Math Toolkit! 📚 by Charles Kuo

Positive and Negative Integers

kuocha1 — 2023-09-21 18:23:10 UTC

Adding ➕

kuocha1 — 2023-09-22 18:34:16 UTC

When adding if the signs are the same then add it regularly and add the sign. If the signs are different then subtract the two numbers and keep the sign of the number with the greater absolute value.

Subtracting ➖

kuocha1 — 2023-09-22 18:42:10 UTC

When subtracting negative and positive integers you don subtract you add the inverse. This means that you change the subtraction sign to an additional sign and change the last number to positive if it was negative or negative if it was positive.

Multiplying ✖

kuocha1 — 2023-09-22 18:49:34 UTC

When multiplying negative and positive integers you multiply it normally but when the signs are the same its always positive and when they are different then it is negative.

Dividing ➗

kuocha1 — 2023-09-26 18:36:31 UTC

When dividing negative and positive integers you don't divide you multiply the inverse which means you change the sign to a multiply and the last integer to the other sign either negative or positive and just multiply it.

kuocha1 — 2023-09-26 18:38:27 UTC

kuocha1 — 2023-09-26 18:40:03 UTC

kuocha1 — 2023-09-26 18:41:43 UTC

kuocha1 — 2023-09-26 18:43:44 UTC

Rational fractions to decimals

kuocha1 — 2023-10-05 18:34:25 UTC

Fraction to decimals

kuocha1 — 2023-10-05 18:37:35 UTC

First you put the fraction in the calculator then you press 2nd prb to switch it to a decimal.

kuocha1 — 2023-10-05 18:40:01 UTC

Decimals to fractions

kuocha1 — 2023-10-05 18:43:43 UTC

To make a decimal a fraction you put the decimal into the calculator and do the same thing 2nd PRB to change it to a fraction.

Square Roots and Cubed Roots

kuocha1 — 2023-10-05 18:47:48 UTC

Square Roots

kuocha1 — 2023-10-13 18:16:59 UTC

Square roots you have to find the number that = the square root when you multiply it together for example the square root of 9 is 3 because 3 * 3 = 9.

Cubed Roots

kuocha1 — 2023-10-13 18:19:03 UTC

For cubed roots its basically the same as square roots but 3 times so to find the cubed root it is the number that = cubed root by 3 for example the cubed root of 8 = 2 because 2 * 2 * 2 = 8.

Math Properties

kuocha1 — 2023-10-13 18:19:33 UTC

Communicative Property

kuocha1 — 2023-10-18 18:46:15 UTC

The communicative property works for addition and multiplication it means that if you switch the way the numbers are it will come out with the same result. For example 2 + 5 = 7 and 5 + 2 = 7. For example if you do subtraction and division it will come out with different answers for example 5 - 2 = 3 and 2 - 5 = -3.

Exponents

kuocha1 — 2023-10-18 18:47:19 UTC

Exponents

kuocha1 — 2023-10-18 18:49:32 UTC

Exponents are a number you put on top of another number. The exponent you put up is how much you multiply the number with itself for example 5 to the power of 2 is 25 because you multiply 5 * 5. The difference with 5 * 2 is that you multiply 5 * 2 not 5 * 5.

Identity Property

kuocha1 — 2023-10-20 18:48:13 UTC

The identity property is for addition and multiplication for addition you add any number with 0 and for multiplication you multiply any number by 1.

kuocha1 — 2023-10-27 18:37:05 UTC

kuocha1 — 2023-10-27 18:47:50 UTC

Solving Equations

2023-12-07 19:15:41 UTC

2023-12-07 19:17:49 UTC

Solving Equations

2023-12-07 19:18:56 UTC

When solving an equation you first have to look for like terms and if there are like terms you combine them. Then you will have something like this 3x = 12 and you are trying to solve for the variable x. So you dived 3 on both sides and then you will get x = 4.

No Solution or Infinite Solution

2023-12-07 19:21:27 UTC

No solution

2023-12-07 19:23:49 UTC

This happens when the equation can not have an answer for example 3x + 12 = 3x + -12. You would need to get rid of like terms so you would divide 3 on both sides and it would cancel out so it would be 12 = -12 and that doesn't make sense so this would be a no solution.

Infinite Solution

2024-01-03 19:16:42 UTC

Infinite Solution is when x = x or a variable = a variable for example 5x =5x, and when you divide both sides by 5 the answer is x = x and that is an infinite solution.