# Math

The flashcards below were created by user Hanoverstreet on FreezingBlue Flashcards.

1. What are the two parts of a signed number?
Its algebraic sign, + or − , and its absolute value, which is simply the arithmetical value, that is, the number without its sign.

|−3 = 3.

|3| = 3.
2. What is the only difference between  8 − 5  and  5 − 8 ?
The algebraic signs. They have the same absolute value.
3. What is a number line?
The number line is a kind of "ruler" centered on 0.  The negative numbers fall to the left of 0; the positive numbers fall to the right.
4. What is an
integer?
Any positive or negative whole number, including 0.

0, 1, −1, 2, −2, 3, −3, etc.
5. What is "The negative of −a is a."?
• A formal rule.
• whenever we see something that looks like this
•   −(−a)

then we may rewrite it in this form:

a
6. Evaluate the following

a)  −(−10)

b)  −(2 − 6)

c)  −(1 + 4 − 7)

d)  −(−x)  =
a)  −(−10)  = 10

•
• b)  −(2 − 6)  = 4

•
• c)  −(1 + 4 − 7)  = 2

d)  −(−x)  = x
7. What is the algebraic definition of the negative of a number
a + (−a) = −a + a = 0

5 + (−5) = 0.
8. What is the rule for "adding" a negative number?
9. a + (−b)  =  a − b
10. What are the terms? 1 + (−2) + 3 + (−4)  =  1 − 2 + 3 − 4
1 − 2 + 3 − 4
11. If the terms have the same sign...
add their absolute values,and keep that same sign.

2 + 3 = 5.

−2 + (−3) = −5.

−2 − 3 = −5.
12. If the terms have opposite signs...
subtract the smaller in absolute value from the larger, and keep the sign of the     larger.

2 + (−3) = −1.

−2 + 3 = 1.
13. What is the fundamental rule for 0?
a + 0 = 0 + a = a

Adding 0 to any term  does not change it.

• 0 + 6 = 6
• 0 − 6 = −6
• 0 + (−6) = −6
• −6 + 0 = −6
14. What is the rule for subtracting a negative number?
a − (−b)  =  a + b

Any problem that looks like this,

a − (−b)

rewrite so that it looks like this:

a + b.

ex

−(−5) = +5

ex

2 − (−5)=  2 + 5=  7.
15. What is the Rule of Signs for multiplying, dividing, and
fractions?
Like signs produce a positive number; unlike signs, a negative number.

−5(−2 =  10.

5(−2) =  −10.

−12/−4 =  3.

12 /−4 =  −3.
16. An even number of negative factors produces a
positive number.

(−2)(−2) = 4
17. While an odd number of negative factors produces a
negative number.

(−2)(−2)(−2) = −8
18. Multiplication is always simpler if factors will produce 10, or 100, or any power of 10.
 Author: Hanoverstreet ID: 197006 Card Set: Math Updated: 2013-02-01 01:50:17 Tags: Algebra Folders: Description: SIGNED NUMBERS Show Answers: