How to multiply a larger number by two digit numbers word problems
Help your kids learn how to multiply a larger number by two-digit numbers word problems using simple and unique solving steps.
This outstanding multiplication word problems resource will provide kids with mental representation and reading comprehension skills, vital in solving all math word problems.
Above all, our objective is to guide 4th Graders to identify the problem type and keywords in all multiplication problems.
Simple steps to use while multiplying a larger number by two digit numbers word problems
We will offer your fourth Graders simple steps to use while multiplying a larger number by two-digit number word problems. In fact, they will experience less difficulty solving inconsistent word problems correctly.
Besides, these steps are simple, short, and unique to provide your kids with the best multiplication problem-solving approach.
Also, to keep learners more engaged, we have added some examples of solving steps and techniques on how to multiply a larger number by two-digit numbers word problems.
IDENTIFY THE PROBLEM
To identify the problem, study the word problem very well to understand the scenario that the problem wants you to handle. Here, we will try to figure out the most important numbers and keywords in the word problem while reading it.
So, suppose a word problem requires you to perform a multiplication operation. In that case, you will come across one of the following keywords in the word problem: - times, multiplied by, product, product of, factor, of, multiply, times, multiple, double, triple, groups, by, twice, area, equal groups, every, in all, total, increased by, as much, each, lots of, groups of, per, etc.
Note: One key Element for learners to understand is that they should not always rely on keywords alone. That is to say; the same keyword can have different meanings in different word problems.
For this reason, we reiterate on the importance of reading the question very carefully to understand the situation that the word problem is describing, then figure out exactly which operation to use
STRATEGIZE OR GATHER RELEVANT INFORMATION
As you move on to this step, ask yourself this pertinent question. "How Am I going to tackle this problem?"
It is important to note that each word problem may require a different format. Hence, the key points below will enable young math learners to tackle any format however it comes.
- As mentioned above, from the keyword(s) in the word problem, you will have the ability to know whether or not you need to perform a Multiplication Operation.
- However, it would be best not to depend entirely on keywords. Also, try to understand the situation that the problem is describing.
- And after knowing the operation you will perform, create short sentences to represent the given word problem.
CREATE THE EQUATION
Using what you know from the steps above, you have to write down a numerical equation representing the information in the word problem.
SET UP AN EQUATION
From step 3 above, multiply the numbers using regrouping or other multiplication methods like long multiplication, grid multiplication, or lattice to determine the result. Remember always to include the unit of measurement in your final answer.
HECK YOUR WORK
Finally, check if your answer makes sense. Do this by estimating your final answer and see if it is close to what you expected. However, if the answer is not what you expected, go back to step one and start all over again.
Examples to illustrate how to multiply a larger number by two digit numbers word problems
Example One
Step 1:After carefully reading the problem, the important numbers you'll come across are 78,253 and 57. As you read further, the keyword that you'll find in the problem is "how many" and "per."
Step 2:Now, how will you tackle the problem? As you can see, the situation that the word problem describes and the keywords found in the word problem call for you to perform a multiplication operation.
Then, construct short sentences to represent the given word problem.
- Number of bone china dinnerware sets that she sold = 78,253
- Number of pieces per set = 57
- Therefore, the number of pieces of bone china dinnerware she sold = the number of bone china dinnerware sets she sold × the number of pieces per set.
Step 3:Here, write down a numerical equation to represent the bolded sentence in step 2 above to solve this word problem:
78,253 × 57 = ?
Step 4: From step 3 above, multiply the numbers using regrouping or any other multiplication methods like long multiplication, grid multiplication, and lattice method to determine the result. Always add the unit of measurement to your final answer.
Using the long multiplication method, we have
So, she sold 4,460,421 pieces of bone china dinnerware.
Step 5:Last but not least, check if your answer makes sense. For example, estimate the answer and see if it is close to what you expected. But, if the answer is not what you expected, go back to step one and start all over again.
Example Two
Step 1:As you begin, read the problem very well. You'll see that the important numbers here are $785,962 and 12. Also, the most important keyword(s) found in the word problem is "how much" and "times."
Step 2: Now, how are you going to tackle the problem? From the situation that the problem is describing and the keywords found in the word problem, it implies that you have to perform a multiplication operation.
So, after knowing the operation you will perform, form short sentences to represent the given word problem.
- Amount of money that I saved last year = $785,962
- Amount of money that I saved up this year compared to last year = 12 times the amount of money that I served last year
- Therefore, the amount of money that I saved this year = the amount that I saved last year × the amount of money that I served this year compared to last year.
Step 3:Then, write down a numerical equation to represent the bolded sentence in step 2 above to solve this word problem:
$785,962 × 12 = ?
Step 4: From step 3 above, multiply the numbers using regrouping or any other multiplication methods like long multiplication, grid multiplication, and lattice to determine the result. Always recall adding the unit of measurement to the final result.
Using the long multiplication method, we have
So, I served up $9,431,544 this year
Step 5:Lastly, check if your answer makes sense. For example, estimate the answer and see if it is close to what you expected. However, if the answer is not what you expected, go back to step one and start all over again.
