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 > 4 The sign ≥ means “greater than or equal to”. To show that something is less than something else, you use the sign Example: 2 < 4 The sign ≤ means “less than or equal to”. To show that something is equal to something else, you use the sign = Example: 5-2 = 1+2 To show that something is not equal to something else, you use the sign ≠ Example: 7-3 ≠ 9- 4 Large Addition It is easy to do simple addition in your head, but larger problems often require either a calculator or for you to figure it out on paper. In order to do this put the larger number on top and the smaller number below it so that all the digits line up, the ones in the ones place, the tens in the tens place and so on. You then draw a line below the two numbers to indicate the equals sign. The answer will go below the line. You then add the ones place, which is the place directly next to the decimal point to the left. If the sum of these numbers is less than ten, you simply write the total below the line directly underneath the ones place. If the result is larger than 10, you write a one above the next column over to the left and then the second digit of the total below the ones column. That one that you placed over the next column to the left needs to be figured into the total of the next column. You repeat this process until all of the columns have been added. If one number has more places than the other, there will be some columns that only have one number. In that case, the blank space is treated like a 0. Do not forget to add any ...