To convert a decimal to a percent, move the
decimal two places right and add the %
To convert a percent to a decimal, move the
decimal two places left and drop the %
To convert a decimal to a fraction, use the
place value words and reduce as necessary
Fill in the blank
1.
The multiplicative identity property shows that any
number multiplied by 1 is _ itself _
2.
Any number multiplied by 0 is ______ zero or 0 ______________.
3. The
sum of two opposites is always __ zero or 0 ____
4. The
absolute value of a number is its _ distance
_________ from ___ zero
_____
5. To
subtract is to __ add
______ the ___ opposite
_______
6.
Never divide by ___zero or 0 _____.
7.
A nonzero number divided by itself
is always ______ one __________.
8.
___ zero or 0 ________
is the number which is neither positive nor negative.
9.
Fractions are “___ divided by ___________________” problems.
10. When a
number is subtracted from itself, the result is always ___zero or 0 ________
11. The
commutative property of multiplication demonstrates that a * b = __ b __ * a.
12. The
commutative property of addition demonstrates that a + b = __ b __ + a.
13. The
associative property of multiplication states that a * (b * c) = (_ a _ * b)
* c.
14. The
associative property of addition demonstrates that a + (b + c) = (a + _ b _) +c.
15. The
distributive property of multiplication over addition demonstrates that
a(b + c) = _ ab ___ + ac.
16. The
distributive property of multiplication over subtraction demonstrates that
a(b - c) = ab - _ ac
__.
Simplify
- (-7 + 4) * 5 + -9 + 7 * 1 =
____ -3 * 5 + -9 +
7 = -15 + -9 + 7 = -17
- (-9 + 8) * 3 + -6 + 3 * 0 = ____
-1 *
3 + -6 + 0 = -3 + -6 = -9
- ((-7 + 5) * 4 + -6 + 1) * 0 = _______ notice the
outer parentheses: anything * 0 = 0
20. 8 * 2 + 5 * 3 = ________ 16 + 15 = 31
21. 4(y
+ 8) – 54= ____________ 4 * y + 4 * 8 – 54
= 4y + 32 – 54 = 4y -22
22. 8x
–(x + 4) = ____________ 8x – x – 4 = 7x –
4 or
8x - -1 * x + -1 * 4 = 8x – x + -4 = 7x + -4
23. 14c
– c + 6(c – 1) = ____________ 13c + 6 * c – 6 * 1
= 13c + 6c – 6 = 19c – 6
24. -42
+ 7n – 7n + 42 = ____________ -42 + 42 + 7n – 7n
= 0 + 0 = 0
Solve
When adding or subtracting positive
and negative numbers, the answer (a sum or a difference) is determined b y the
absolute value of the numbers. Whichever
has the greatest absolute value, determines the sign of the answer. In other words, the one furthest from zero
will give the
sign to the answer. (to subtract is to add the
opposite)
Example: adding 12 + -5 = -7 and 12 + -5 = 7
25.
-15 + 12 = __ -3 ____
26.
16 + -19 = __ -3 ___
27.
8 + -15 = __ -7 ___
28.
-5 + -5 + -5 + -5 = _ -20
__
29.
-18 - 4 = __ -22 ___
30.
6 - -5 = __6 + 5 = 11 ___
31.
-12 - 10 = __ -22
___
32.
-8 + -8 = __ -16 ___
33.
-19 – (-19) = __ 0 ___ any number subtracted from itself is zero
34.
-5 + 7 = __ 2 ___
When multiplying positive and negative
numbers:
If the signs are the same, the
product is positive
+(positive) * +(positive)
= +(positive) and -(negative)* -(negative) =
+(positive)
If the signs are different, the
product is negative
-(negative)
* + (positive) = -(negative) and + (positive) * -(negative) = -(negative)
35.
-14 * 10 = ___ -140
__
36.
-100 ÷ -10 = _ 10 ____
37.
4 * -5 = __ -20 ___
38.
-5 * 4 = __ -20 ___
39.
-15 * 10 = __ -150 ___
40.
10 * -9 = __ -90 ___
41.
-7 * -10 = __ 70
___
42.
3 * -8 = ___ -24 __
43.
-7 * -9 = __ 63 ___
44.
6 * -9 = __ -54 __
45.
-27 ÷ -3 = __ 9 ___
Multiplying or dividing by powers of
10 is a matter of moving the decimal point.
46.
8.74 * 10 * 10 = ____ 874 ______
47.
3, 247 ÷ 100 =
___ 32.47
_______
48.
9.52 * 10 * 10 * 10 = __ 9520 ______
49.
29,745 ÷
100 = ____ 297.45 ______
