Real Numbers
How do you know if a number is irrational
It's non-repeating and non-terminating
Why do we put a positive-negative sign in front of square roots?
A square root might be positive or negative.
Why do we use scientific notation
To represent very large, or very small numbers
z4(z7)
z11
What does it mean to solve for y in the following equation?
3(y - 2) = 12
It means to isolate the variable or to present y by itself
ex. y = 6
Will the square root of 49 will be rational or irrational? Explain
It will be rational because 49 is a perfect square.
Solve the following equation
x2 = 81
x = ∓9
Convert the following into scientific notation and round to the nearest tenths place: 248,265,034
2.5 x 108
Give an equivalent expression:
5,820,718,4540
1
Solve the following equation:
-x + 2 + 4x = 8 - 3x
x = 1
-4 is part of which numerical categories?
Real number, Rational Numbers, Integer
Estimate the value of the square root of 77
8.77
Solve the following
(2.3 x 106)(8.2 x 104)
1.886 x 1011
Give an equivalent expression;
w3 / w-4
w7
Solve the following equation:
-5n - 8(1 + 7n) = -8
n = 0
What is a natural number?
All numbers that do not need to be written as a fraction, including 0.
Solve the equation m3 = -3375
m = -15
how many times larger is 8.4 x 108 than 4.2 x 104
2 x 104
Make an equivalent expression
(y2) 3 x y-9
1/y3
Solve the following equation:
3/4x + 3/2x = 18/4
x = 2
Convert .67... repeating into a fraction
67/99
A aquarium can hold up to 2744 cubic feet of water. What is the area of one side of the aquarium?
196 square feet.
Solve the following:
9.7 x 108 - 3.9 x 107
George did not account for the exponents correctly. He divided them instead of subtracting them
Give an equivalent expression to the following:
(5 + x4)2
25 + x8
Solve the following equation:
-11 + 10(p + 10) = 4 - 5(2p + 11)
p = -7