Rational vs. Irrational
Which number is rational?
a. 7/3
b. pi
c. √8
d. √4/5
7/3 (fractions are always rational)
What does the 2nd button do?
Controls all the functions in blue.
Classify the number with all of the below labels that fit: 2/3
A) Counting/Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real
D and F
42-(-1)
17
A collection of rules that say which calculation comes first in an expression.
What is Order of Operations?
Fill in the blanks:
The √17 is a ________________ number between ___________.
irrational, between 4 and 5.
Simplify
7/3 x 1/5
7/15
Classify the below number with all of the below labels that fit: π (pi)
A) Counting/Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real
E and F
Approximate value = 3.14159...
Between 3 and 3.5 on the number line
(-4+9)2
_______________
9 - 4
What is 5?
Fractions represent what operation?
Division
Is the product of √25 and -3/5 rational or irrational? Explain your answer.
Rational. The product is -3, which is an integer. All integers are rational numbers.
Reilly says that the answer to
(6-3)3+5(-4/5)- √25 is -2
Use your calculator to verify whether of not the answer is correct.
No, it should be 18.
Classify the below number with all of the below labels that fit: -8
A) Counting/Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real
C, D, and F
This operation is performed first.
-4 x [(-36) ÷ (-12)]2
What is the division inside Brackets?
A real number that cannot be expressed as
a ratio of integers (or fraction)
Examples:
2.1354... Pi...√8
What is an Irrational Number?
Which expression has the largest value?
a. 0
b. pi
c. -1/3
d. √9
pi
How do you make a fraction in your calculator?
alpha y= n/d
or
alpha "xtn"
Classify the below number with all of the below labels that fit: √27
A) Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real
E and F
Approximate value = 5.19615...
Between 5 and 5.5 on the number line.
Determine the mistake in the work below and explain the mistake in words. What should have been done instead?
-4 + [(-36) ÷ (-12)]2
-4 + [3]2
(-1)2
1
They added -4 and 3 before the simplified 32.
They should have done:
-4 + [3]2
-4+9
5
A number that can be written as a ratio (fraction);
includes terminating and repeating decimals.
What is a Rational Number?
√25 3.485485...
1.23 -250
Is the sum of 3√2 and 4√2 rational or irrational? Explain your answer
The sum is irrational because it is equivalent to 9.89949... which is a non-terminating, non-repeating decimal
How do you reset your calculator?
2nd + 7 1 2
Classify the below number with all of the below labels that fit: -7.1212121212...
A) Counting/Natural Numbers
B) Whole Numbers
C) Integers
D) Rational
E) Irrational
F) Real
D, F
What is another way you can write this REPEATING DECIMAL?
Evaluate
[12 -(-12)]÷ 23
3
What is the definition of an integer?
Positive and negative whole numbers, and zero.