The Real Number System
In ORDER, what are the categories of the Real Number System?
Irrational or Rational
Integer
Whole Number
Natural Number
Convert the following to scientific notation:
200000
2x10^5
When multiplying like bases, what do we do with the exponents?
Add them!
Anaya's sister is twice her age + 3 years. If Anaya is 15 years old, how old is her sister?
33 years old.
(15 x 2) + 3
Is this a function? Why or why not?
(2,3) (3,4) (4,5) (5,6)
Yes, no repeating inputs (x values)
Rational or Irrational?
-5.6833333...
Rational... repeating decimal
Convert to Standard Form:
4.897 x10^-3
0.004897
Anything to the power of 0 is...
1
An airplane traveled at a speed of 5.7 ×10^2 miles per hour for 1.4 × 10' hours. How far did the plane travel?
7.98x10^3
Solve the following equation:
2x + 6 = 4x + 2
x = 2
Convert to a decimal...bonus points if you can do it without a calculator:
0.5555...
5/9
Solve the following:
(3x10^4) - (5x10^5)
-4.7x10^5
(2x^2y^4)^3
8x^6y^12
Light travels
9.45x10^15
meters in a year. There are about
3.15x10^7
seconds in a year.
How far does light travel per second?
3x10^8
Solve the following equation:
-6x - x + 10 = 15 - 7x - 5
Infinite solutions, all real numbers
Classify ALL the numbers into the smallest category they fit into:
2.2
-0.33333
15648
sqrt89
0
2.2 - rational
-0.33333 - rational
15648 - natural
sqrt89 - irrational
0 - whole
(1.4x10^1)/(5.6x10^4)
2.5X10^-4
(2c^3d) (-7c^-2d)^2
(98d^3)/c^3
The area of a square classroom is
97^2ft
. What is the approximate length of each side of the sandbox AND what is the perimeter of the sandbox? Write answers as a decimal rounded to the nearest tenth.
9.8 ft
What is the slope and the y intercept of the following equation?
3x - 2y = 12
m = 3/2
b = -6
Give me an example of a number from EACH category of the Real Number System:
* Hint you will need 5 different numbers.
Answers will vary.
Find the quotient. Round the coefficient to the nearest hundredth.
(2.4901 x10^4)/(1.86x10^5)
1.34x10^-1
14pq - (18p^-3q^8)/(2p^-4q^7)
5pq
The human body contains about
1X10^12
bacteria. The human body contains about
4x10^4
genes. The number of bacteria contained in human body is how many times as great as the number of genes contained in the human body?
2.5x10^7
What are two out of the three indications for a non linear equation?
1. exponent on the variable
y = x^2
2. variable in the denominator
y = (1)/(x)
3. variable under the square root sign
y = (sqrt(x +2)