2023 Audio GED Prep Mathematics Lesson 1

Audio GED Prep Mathematics Lesson

Audio GED Prep Mathematics will include: An integer is a positive or negative number that does not have a decimal or fraction. These are what are used when counting objects. See more below:

The full GED Audio Course is available at:

http://www.audiogedprep.com

Full Course is available at:

https://gumroad.com/l/wHvQ

Lesson Summary:

Audio GED Prep Mathematics Lesson 1

Integers and Decimal

Definition of an integer/decimal

An integer is a positive or negative number that does not have a decimal or fraction. These are what are used when counting objects. When a decimal point is present, everything to the left is an integer, and everything to the right is a decimal.

A decimal is a part of an integer. Numbers closer to the decimal point are larger, which is the opposite of how it is for integers.

Positive and negative numbers

In math, you might see what is called a number line, in which the middle point is marked 0, and numbers are listed as points on a line going out to the left and right. The number 0 is neither positive nor negative, and everything to the right of 0 is a positive number, and everything to the left of 0 is a negative number. You indicate a negative number by putting a dash/minus sign in front of it.

Negative numbers have their own set of rules. When you add a negative number, it is the same as subtracting that same number. If you subtract a negative number, it is the same as adding that same number. Just remember that these two are reversed. When you multiply two negative numbers as well, you will always get a positive number. (The minus signs cancel each other out.) If, however, you multiply a negative number and a positive number, you will always get a negative number.

Addition

Addition is when you take two numbers and combine them to create a new total. Addition is indicated by a plus sign, which looks like a small cross. When you speak an addition equation, you say “five plus six is eleven”, which is the same as 5 + 6 = 11.

Subtraction

Subtraction is when you take two numbers and take one away from another to create a new total. Subtraction is indicated by a minus sign, which looks like a small dash. When you speak an addition equation, you say “ten minus nine is one”, which is the same as 10 – 1 = 9.

Multiplication

Multiplication is when you take one number and multiply that number by another number. Multiplication is indicated by a small X or sometimes an *. When you speak a multiplication equation, you say “four times three is twelve”, which is the same as 4 x 3 = 12 or 4 * 3 = 12.

Division

Division is when you take one number and divide into the number of parts indicated by a second number. Division is indicated by a division sign (÷) or sometimes by a slash (/). When you speak a division equation, you say “ten divided by two equals five”, which is the same as 10 ÷ 2 = 5 or 10/2 = 5.

Absolute value

Absolute value refers to how many units a number is worth, no matter whether it is positive or negative. You can mark the absolute value by putting vertical lines around a number, such as |2|.

The absolute value of ten (|10|) is ten, and the absolute value of negative 10 (|-10|) is still 10.

Comparisons

Sometimes in math, you need to talk about whether something is greater than or less than, equal to, or not equal to something else.

To show that something is greater than something else, you use the sign >.

Example: 7 >