Fractions, Negative Exponeats, Linear Expressions
(-9)^5
(-9)(-9)(-9)(-9)(-9)
more work #1
(2×5 × 10^8)(2×10^4) 2×5×2×10^8×10^4 = 5×10^12
properties of integer exponeats
(a^m)^n = a^n×a^m a^m/a^n= ^n-^m a^0 = 1
-2^4
-2×2×2×2
Simplifying fractions #2
15/35 = 3×5/7×5= 3/7
(-4×10^4)^2
16 × 10^8
simplifying fractions #3
180/140 = 20×9/20×7= 9/7
Multiplying Fractions #3
1×6/8×12 = 6/96 = 6/96 = 1/16
Dividing Fractions #3
1÷5/4÷6= 1×6/4×5 = 6/20
Multiplying Fractions #2
2×2/8×12 = 2/96= 1/48
2^3
2×2×2
linear expression #2
3(-3x+2)-2(x-1)+4x -9x+6 - 2x+2+4x -11x +4x = -7x +8
linear expression ex #1 (ax+b)
4-2x = -2x +4
pemdas #2
5-(1+7+1)÷11-2) 5-(9)/(9) 5-1=4
pemdas #1
54 + 6 ×(8/8)/6 54 + 6 × 1 ÷ 6 6÷6 = 1+54 = 55
Dividing Fractions #1
5÷7/14÷2 = 5×2/14×7 = 5/49
Multiplying Fractions #1
8×1/9×9= 8/81
An example of simplifying fractions #1
9/5 = 3×3/3×5
Dividing Fractions #2
9÷1/10÷3 = 9×3/10×1 = 27/10
GCF
Greatest multiple that goes into the numerator and dominator
order of operations
PEMDAS (parenthesis, Exponents, Multiplication, Division, Addition, Subtraction)
equivalent
Two expressions that are equal to each other.
negative exponents
With a negative exponent, take the reciprocal of the base and change the exponent to be positive x −a=1/x a Ex. 2 −3=1/2 3=1/8
improper fractions
a fraction with its numerator equal to or greater than its denominator/ anything equal to or greater than 1
Proper fractions
anything less than 1
equivelent fractions
a×c/b×c = a/b
reduced fraction
fraction that is fully simplified.
Simplification
reducing the expression, making them minimalist
quotient
the answer to a division problem
product
the answer to a multiplication problem
reciprocal of fraction
when the denominator and numerator are flipped
linear expression with variables #1
x-4y+8 (x=-1,y=5) -1 -4×5+8 -1-20+8= -2+8=-13
