5 Digit Subtraction Worksheets
When students begin to find the differences between large values the biggest problem that they have is staying organized and making sure that they can clearly see what values lie at each place. This is why encourage my students to rewrite everything on scrap paper with large fonts. All of the sheets we have provided you with have a large legible font, so you probably will not need that. Remind students that it is always an available tactic to follow, if needed. A collection of worksheets and lessons that help students learn how to find the difference between two large values.
Aligned Standard: General Operations - O.A
- Big Differences Step-by-Step Lesson- This is where place values come in really handy.
- Guided Lesson - I'm wondering if it would better to center the problems on this one. My kids always liked it left justified, but I'm just curious, if it would help to center them.
- Guided Lesson Explanation - It does take a longer time than I expected to explain these.
- Practice Worksheet - Not sure I gave enough space to do all the problems. If it is not enough room, let me know and I'll make adjustments in future pages.
- Matching Worksheet - I was going to call this one, "Recognizing Your Differences!"
- Answer Keys - These are for all the unlocked materials above.
Go horizontal with these three sheets to help you kick off or review this skill.
- Homework 1 - 6 reduce by 1 and 4 increase by 10, 14-5= 9, 5-3= 2
- Homework 2 - No borrowing needed here.
- Homework 3 - 7 reduce by 1 and 5 increase by 10, 15-6= 9, 6-5= 1
This is one of the most critical skills that we come across at this level. It is tested at almost all assessments I have seen.
- Practice 1 - The "1" means 1unit, the "4" means 4 tens, the "5" means 5 hundred, the "6" means 6 thousand, the "7" means 7 thousand.
- Practice 2 - Find the final value of the following problem.
- Practice 3 - You want to borrow when you have to.
Math Skill Quizzes
Not that testing is everything, but these do help students prepare a great bit more.
- Quiz 1 - See how well you did on this topic.
- Quiz 2 - How did you do?
- Quiz 3 - Make sure to take your time with this one.
How to Subtract Five Digit Values
You might get intimidated when you see a 5 digit number in front of you and are asked to find a difference between it and another value. But we assure you that five or more-digit numbers are not as much intimidating as you may find them. The subtraction of a 5 digit number is similar to the subtraction of any other number of digits. Once we graduate to 3 digit differences we learn all of the skills that are necessary to process this operation with confidence. It all is about learning to borrow from higher place values and regrouping the place of interest.
If you are intimidated by the digits, take a deep breath because this guide will help you through the subtraction of these five-digits numbers. Consider this example, and you will exactly know what to do when you come across a five-digit number subtraction.
94,592 - 76,733
What you have to do is borrow a number from a number written over the second number in the problem and solve the previous number to get your answer. Continue borrowing the number to solve the digits at the right until you cannot borrow any more from the number and your final answer. Let’s work it through step-by-step.
Step 1) Rewrite it Vertically - When you are dealing with a minuend and subtrahend that are greater than 2 digits, it is always a good idea to align the place values vertically. It is just a great deal easier to see in this manner. Also note that you should remove the comma, so that the numbers align properly direct above and below one another.
Step 2) Difference Right to Left - We start at the lower place value, which in this case is the ones. This requires us to borrow and regroup to satisfy the available value. We are able to subtract the tens and ones places to create an ending product value of 59.
Step 3) Continue on Right to Left - We move to both the hundreds and thousands place and realize that we do not have enough available to satisfy those difference, so we borrow and regroup at each of those places. Note that the thousands place needed to be reduced by 1, after borrowing and that is why it is 13, not 14. Once we process those borrowing and regrouping structures, we are ready to determine the final overall difference which is displayed to the right.