Methods/steps in solving multiplication by two digit number word problems
Hey kids, learn these appealing methods in solving multiplication by two-digit number word problems in this step-by-step guide carefully arranged for you. This fantastic step-by-step guide will cover all the major problems that kids need to know.
We often expect kids to solve standard text-based word problems instead of real-life or real-world text-based challenging tasks. Hence we encourage all 5th graders to engage in this resource and learn how to use real-world text-based problem-solving tasks.
This approach will greatly help young learners combat any math situation they encounter in a word problem.
Steps to solving multiplication by two digit numbers word problems
Before we dive into providing steps to solving multiplication by two-digit numbers word problems, let’s find out why most kids struggle to solve multiplication by two-digit word problems.
We understand that one of the things 5th graders find difficulties in solving word problems is interpreting the problem. Hence we will offer your kids a carefully-designed step-by-step guide that will facilitate the interpretation and solving of grade 5 multiplication by 2-digit word problems.
However, we will offer some real-life examples below to witness how amazing this method works.
Step 1: IDENTIFY THE PROBLEM
Also, try to identify important numbers and keywords in the word problem.
For instance, If you come across one of the following keywords in a 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., then it implies that you have to perform a Multiplication Operation.
To identify the problem, you must read the word problem very carefully to know what the problem wants you to solve.
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
Step 2: STRATEGIZE OR GATHER RELEVANT INFORMATION
How will you solve or tackle the problem?
One key thing you should remember is that each word problem may require a different format. So, these key points below will help kids to solve any format however it comes accurately.
- As mentioned in step 1 above, from the keyword(s) in the word problem, you can determine if you need to perform a Multiplication Operation.
- On the other hand, know that you must not rely solely on keywords. Also, try to understand the situation that the problem is describing.
- Now, after knowing the operation you will perform, construct short sentences to represent the given word problem.
Step 3: CREATE THE EQUATION
Here, we will write down a numerical equation representing the information given in the word problem.
Step 4: PROVIDE A SOLUTION
From step 3 above, multiply the numbers using regrouping or other multiplication methods like long multiplication, grid multiplication, or lattice to determine the result. Always recall adding the unit of measurement to your final result.
Step 5: CHECK YOUR WORK
Finally, check if your answer makes sense. For instance, 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.
Examples on how to multiply by two-digit numbers word problems
Example one
Step 1:The important numbers here are 526 and $85. The most important keyword(s) found in the word problem is “per.”
Step 2: Now, how are you going to tackle the problem? You see that the situation the problem is describing and the keyword found in the word problem call for you to perform a multiplication operation.
Next, after knowing which operation you will perform, form short sentences to represent the given word problem.
- Number of exotic swords Mr. Davis is supposed to make = 526
- Amount of money he charges per sword = $85
- Therefore, the amount of money the contract is worth = the number of exotic swords Mr. Davis is supposed to make × the amount he charges per sword.
Step 3:Now, write down a numerical equation to represent the bolded sentence in step 2 above to solve this word problem:
526 × $85 = ?
Step 4: From step 3 above, multiply the numbers using regrouping or other multiplication methods like long multiplication, grid multiplication, and lattice to determine the result. Always remember to add the unit of measurement to the final answer.
Using the long multiplication method, we have
So, the contract is worth $44,710.
Step 5: Finally, check if your answer makes sense. For instance, 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.
Example Two
Step 1: The important numbers here are 569 and 15. The most important keyword(s) found in the word problem is “times.”
Step 2: Now, how are you going to tackle the problem? You see that the keyword(s) found in the word problem calls for you to perform a multiplication operation.
But you have to note what is being asked in the question.
Next, after knowing the operation you are going to perform, form short sentences to represent the given word problem.
- Number of marbles Maya has = 523
- Number of marbles her sister Beverly has compared to Maya = 15 times what Maya has
- Therefore, the number of marbles Beverly has = the number of marbles Maya has × the number of marbles her sister Beverly has compared to Maya.
Step 3:Now, write down a numerical equation to represent the step 2 above. Use “/” to separate the numerator from the denominator.
523 × 15 = ?
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. Remember to add the unit of measurement to your final result.
Using the long multiplication method, we have
So, Beverly has 7,845 marbles.
Step 5: Finally, check if your answer makes sense. For instance, 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.
