How to multiply three-digit numbers by one-digit number word problems
- INTRODUCTION
- Step 1 Identify
- Step 2 STRATEGIZE
- Step 3 SET UP
- Step 4 PROVIDE A SOLUTION
- Step 5 CHECK YOUR WORK
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This resource will offer your kids straightforward steps on how to multiply three-digit numbers by one-digit number word problems, helping to enhance their multiplication problem-solving skills.
We will equally provide simple techniques to help 3rd Graders quickly identify the operation and translate words into mathematical symbols while focusing on keywords and the problem statement that indicates the math procedures required to solve the problem.
Steps on how to solve multiplication of three-digit numbers by one-digit number word problems
Below are quick and outstanding steps on how to solve multiplication of three-digit numbers by one-digit number word problems. These unique steps comprise explicit information to teach your kids how to transform instructional problem statements and the semantically inconsistent context in multiplication word problems into meaningful maths equations.
In addition, this step-by-step procedure will significantly enhance learners' solving word problems skills in multiplying three-digit numbers by one-digit numbers. Above all, we will design real-life examples to guide and show kids how to multiply three-digit numbers by one-digit number word problems using straightforward steps.
Step 1 IDENTIFY THE PROBLEM
To identify the problem,
- You can begin by studying/reading out the problem carefully to understand it.
- Then, identify and highlight relative statements.
- Now, reread the problem and try to figure out any important numbers and keywords in the problem.
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, the 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, percent of, the fraction of, etc.
Note: learners should understand that it would be best not to rely entirely on keywords alone because a particular keyword can have different meanings in different word problems.
In that case, you need to read the question very well to understand the situation the word problem describes. After reading, you will also find out if the problem makes sense first before determining which operation you need to use.
Step 2 STRATEGIZE AND DETERMINE THE OPERATIONS
As you move on to this step, ask yourself this pertinent question because it helps, “how will I handle this problem?”
Here, you will apply the read-to-understand rule. i.e., you have to read the word problem and try to interpret it in your own words.
Also, since each word problem may require a different solving format, the key points below will enable you to tackle any word problem irrespective of its format.
- First, the keyword(s) in the word problem will help clarify the operation you need to carry out.
- Relying on keywords alone to solve word problems has some limits, as mentioned in step 1 above.
- Hence, you must first read the word problem to understand the situation that the problem is describing.
- Reading the problem to understand will enable you to identify the problem type and relative statements in the word problem, which, together with the keyword(s) in the problem, will determine the correct maths operation that you need to use
Step 3 SET UP A NUMBER SENTENCE AND AN EQUATION
- Now, after knowing which operation you will perform from step 2 above, construct short sentences to represent the information given in the word problem.
- These short sentences represent the vital information that makes it easier to solve the word problem. In order words, it is like a diagram of the word problem.
- After that, you can now deduce a solvable maths equation to represent the information given in the sentences that you constructed above.
Step 4 SOLVE THE PROBLEM
Next, after writing down the maths equation, you can multiply the numbers using regrouping or other methods like long multiplication, grid multiplication, or lattice to determine the result. Remember always to include the unit of measurement in your final answer.
Step 5 VERIFY YOUR ANSWER
Finally, check your work to make sure that your answer is correct. For instance, since you are dealing with only numbers and not algebraic expressions, it is good to use reasonableness by estimation to see if your answer makes sense.
Therefore, if you estimate and the answer is close to what you have, your answer is correct. However, if your answer is beyond reasonable limits, you must go back to step one and start again.
Examples of how to solve multiplication of three-digit numbers by one-digit number word problems
Example One
Step 1:Read the problem and underline all the relational statements. So, after reading the problem very well, the important number you will find in the word problem, for now, is 756. You see that there is no precise keyword in the problem.
So, what are you supposed to do now?
At this stage, you need to reread the problem and interpret it in your own words to come out with the correct operation without necessarily depending on the keyword.
The problem is trying to say that there is a baker who bakes a certain number of cookies every day.
Now, the problem wants you to find the total number of cookies the baker will bake in a week.
Hence, “which operation can I use to find the number of equal-sized groups and the number of items in each group?”
Back to the given problem, the number of equal-sized groups is the number of cookies the baker bakes every day, and the number of items in each group is the number of days (week = 7 days) given.
So, from the situation that the problem is describing, from retelling the problem in your own words, and from the keyword equally found in the word problem, it shows that you have to perform a multiplication operation.
Step 2: Now, the question is, "how will you solve this problem?"
Now, we have to construct short sentences to represent the given word problem.
Step 3:Construct short sentences representing the most vital information in the word problem.
After that, translate the bolded sentence below into an accurate solvable math equation.
- Number of cookies a baker bakes each day = 756
- Number of days in a week = 7
- Therefore, the total number of cookies he’ll bake in a week = the number of cookies a baker bakes each day × the number of days in a week.
→ 756 × 7 = ?
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 include the unit of measurement in your final answer.
Using the long multiplication method, we have
So, he will bake 5,292 cookies in a week.
Step 5:Finally, check your work to ensure your answer is correct. Since you are dealing with only numbers and not algebraic expressions, it is good to use reasonableness by estimation to see if your answer makes sense.
So, if you estimate and the answer is close to the one you have, then your answer is correct. However, if your answer is beyond reasonable limits, you must go back to step one and start again.
Example two:
Step 1: Read the problem and underline all the relational statements. You see that the important number you will find after reading the problem, for now, is 178. Also, the keyword you will find in the word problem is “in all.”
Step 2:Now, the question is, "how will you solve this problem?"
Reread the problem and retell it in your own words to come out with the correct operation without necessarily depending on the keyword.
What is the problem trying to say? Here, the problem is telling you that a mom does laundry every weekend. This weekend she washed a certain number of pairs of socks that belongs to everyone at home.
And now, the problem wants you to find the number of socks she washed.
So, which operation can you use to find the number of equal-sized groups and the number of items in each group?
Now in the given problem, the number of equal-sized groups is the given number of pairs of socks she washed, and the number of items in each group is the number of socks per pair.
So, from the situation that the problem is describing, from retelling the problem in your own words, and from the keywords found in the word problem, it shows that you have to perform a multiplication operation.
Note that after you interpret the problem in your own words and understand what the problem is trying to say, you realize that the keyword “in all” does not necessarily mean that you should perform an addition operation.
Step 3: Next, construct short sentences representing the most vital information in the word problem.
After that, translate the sentence that is in bold below into an accurate solvable math equation.
- Number of pairs of socks that she washed = 178
- Number of socks in a pair = 2,
- Therefore, the number of socks she washed in all = the number of pairs she washed × the number of socks in each pair;
→ 178 × 2 = ?
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 include the unit of measurement in your final answer.
Using Using the long multiplication method, we have
So, she washed 356 socks in all
Step 5:Finally, check your work to ensure your answer is correct. Since you are dealing with only numbers and not algebraic expressions, it is good to use reasonableness by estimation to see if your answer makes sense.
So, if you estimate and the answer is close to the one you have, then your answer is correct. However, if your answer is beyond reasonable limits, you must go back to step one and start again.
