Calculator Remainder Trick

Today, I'm going to show you how to use any calculator to find the remainder. Let's use an example. 678 divided by 37. First, divide.

Then hit equals.

Subtract the whole number and equals. The remainder is found in the decimal.

Then multiply by the divisor. The divisor is the number you are dividing by. Here, it is 37.

We can check this. The quotient is the answer to a division problem. It has a whole number part and a remainder. The remainder is the leftover. Take the whole number multiply by the divisor and then add the remainder. This should give us the dividend. The dividend is the number you are dividing. Here it is 678.

18*37+12=?

It does work. I get 678. And it will work, every time. 

For more ways on how to use your calculator, check out my youtube channel. If you have any questions or blog ideas, you can e-mail me at jdmathguy@gmail.com

-JD

The Flow for Solving Linear Equations

Let's talk about solving linear or one-variable equations. The one-variable equation is the most basic type of equation, which you'll see in an algebra course. You definitely want to make sure you master it. When you are solving a one-variable equation, there are four general steps. You can consider it more like a flow because sometimes you don't have to use all the steps.

Consider the goal. Your goal is to get the variable by itself. First, check if you need to simplify both sides or not. At this point, you'll simplify each side of the equal sign like an expression. Step 2 and 3 are properties of equality. With steps 2 and 3, think of a balance or a pair of scales - whatever you do one side, you have to do to the other. Whatever you want to undo, you do the opposite in order to cancel it out. With addition, you do subtraction and vice versa. When multiplying, you either divide or multiply both sides by the reciprocal.

Here are some examples:

Solving equations can be both an art and science. With equations, you can always verify your answers, so I would definitely check your answers.

Another tip for solving equations. Since you can use the properties of equality at any time, you can multiply both sides by the LCD to remove the fractions. When you do this, make sure you distribute to each term.

For more on simplifying expressions, check out my youtube channel. If you have any questions or blog ideas, you can e-mail me at jdmathguy@gmail.com

-JD

The Order of Operations

Let's talk about the order of operations. Have you ever heard of Aunt Sally? Do you have an Aunt Sally? "Please Excuse My Dearest Sally" is a common memory hook for the order of operations, but you have to be careful.

Parenthesizes or Grouping symbols

• Work inside out {[()]}
• Other (i.e. absolute value bars,square root,fraction bar)

Exponents

Multiply or divide from left to right

Add or subtract from left to right

To remember: gem-das or please excuse my dearest aunt sally

The first step is parenthesizes or grouping symbols. You want to work inside out - start with the innermost and work to the outermost. When you are inside the grouping symbols, the order of operations still apply.

After those are done, do the exponents.

Step 3 is multiplication or division from left to right. If division appears first from left to right, you do that first and then multiplication. It is multiplication or division from left to right.

Step 4 is addition or subtraction from left to right. Again, it is whatever appears first from left to right.

Be careful when you do the order of operations. With the memory hook, sometimes I might see someone do all the multiplication first and then division. It is multiplication or division from left to right.

For more on simplifying expressions, check out my youtube channel. If you have any questions or blog ideas, you can e-mail me at jdmathguy@gmail.com

-JD