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NMTA Essential Academic Skills Subtest Math (003): Practice & Study Guide43 chapters | 216 lessons | 11 flashcard sets

Instructor:
*Michelle Vannoy*

Have you ever thought that math was too hard to understand, or ever made the statement, ''I just don't get it?'' Maybe the trouble is you don't understand the language. This lesson will break down some of the language of math's most common words and translate it to 'English' for you.

Do you speak a foreign language? Suppose someone needed directions but did not speak the same language that you spoke. It would be tough to know what they were asking and even harder to give them the directions they needed to get where they were going. Math is like a foreign language. If you don't speak it, then it's challenging to understand and even harder to follow the directions given. One of the first things you need to do to be a successful math student is to speak and understand the language.

If you have ever learned or tried to learn a new language, you know that you always start with the basics. Let's look at some basic math words and symbols and define what they mean.

**=**This is an equal sign. In math, it means that what is on the left of the sign has the same numerical value as what is on the right side of the sign. This could be something simple like 2=2 or something more difficult like y=3x-2. Understanding that no matter which type of statement given, simple or complex, they just mean that the tow statements are the same.- An equal sign with a slash through it means what is on the left of the equation does not equal what is on the right of the equation. In the case of this sign, the values on each side are different.
**+**This is a plus sign, and it means to add. For instance, if you had one apple, and your friend gave you another apple, you know have 2 apples 1+1 = 2. Addition is also referred to as the sum of 2 or more numbers. In the case of addition, you will always end up with more than what you started with. You are gaining more than what you had.**-**This is the symbol for subtraction. Subtraction is used when something is taken away, given away, or spent (in the case of money or bartering). It means to have less than what you started with. It is the opposite operation of addition.**x**or*****These are symbols meaning to multiply. Multiplying is adding a number over and over again a specified amount of times. For example, 3*4 would be the same thing as 3+3+3+3. Just like addition, you will be gaining more that what you started with. Multiplication is just a faster way to add.**/**This symbol means to divide. Dividing is placing 'things' into equal groups. For example, 12/4 (12 divided by 4), means to divide 12 into 4 equal groups. If you had 12 objects and divided them into 4 equal groups, you would have 4 groups of 3 items. Division is the opposite operation of multiplication.

These are the basic symbols in math that are used in everyday life.

**Exponent**- Exponents can be any number. The number tells how many times to multiply the base by itself. For example 2^3, 2 to the 3rd power, would be 2*2*2=8. 2^6, 2 to the 6th power, would be 2*2*2*2*2*2=64. An exponent is always written smaller than the base and is positioned higher than the base. Exponents are just a faster way to multiply something.**Radical**- A radical is the opposite of an exponent. Radicals can represent a square root if there is not a number in the crook of the radical. If it is a square root, it is asking for what number times itself equals the number under the radical. For example the square root of 64, 8x8 equals 64, so the square root of 64 is 8. If the radical has a 3 in the crook, then it is a cube root. The cube root of 8 = 2 (2*2*2 =8). It can have a 4 for the fourth root, and so on.**Fraction**- A fraction is a ratio between a part and a whole. For example, if you have a pie and there are 8 slices in it, you eat one slice then you ate 1 out of the 8 pieces or 1/8 of the pie. There are 7 out of 8 pieces left or 7/8 of the pie. A fraction also can represent division. The top number of the reaction (the numerator) is divided by the bottom number of the fraction (the denominator. If the denominator is larger than the numerator, then the answer will be a decimal (represents a number less than 1)**Variable**- A variable is any symbol that represents (or stands in the place of an equation) for any unknown number. Most of the time the letter x is used for a variable, but it can be an r, q, s or :). It is just a placeholder for a number you do not know yet.**Equation**- An equation is a statement that shows that the values on the left of the equal sign are equal to the values on the right of the equal sign. EX. 2+4 =6 or 3x+5=18.**Term**- A term is any part of an equation. Most of the time, they will be separated by a +, -, /, *, or = sign.

This lesson has defined several basic math terms to help you learn the language of math. Just like any language, fluency comes from speaking the language and continuing to study the words and meanings. Words like **plus +**, **equal =**, **not equal**, **minus -**, **multiply x or ***, **divide /**, **exponent**, **radical**, **fraction**, **variable**, **equation**, and **term** are just the basics of the language, but are needed for the foundations of the language of mathematician. To continue learning your new language, make sure to look for new math words and learn their symbols and definitions to keep progressing and become a math language expert.

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NMTA Essential Academic Skills Subtest Math (003): Practice & Study Guide43 chapters | 216 lessons | 11 flashcard sets

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