How do you subtract -14 - (-5) and how does that relate to distance ?

How do you subtract -14 - (-5)and how does that relate to distance?

In this lesson you will learn to subtract integers by using the difference definition of subtraction on a number line.

What’s an integer? Integers include positive and negative whole numbers as well as 0. ...-3, -2, -1, 0, 1, 2, 3 ... Non-Examples: -5.2 0.28 -9.9 4

What’s subtraction? Subtraction is the opposite of addition. It can be seen as the process of taking away or finding the differencebetween two numbers. 15 - 3 = 12 subtrahend difference minuend

What’s distance? Distance is a measure of how far apart two things are. Distance is always positive.

Thinking that difference is always positive. 3 - 8 = 5 - 3 - 8 = (-5)

Minuend - Subtrahend = Difference 7 10-3 3 10 15 6 - (-9) -9 6 -5 - (-14) 9 -14 -5

Minuend - Subtrahend = Difference - 7 3 - 10 3 10 -9 - 6 15 - -9 6 -14- (-5) - 9 -14 -5

Minuend - Subtrahend = Difference Minuend - Subtrahend = Difference - 7 7 3 - 10 10-3 3 3 10 10 -9 - 6 15 15 - 6 - (-9) -9 -9 6 6 -14- (-5) -5 - (-14) - 9 9 -14 -14 -5 -5

In this lesson you learned to subtract integers by using the difference definition of subtraction on a number line.

Simplify 13 - (-5) and -5 - 13. 13 - (-5) 13 -5 -5 - 13 13 -5

Determine the difference: 4 - 10 4 - 10

Think about the meaning of the words difference and distance in mathematics. Compare and contrast these words. Difference Distance

Fill out the following table. Then, describe how the A/B problem pairs relate in terms of difference and distance.

In addition, the commutative property says that order doesn’t mater. Examine how order affects subtraction with these problems. What do you notice? • 15 - 7 & 7 - 15 • 5 - (-14) & -14 - 5 . • -8 - 9 & 9 - (-8) • -16 - (-6) & -6 - (-16) • 22 - 22 & 22 - 22

Simplify 1 - (-8). Determine the difference: 9 - 15.

How do you subtract -14 - (-5) and how does that relate to distance ?