# Subtracting From Two-Digit Numbers

Two-digit numbers? It will be as easy as pie now that you can do subtraction through twenty (20) and you know about**regrouping**in subtraction. Most of our examples will have you subtracting single-digit numbers from double-digit numbers, so the subtraction will be a bit easier. It will help to set up the problems in the up and down (vertical) format so that the columns match up.

# Column by Column

Remember that you always**work from right to left**. The ones column is on the far right side and then tens, hundreds, and thousands. Since we're working with two-digit numbers, you only have to worry about ones and tens.

**Examples**(with no borrowing):

12 - 1 = 11

28 - 6 = 22

34 - 2 = 32

68 - 5 = 63

Do you see how, since there is no borrowing, you just bring the tens column down with no subtraction? You're doing a subtraction problem, but you are subtracting zero, which means the original number (minuend) will be the same. Subtracting these combinations of numbers are as easy as single digit subtraction. "5 - 3 = 2" will help you in any problem from "85 - 3" to "1,584,687,265 - 3." Patiently moving from right to left makes it very easy.

# Now a Little Borrowing

Not all of the subtraction problems will be simple. You will need to borrow/regroup about half of the time. It's not harder. It's just different. As a reminder, the concept of regrouping in subtraction has you "borrowing" a "1" from the column to the left. Since we're only working with two-digit numbers, you will borrow from the tens column.**Examples:**

54 - 5 = 49 (after you borrowed you made 14-5 in the ones column)

62 - 7 = 55 (after you borrowed you made 12-7 in the ones column)

21 - 4 = 17 (after you borrowed you made 11-4 in the ones column)

Remember that you can check your work by flipping the symbols and using addition.

54 - 5 = 49 (check to make sure that 49 + 5 = 54)

62 - 7 = 55 (check to make sure that 55 + 7 = 62)

21 - 4 = 17 (check to make sure that 17 + 4 = 21)

# Know the Basics

When you break down all of these steps, the most complicated subtraction problem happens when you subtract a single-digit number from a double-digit number. You may do this step over and over, but it's just a simple subtraction problem done a bunch of times. By the time you can work with numbers up to twenty, there's not much more to learn about subtracting whole numbers.Done one time: 14 - 5 = 9

Done twice: 154 - 55 = 99

Done three times: 1,554 - 555 = 999

By the last example, it's the same subtraction problem three times in a row. As you work out more problems you will start to see the patterns and shortcuts. Getting better at math is all about practice, practice, practice.

- Overview
- Operations
- Addition
**Subtraction**- 1 to 10
- 1 to 20
- Borrowing
- Borrowing-2
**2-Digit Numbers**- 3-Digit Numbers
- Multiple Values
- Integers
- Integers-2
- Workbooks
- Multiplication
- Division
- Activities

# Useful Reference Materials

**Wikipedia:**

*https://en.wikipedia.org/wiki/Arithmetic*

**Encyclopædia Britannica:**

*http://www.britannica.com/topic/arithmetic*

**Encyclopedia.com:**

*http://www.encyclopedia.com/topic/arithmetic.aspx*