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Introduction to Math

Introduction to Math

Assessment

Presentation

Mathematics

6th - 9th Grade

Hard

Created by

Joseph Anderson

FREE Resource

7 Slides • 27 Questions

1

Intro to Integers

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2

Integer Rules/ Integer Definition

  • Integer is a number with no fractional part, no square roots, or decimals

  • either positive or negative

  • positive numbers can be counted in nature

  • negative numbers are the opposites of the positive numbers

3

Rules of Integers

  • if you are adding a positive number to a positive number then add them together like a normal math problem.

  • If you are adding a negative number to a negative number then your answer will be negative and farther away from zero.

  • If you are subtracting a positive number from a negative number, then add a line ( to the subtraction line and make it addition) and change the sign of the second number then add the number together.

  • If you are subtracting a negative number from a negative number add a line to the subtraction to make it addition then change the sign to positive and subtract- keep the sign of the higher number for your answer

4

Rules of Integers

  • When multiplying or dividing numbers use these rules:

  • two negative numbers equal a positive answer

  • one positive and negative number equal a negative answer

  • use a tic tac toe board with the positive running in a diagonal line

5

Order of Operations

  • PEMDAS

  • Parenthesis-Brackets

  • Exponents

  • Multiplication Division left to right

  • Addition and Subtraction left to right

  • Fraction Bar

  • Follow these steps to solve the problems

6

Exponents

  • Repeated Multiplication of the same number-Multiplying exponents- positive answers are even exponents- negative answers odd exponents

  • A 0 in the exponent it is one as the answer

  • If you have a negative as the exponent you have to make it a division problem- not going to experience this yet

  • Exponents can be added, subtracted or multiplied of divided when in parenthesis together or in more advanced equations

7

Absolute Value

  • numbers inside of absolute value bars change to positive numbers as the answer

  • negative numbers inside an absolute value bars is positive as the answer

  • negative numbers can be on the outside of the absolute value problem and make it a negative answer

  • All operations of addition, subtraction, multiplication and division can be completed inside absolute value bars

  • the distance between the number and zero and its always positive

8

Multiple Choice

What is 75?What\ is\ -\left|75\right|?  

1

75

2

-75

3

not  possible

4

0

9

Multiple Choice

What is the reason that absolute value is always written as a positive?
1
Absolute value is talking about numbers so it must be positive.
2
Absolute value does not always have to be positive.
3
Absolute value is like a clock it has only positive numbers.
4
Absolute value is talking about distance, distance is always measured by positive numbers.

10

Multiple Choice

What is the absolute value of |-26|
1
26
2
-26
3
-36
4
36

11

Multiple Choice

The absolute value of |3| is -3.
1
True
2
False

12

Multiple Choice

Evaluate the expression.
|–5| + 8
1
3
2
13
3
-13
4
-3

13

Multiple Choice

What is the absolute value of |572|.
1
275
2
-572
3
57
4
572

14

Multiple Choice

23+(30÷10)x4
1
35
2
32
3
12
4
45

15

Multiple Choice

40+(72÷9)÷8
1
49
2
25
3
41
4
15

16

Multiple Choice

7x(7-4)÷3
1
8
2
6
3
7
4
5

17

Multiple Choice

24x(4-2)÷6
1
8
2
2
3
6
4
5

18

Multiple Choice

-6-2
1
8
2
-4
3
4
4
-8

19

Multiple Choice

-8+(-2)
1
-6
2
-10
3
10
4
6

20

Multiple Choice

(-4)2

1

16

2

-16

21

Multiple Choice

52

1

25

2

-25

22

Multiple Choice

-5 - 16

1

-21

2

-11

3

11

4

21

23

Multiple Choice

15 - 3

1

-12

2

18

3

-18

4

12

24

Multiple Choice

-14 + 28

1

14

2

-14

3

-42

4

42

25

Multiple Choice

-14 + (-12)

1

2

2

-2

3

-26

4

26

26

Multiple Choice

20 + 40

1

20

2

-20

3

60

4

-60

27

Multiple Choice

Simplify the following:  
-8 + (15 - 3) ÷ 4
1
-5
2
1
3
-11
4
11

28

Multiple Choice

Solve the following:
-12 ÷ 6 (-3) + 8
1
-14
2
2
3
-22
4
3

29

Multiple Choice

What is the first step in solving this problem:
-12 ÷ 6 (-3) + 8
1
multiplication
2
addition
3
division
4
subtraction

30

Multiple Choice

When multiplying or dividing a NEGATIVE and POSITIVE number your result will be...
1
Positive
2
Negative
3
Depends on which is bigger.

31

Multiple Choice

When multiplying or dividing a NEGATIVE and NEGATIVE number your result will be...
1
POSITIVE
2
NEGATIVE
3
DEPENDS ON WHICH NUMBER IS LARGER.

32

Multiple Choice

44/-4=
1
11
2
-8
3
-11
4
-1/11

33

Multiple Choice

-10(4)
1
40
2
-14
3
-40
4
14

34

Multiple Choice

-3(-4)

1

-12

2

7

3

-7

4

12

Intro to Integers

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