Classifying Real Numbers
When we think of mumbo jumbo numbers, we know they are ?
What is irrational?
Fill in the blank to properly show the DISTRIBUTIVE PROPERTY:
7(11 + 4) = 77 + ____
28
Define absolute value?
is the distance of a number from zero?
Name the order of operations.
Parenthesis, Exponents, Multiply/Divide from left to right, Add/Subtract from left to right.
What property is used during evaluating expressions?
substitution property
Give an example of a number that is a whole number, but not a natural number.
What is 0?
What property is this?
(2+13) + 4 = 2 + (13+4)
associative property?
Absolute value is
A. always negative
B. always positive
C. never 0
B
What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8
division
Each time you substitute a variable with a number, put ______ around the number!
parenthesis
Rachel states that -5.5 is an integer because it is negative.
Is she correct?
Why or why not?
What is no, because decimals are not integers?
Every time Mike adds zero to another number it stays the same. What property is Mike using?
What is the Identity Property of Addition?
If the absolute value of a number is 4 what could the number be?
4 or -4
True or False:
7 x [8 x 4 - (3 x 4)] = 140
true
What is the temperature in degrees Celsius that is equivalent to a temperature of 41˚F? Use this formula C = 5/9 (F – 32)
5 degrees Celsius
Name all of the classifications that the square root of 256/16 belong to.
is real, rational, integer, whole and natural
Which property says changing the order of the terms in addition or multiplication will not change the result?
What is the commutative property?
What is the absolute value of: -|6-20|
-14
What is the order of the steps for the following expression?
50- 16 x 2 ÷ (12-4)
Parenthesis, multiplication, division, subtraction
Evaluate for the following
m = -2
n = -7
−3|m^2+ 7|−n
-26
What are the classifications of real numbers and what belongs in each category.
Real - all real numbers
Irrational - decimals that don't end and don't have repeated pattern
Rational - all fractions and decimals that end or have a repeated pattern
Integers - numbers on the number line (negative, zero, and positive)
Whole - 0 and counting numbers
Natural - All counting numbers
What number is the multiplicative identity?
1
Solve the following expression: 6+|-6-3|+2x3
What is 21?
Find and explain the error.
STEP 1: -(9)^2 - 1 + 6/ (3-1)x2
STEP 2: -81-1+6/2x2
STEP 3: -81-1+6/4
STEP 4: -83/4
ANSWER: -22
What is step 3, they multiplied before dividing.
simplify (8x^2-4x-4)/-4
-2x^2+x+1