Find the difference between 644 and 134.

Recall that difference is a clue to use subtraction. So, we need to find the following:

We can break it down one place value at a time:

Ones:

Tens:

Hundreds:

So our answer is 510

Borrow a one from the tens place to subtract the ones digits. The tens digit of 1093 is now eight.

We cannot borrow a one from the hundreds place to subtract eight with nine, so we will need to borrow a one from the thousands place instead. The thousands place of 1093 is now zero, and the hundreds place becomes a nine.

Subtract the tens places.

Subtract the hundreds places.

Combine the hundreds, tens, and ones digits.

The answer is:

Subtract the ones digits.

Subtract the tens digits. Notice that the three cannot subtract seven. Borrow a one from the hundreds digit of .

Now we can subtract to obtain the tens digit.

The hundreds digit will become a one. The hundreds digit of is zero.

The answer is:

This is a simple subtraction problem involving two positive numbers.

is greater than ; therefore, we will treat this operation as a normal subtraction problem.

The answer is .

This is a complex subtraction problem involving positive and negative numbers.

As indicated by the order of operations, we will work from the left to the right.

Subtracting a negative number is the same as adding a positive number. Rewrite.

Next we finish the subtraction.

Subtracting a negative number is the same as adding a positive number. Rewrite.

The answer is .

This is a complex subtraction problem involving positive and negative numbers.

As indicated by the order of operations, we will work from the left to the right.

Subtracting a negative number is the same as adding a positive number. Rewrite.

Since is greater than and is positive, the answer is positive. We will treat this operation as a subtraction problem.

Next we finish the subtraction.

Since is greater than and is negative, the answer is negative. We will treat this operation as a subtraction problem.

The answer is .

Borrow a one from the tens digit in order to subtract the ones digits. The tens digit become an 8.

Subtract to find the ones digit.

Subtract the tens digits.

The answer is:

This is a complex subtraction problem involving positive and negative numbers.

As indicated by the order of operations, we will work from the left to the right.

Subtracting a negative number is the same as adding a positive number. Rewrite.

Since is greater than and is positive, the answer is positive. We will treat this operation as a subtraction problem.

Next we finish the subtraction.

The answer is .

Write an expression to express this question.

This can be solved by taking a out as a common factor and rearrange the terms inside the parentheses.

Simplify the terms inside the parentheses.

The answer is:

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following: