# Math Fundamentals 101

The class "Math Fundamentals" covers basic arithmetic operations, including addition, subtraction, multiplication, and division. Additionally, it introduces the concept of negative numbers and integers. The class concludes with an overview of the order of operations and grouping symbols.

Basic mathematical operations are the foundations upon which all math relies. Mastery of these foundational tasks will ease a student into more complicated mathematics, such as algebra and geometry, both of which are commonly used in a variety of manufacturing environments.

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## Class Details

Class Name:
Math Fundamentals 101
Difficulty:
Beginner
Number of Lessons:
17

## Class Outline

• Mathematics
• Positive and Negative Integers
• Rules for Adding and Subtracting with Negative Numbers
• Ordering Integers
• Addition and Subtraction with Negative Integers Review
• Multiplication
• The Rules of Multiplication
• Division
• Multiplication and Division Review
• Exponents
• Roots
• Exponents and Roots Review
• Order of Operations
• Grouping
• Order of Operations Review

## Objectives

• Describe the importance of mathematics for manufacturing employees.
• Solve addition and subtraction problems.
• Describe integers and negative numbers.
• Solve addition and subtraction problems with negative integers.
• List integers in order from least to greatest.
• Solve basic multiplication problems using integers.
• Explain the rules for multiplying with negative integers.
• Solve basic division problems containing integers.
• Describe exponents.
• Describe roots.
• List the correct order of mathematical operations.
• Explain the rules for grouping symbols.

## Certifications

SME
• CMfgA
NIMS
• CNC Lathe Operations
• CNC Milling Operations
• CNC Milling Programming, Setup, & Operation
• CNC Milling: Operations-FastTrack
• CNC Milling: Programming, Setup, and Operations-FastTrack
• CNC Turning Programming, Setup, & Operation
• CNC Turning: Operations-FastTrack
• CNC Turning: Programming, Setup, and Operations-FastTrack
• Drill Press I
• Drill Press Skills-FastTrack
• Grinding I
• Grinding Skills-FastTrack
• Job Planning, Benchwork, & Layout I
• Job Planning, Benchwork, and Layout-FastTrack
• Manual Milling Skills-FastTrack
• Measurement, Materials, & Safety I
• Measurement, Materials, and Safety-FastTrack
• Milling I
• Turning Operations: Turning Between Centers-FastTrack
• Turning Operations: Turning Chucking Skills
• Turning Operations: Turning Chucking Skills-FastTrack
MSSC
• MSSC Fast Track Quality

## Glossary

Vocabulary Term Definition
addition A mathematical operation that unites two separate quantities into one sum. 2 + 2 = 4 is an example of addition.
algebra A branch of mathematics that uses known quantities to find unknown quantities. In algebra, letters, such as x and y, are sometimes used in place of unknown numbers.
arithmetic The branch of mathematics that involves basic operations. These operations include addition, subtraction, multiplication, and division.
blueprint The instructions and drawings that are used to manufacture a part. Using blueprints effectively requires a good understanding of math.
calculus A branch of mathematics that measures changes in one quantity in relation to another. Calculus is used for functions involving curves.
cubed A number with an exponent of three. An exponent of three indicates the number should be multiplied by itself three times.
division A mathematical operation that indicates how many equal quantities add up to a specific number. 8 ÷ 4 = 2 is an example of division.
exponents Numbers that indicate how many times a given number is multiplied by itself. Exponents are also known as powers.
fraction A mathematical expression with two numbers placed above and below a division. This expression indicates the number of divisions or portions and the size of each division or portion.
geometry The branch of mathematics that involves the measurements, properties, and relationships of all shapes and sizes of things. Geometry topics include lines and angles, circles, and triangles.
integers A whole number or its negative equivalent. The numbers -3, -2, -1, 0, 1, 2, and 3 are all integers.
mathematics The study of numbers and quantities and their relationships. Mathematics requires an understanding of the logic and rules used to solve numerical problems.
multiplication A mathematical operation that indicates how many times a number is added to itself. 2 x 4 = 8 is an example of multiplication.
negative Numbers less than zero that represent a reduction or absence of a quantity. -1, -2, and -3 are all examples of negative numbers.
number line A line on which numbers are marked at intervals. On a number line, smaller numbers are placed to the left, with larger numbers placed to the right.
operations A mathematical action or process such as addition or subtraction. A mathematical equation consists of a series of operations.
order of operations The mathematical rules that determine the correct order for solving any sequence of math operations. Solve powers and roots first, then multiplication and division, and finally addition and subtraction.
powers Numbers that indicate how many times a given number is multiplied by itself. Powers are also known as exponents.
root A number that, when multiplied by itself a specified number of times, results in a given number. For example, the square root of 64 is 8.
roots A number that, when multiplied by itself a specified number of times, results in a given number. For example, the square root of 64 is 8.
square root A number that, when multiplied by itself, results in a given number. For example, the square root of 64 is 8.
squared A number with an exponent of two. An exponent of two indicates the number should be multiplied by itself.
subtraction A mathematical operation that takes away a quantity from a larger whole. 4 - 2 = 2 is an example of subtraction.
trigonometry A branch of mathematics that addresses the measurements and relationships of a triangle and its parts. The parts of a triangle include its angles and sides.
whole numbers A number that is equal to or greater than 0 with no fractions or decimals. 1, 2, 3, 4, and so on are all examples of whole numbers.
zero The integer indicating the absence of a quantity or amount. On a number line, zero indicates the point where negative numbers change into positive numbers.