Math
We all need it. Like to figure out change, tips, how to measure and build things. Math can either be very easy for some, extremely hard for others, or it's in the middle they are better at somethings that other things. So here this will help with 7th grade math class. So I'm going to tell you what all I have learned in 7th grade math. But first I'm just going to start by telling you some basic vocab and their detentions! Rational number: A rational number is a number that can be written as a ratio of integers. Integer: A integer is a member of the set of whole numbers and their opposites. Repeating Decimal: A repeating decimal is one or more digits repeat infinite. Additive inverse: The opposite of a number added together they equal zero. Terminating decimal: A decimal number that ends, or terminates. Negative number: A number that is less than zero. Opposites: Two numbers that are an equal distance from zero on a number line; also called additive. Positive number: A number that is greater than zero. Sum: The result when two or more numbers are added. Absolute value: The distance of a number from zero on a number line. Expression: A mathematical phrase that contains operations, numbers, and/or variables. Reciprocal: One of the two numbers whose product is one; also called multiplicative inverse. Substitute: To replace a variable with a number or another expression in an algebraic expression.
Algebra
In math you will need to know how to multiply, divide, subtract, and add fractions and decimals. To add and subtract fractions is easy, all you need to do is find the LCD which is Least Common Denominator, which all you have to do is write out the multiples of the two numbers or sometimes you can multiply them together. And what you do to the bottom you do to the top of the fraction. So if you have to fractions
3/5 and 2/3
To find the answer you would like of the multiples of 5 and 3 5: 5, 10, 15 and 3: 3, 6, 9, 12, 15. (or just 3*5=15). So now you fraction is changed to 3/15 and 2/15. What you do to the bottom you do to the top. So you would have to do 3*3=9 because you times 3 by 5 to get 15. now you first fraction looks like 9/15. The second fraction you would times 2 by 5 which is 10. So now your fractions are-
9/15 + 10/15 = 19/15.
There are many definitions that we have to know in math. Like what a variable is? Well a variable is a symbol used to represent quantity that can change. A substitute is to replace a variable with a number or another expression in an algebraic expression. Constant is a a value that doesn't change. Coefficient the number that is multiplied by the variable in an algebraic expression. Equation is mathematical sentence that shows 2 expressions. Expression a mathematical phrase that contains operations numbers and/or variables. Evaluate is to find value of a algebraic expression. Like terms are terms with the same variable raised to the same exponents. Reciprocal one of two numbers whose product is one; also called multiplicative inverse.
Right now in class we are starting to get into algebra. Algebra in actually very simple. We learned how to write algebraic expressions.
3/5 and 2/3
To find the answer you would like of the multiples of 5 and 3 5: 5, 10, 15 and 3: 3, 6, 9, 12, 15. (or just 3*5=15). So now you fraction is changed to 3/15 and 2/15. What you do to the bottom you do to the top. So you would have to do 3*3=9 because you times 3 by 5 to get 15. now you first fraction looks like 9/15. The second fraction you would times 2 by 5 which is 10. So now your fractions are-
9/15 + 10/15 = 19/15.
There are many definitions that we have to know in math. Like what a variable is? Well a variable is a symbol used to represent quantity that can change. A substitute is to replace a variable with a number or another expression in an algebraic expression. Constant is a a value that doesn't change. Coefficient the number that is multiplied by the variable in an algebraic expression. Equation is mathematical sentence that shows 2 expressions. Expression a mathematical phrase that contains operations numbers and/or variables. Evaluate is to find value of a algebraic expression. Like terms are terms with the same variable raised to the same exponents. Reciprocal one of two numbers whose product is one; also called multiplicative inverse.
Right now in class we are starting to get into algebra. Algebra in actually very simple. We learned how to write algebraic expressions.
Solving algebraic expressions are very easy actually! To solve the problem you add the numbers with the same "last name," which is the numbers with the same variable. So for example is there is a problem like
5x + 12 * 3x - 8y + 6 +9y
So then you would want to add the X's together, 5x + 3x, so it would be 8x. After that you would have to SUBTRACT the Y family, because the subtraction sign is front of the 8 which makes it a negative because the 9 is a positive, 9y - 8y=1y. Then add the "normal" numbers, the ones with no variable, 12 + 6= 18. So now you answer is 8x + 18 * 1y. And that is it because they all have different variables and you can't solve unless they are have the same "last name," variable.
5x + 12 * 3x - 8y + 6 +9y
So then you would want to add the X's together, 5x + 3x, so it would be 8x. After that you would have to SUBTRACT the Y family, because the subtraction sign is front of the 8 which makes it a negative because the 9 is a positive, 9y - 8y=1y. Then add the "normal" numbers, the ones with no variable, 12 + 6= 18. So now you answer is 8x + 18 * 1y. And that is it because they all have different variables and you can't solve unless they are have the same "last name," variable.