Operations with Signed Numbers

4. Many times, in the real-world, we need to know the straight line _________ that separates two points in space. In this lesson we will see how this distance relates to subtraction and absolute value.
5. So, we see that each _______ number is also an integer.
6. when we divide an integer by another integer (as long as we don’t divide by zero) we have a rational number. Whether that rational number is positive or negative depends on if the two integers have the same _____ (the fraction is positive) or different signs (the fraction is negative).
8. Additive ________ property This is a fancy way of saying that adding the number zero to any quantity does not change the value of the quantity (it retains its identity after adding zero).
9. Recall that exponents represent ________ multiplication.
11. Recall that the ____________ value of a signed number is how far it lies from the origin. It also indicates the “size” of a number.

1. Numbers that include fractions or decimals that terminate or repeat are known as __________ numbers because they are, by definition, the ratio of two integers.
2. In the last lesson we saw how to think about adding signed numbers using ________ sum pairs, also known as additive inverses.
3. As you progress in math, the use of the multiplication sign, is almost universally phased out and either the dot,is used or __________ are used to indicate it.
7. It should make sense that each of these sums is equal to zero. These pairs of numbers are called additive ___________. Negative numbers often represent having less than zero of something.
8. And each _________ is also a rational number. Rational numbers can be plotted just as integers can, although their exact location may be harder to place.
10. Likewise, the traditional division sign,is almost never used and instead the fraction _____, /, is used.