Unit: 1. INTEGERS Assignment: 27. Review

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-9

Simplify -72\8

49

Simplify the expression (-7)2.

-5°F

The temperature went from -6°F to -11°F. What was the change in temperature? -5°F 5°F -17°F 17°F

-112

Use the distributive property to simplify the expression -8(5 + 9).

11

What is the difference between 9 and -2?

32

What is the product of -8 and -4.?

-4

What is the sum of -3 and -1?

commutative property of multiplication

What property does (-9)(0) = (0)(-9) illustrate?

identity property of multiplication

What property does (-9)(1) = -9 illustrate?

associative property of addition

What property does -1 + (4 + 9) = (-1 + 4) + 9 illustrate?

associative property of multiplication

What property does -1(4 · 9) = (-1 · 4) illustrate?

identity property of addition

What property does -9 + 0 = -9 illustrate?

commutative property of addition 5

What property does -9 + 1 = 1 + (-9) illustrate?

-13 + (-7)

Which of the following is another way to express -13 - 7? -13 + 7 13 + (-7) 13 + 7 -13 + (-7)

A.D. 54

Which of the following phrases should not be expressed using a negative number? A.D. 54 owing $12 200 feet below sea level 5 degrees below zero

D

Which of the following points is located at 3? Each tick represents 1 unit. A B C D

≠ >

Which of the following symbols could correctly finish the statement? select all that apply. |-2|___ -|2| = ≠ > < none of these ≤

= ≥ ≤

Which of the following symbols could correctly finish the statement? select all that apply. |-8| ___ |8| = ≠ > < ≥ ≤

absolute value

the distance from zero on the number line

additive identity

the number 0; when added to any number, the value of the number does not change

multiplicative identity

the number 1; when multiplied by any number, the value of the number does not change

base

the number that is repeated as a factor in an exponential expression

exponent

the superscript number in an exponential expression; tells how many times a factor is repeated

power

the value of a base and exponent; also the exponent itself

opposite numbers

two numbers that are the same distance from zero on the number line but in opposite directions

undefined

the quotient of any number and zero

Rational Integer

Classify the following number. Select all that apply. -3 Irrational Rational Integer Whole Natural

-16

Find the value of |-4| - 5 · 2(-1 + 3)

Venn diagram

a diagram that shows the relationships between sets

point

a dot that marks a location on a graph

natural number

a number belonging to the set made up of the counting numbers: 1, 2, 3, and so on

integer

a number belonging to the set made up of the whole numbers and their opposites

whole number

a number belonging to the set made up of zero and the natural numbers

rational number

a number that can be written as a ratio in fraction form

real number

a number that can be written as an infinite decimal

irrational number

a number that, when in decimal form, does not terminate or repeat

factor

a number to be multiplied

associative property

a property of the real numbers that states that how numbers are grouped in a sum or product does not change the value

commutative property

a property of the real numbers that states that the order in which numbers are added or multiplied does not change the value

order of operations

a system for simplifying expressions that ensures that there is only one right answer

distributive property

a(b + c) = ab + ac, or a(b - c) = ab - ac

inverse operations

opposite operations that undo one another

inequality

statement showing a relationship between numbers that are not necessarily equal; uses the symbols >, <, ≥, ≤, or ≠


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