Classifying Numbers
Is 67 rational or irrational?
Rational
Which number is greater?
⅗ or 0.25
⅗
What's the difference between an equation and an expression?
Equations have an equal sign while expressions do not.
True or False.
Some irrational numbers are rational.
False.
What is scientific notation?
A notation used to express a very large or very small number as the product of two numbers.
Is √2 rational or irrational?
Irrational
Put the numbers in order from least to greatest.
4.32, 43.2, 4.223, .432222
.432222 < 4.223 < 4.32 < 43.2
Solve the equation.
3(n - 5) = 7 - 2(n + 1)
n = 4
True or false.
All whole numbers are integers.
True
When writing in scientific notation, what is the first number in the product called?
Mantissa or Coefficient
Is √16 rational or irrational?
Rational
On a number line, √19 would be plotted between what two numbers?
Between 4 and 5
How many solutions would this system of equations have?
y = 4x + 3
y = 4x - 7
No solution
Which number set does -5 belong to?
Integers
Write this number in scientific notation.
562,000
5.62 x 105
Provide an example of three different whole numbers:
0, 1, 2, 3...
On a number line -¾ would be plotted between what two numbers?
Between 0 and 1
Write a system of equations that represents the situation.
Samuel has $160 in his savings account and Diego has $142 in his savings account. Diego saves $2 per week and Samuel spends a quarter every week for a gumball.
Samuel: y = 160 - 0.25x
Diego: y = 2x + 142
Which number set does 6.48 belong to?
Rational Numbers
Write this number in standard form.
3.7 x 108
370,000,000
Provide a rationale for this group of numbers.
-2, √25, 19, 0, 27⁄3
They are all integers.
2500, 2.5x10-5, 25, 2.000005 2.5x105
2.5x10-5 < 2.000005 < 25 < 2500 < 2.5x105
A company makes and sells American flags. It costs $12 to manufacture each flag, and there is a set up cost of $200 for the design. The company sells the flags to home improvement stores for $20 per flag.
What is the break even point for making and selling flags?
Income: y = 20x
Cost: y = 12x + 200
The break even point is (25 , 500)
25 flags
List three different irrational numbers.
(Decimals that do not have a pattern)
Write this number in standard notation.
8.3 x 10-5
0.000083