The dot plot is on a number line that is numbered from . is the highest number on the number line, but there are no dots above that number, which means no one found pencils in their desk. is the next highest number, and there are two dots over the number on the number line; thus, the correct answer is

When we are given coordinate points, it's important to know the difference between the x-axis and the y-axis, and which order these points are given. The x-axis is the axis that runs left to right and the y-axis is the axis the runs up and down. When coordinate points are written, the x value goes first, followed by the y value .

Knowing this information, we can plot the points and use straight lines to connect them in a counter-clockwise or clockwise direction. The provided coordinate points should create the following graph:

The first thing that we want to do when dividing decimals is to turn the divisor into a whole number. We do this by moving the decimal place to the right:

If we move the decimal over one place in the divisor, we must also move the decimal over one place in the dividend:

The new division problem should look as follows:

*Notice how we've already placed the decimal in our answer. When we divide decimals, we place the decimal directly above the decimal in the dividend, but only after we've completed the first two steps of moving the decimal point in the divisor and dividend.

Now we can divide like normal:

Think: how many times can 76 go into 197

76 can go into 197 two times so we write a 2 over the 7 in the dividend:

Next, we multiply 2 and 76 and write that product underneath the 197 and subtract:

Now we bring down the 6 from the dividend to make the 45 into a 456.

Think: how many times can 76 go into 456?

76 can go into 465 six times so we write a 6 above the 6 in the dividend:

Next, we multiply 6 and 76 and write that product underneath the 456 and subtract:

We are left with no remainder and a final quotient of 2.6

There are several different ways to solve for the area of a right triangle. In this lesson, we will transform the right triangle into a rectangle, use the the simpler formula for area of a rectangle to solve for the new figure's area, and divide this area in half in order to solve for the area of the original figure.

First, let's transform the triangle into a rectangle:

Second, let's remember that the formula for area of a rectangle is as follows:

Substitute in our side lengths.

Last, notice that our triangle is exactly half the size of the rectangle that we made. This means that in order to solve for the area of the triangle we will need to take half of the area of the rectangle, or divide it by .

Thus, the area formula for a right triangle is as follows:

or

There are several different ways to solve for the area of a right triangle. In this lesson, we will transform the right triangle into a rectangle, use the the simpler formula for area of a rectangle to solve for the new figure's area, and divide this area in half in order to solve for the area of the original figure.

First, let's transform the triangle into a rectangle:

Second, let's remember that the formula for area of a rectangle is as follows:

Substitute in our side lengths.

Last, notice that our triangle is exactly half the size of the rectangle that we made. This means that in order to solve for the area of the triangle we will need to take half of the area of the rectangle, or divide it by .

Thus, the area formula for a right triangle is as follows:

or

is equal to because both expressions will name the same number, no matter which number stands for.

Let's do a couple of samples!

Solve for

and

Solve for

and

As you can see, both expressions equaled the same value.

Divide each dimension by 3 to convert feet to yards, then multiply the three dimensions together:

The easiest way to do this problem is to multiply .

Another option is to add .

Either way, the correct answer is .

When we add with multi-digit numbers with decimals, we start with the numbers furthest to the right and work our way towards the left.

Add the numbers in the hundredths place:

Your work should look something like this:

Add the numbers in the tenths place:

Because this sum is greater than 9, we write the 1 from the ones place and carry the 1 from the tens place over to the left. Your work should look something like this:

Your work should look something like this:

*Notice that the decimal moves directly down when we are adding decimal numbers.

Add the numbers in the ones place including the one carried over:

Your work should look something like this:

Add the numbers in the tens place:

Your final answer should be:

There are several ways that we could solve this problem. First, we can say that the temperature in New Castle is below zero and in Tucson it is above zero; therefore we can say:

Also, we can solve this problem by using a number line. New Castle’s temperature is units away from zero and Tucson’s is units away.

We can see that Tucson is warmer than New Castle.