Multiplication Answers Using Digit Sums
If you have ever multiplied large numbers together, then you know that it is easy to get lost and make mistakes.
And sometimes it doesn’t help solving it again to check, especially if you get a different answer the second time. You never know which one is correct!
In this pre-Algebra tip, we look at an easy way of checking your answers to multiplication problems.
We will look at how we can use digit sums to check our multiplication answers.
Digit Sums
The digit sum of a number is found by adding all the digits in the number. If the sum is more than one digit, we add all the digits again until we get a single digit answer.
For example:
To find the digit sum of 35, we add 3 + 5.
So the digit sum is 8.
To find the digit sum of 57, we add 5 + 7.
The sum is 12 which has more than one digit, so we repeat the process by adding 1 + 2.
So the digit sum of 57 is 3.
Checking Multiplication by Digit Sums
When we multiply two numbers, the digit sum of the product of their digit sums will be equal to the digit sum of the product of the original numbers.
That’s quite a mouthful!
Let’s take an example so we get how simple it really is:
363 x 11 = 3,993
The digit sum of 363 is 3.
The digit sum of 11 is 2.
Multiply them together: 3 x 2 = 6
This is equal to the digit sum of 3,993, which is 6.
So, if the digit sums you get are equal then your multiplication answer is most probably correct*.
If the digit sums are not equal, then your answer is definitely incorrect!
[ *If your answer has the same set of digits as the correct answer like 3,939, it will give the same digit sum even if it is not correct. ]Multiple Choice Questions
If you are given a multiple choice question, you can also use digit sums to eliminate choices that are definitely wrong.
For example:
What is 352 x 867?
302,514 305,184 305,284 315,284
The digit sum of 352 is 1.
The digit sum of 867 is 3.
So, the digit sum of the answer should be equal to 1 x 3, which gives us 3.
We can eliminate all the choices that don’t have 3 as the digit sum.
This leaves us with 305,184 as the correct answer.
Did you know that digit sums can also be used to check other arithmetic computations? Read more about it in Chapter 2 of the “Algebra Made Easy as Arithmetic” book.
How to Check Multiplication
If you’ve ever taken a quiz or test on multiplication and wondered if your answers were correct, there is a clever way to check yourself for accuracy. This method involves simple mathematical skills, mainly relying on the use of addition. Once you learn the process of checking your answers, you can easily and quickly determine if you answered correctly or if you need to change your answer.
Add the digits of the first factors that you multiplied. For example, if you multiplied 506 times 437, add 5, 0 and 6 to get 11. If the number has more than one digit, add the digits until you arrive at a single digit. In this case, you would add 1 and 1 to get 2.
Repeat the process from Step 1 for the second factor. In this case, you would add 4, 3 and 7 to get 14. Then you would add the 1 and the 4 to get 5.
Multiply your answers from the first two steps and reduce the answer to a single digit by adding the digits together. In this example, you would multiply 2 and 5 to get 10. Since 1 plus zero is 1, this is your final answer for this stage of the process.
How To Check Your Multiplication Without Calculator
How To Check Your Multiplication Without Calculator
Here is a simplest method to check your multiplication. You Don’t need a calculator, or a Teacher to check it. Some times we do the multiplication, but we dont check the answer. For that iether we have to depend on the calculator or to the teacher or others. Sometimes we simply leave it as it is on overconfidence. Sometimes we spend double time for checking it. You can try this handy,Powerful and Flawless method.
Have you ever thought of checking your multiplications?
Or you simply leave it over confidence?
Here is a unique way of checking your multiplication.
Any kind of multiplication, don’t leave it unchecked. it takes hardly 2 minutes or less to check it. try this method.
School-boy to Teachers, you will be helpful by this.
Suppose we are multiplying
459 X 386
The result is 177174
How you know you math is right. Specially during exam time.
Here is a simplest method.
Draw a big X.
Add the digits 4, 5, and 9 , it is 18, but you have to add the digits untill
it comes to ONE digit number, i.e 1 + 8 ( in this case) is 9.
Write this 9 in the left side of X.
Similarly add 3, 8, 6 and write on the right side, just opposite to
9. In this case it is 17 i.e 8.
Now multiply 9 X 8= 72 again add 7 and 2 . It is 9.
Write this 9 on the top of X.
Now add the result i.e 1,7,7,1,7,4 it is 27 i.e 2+ 7= 9.
So the multiplication is accurate.
Applicable for any type of Multiplication.
So you have finished reading the how to check the answer in multiplication topic article, if you find this article useful, please share it. Thank you very much. See more: how to check multiplication with division, answer in multiplication is called, how to check a division problem, how to check multiplication using addition, how to check 2-digit multiplication, answer in division, parts of multiplication, 30 multiply 30
