Featured 2 months ago

-12

Adding and subtracting negative numbers is a pretty tricky thing to learn (trust me, I know!), but if you go through it slowly and use a couple tricks, you can figure it out.

Here's our equation:

The first two numbers we are going to deal with are

So the easiest way to learn how to do this type of problem is make a number line like this:

Obviously, this number line doesn't go far enough, but you could draw it to go all the way to **to the right** 9 lines. Where is your finger at now? It should be at

( **If you need extra explanation:** You moved 9 spaces to the **right** because that is that direction positive numbers are. Since 9 is positive, you will get closer to 0, not further away.)

Okay! So now we have:

Put your finger back on the **to the left** 5 spaces. Because

You should now be at

Featured 2 months ago

Divisibility by

Divisibility by

Divisibility by

Divisibility by

Divisibility by

Featured 2 months ago

As the last two digits in

Dividing by

but factors of

Hence prime factors of

**Note** : This method of factorization, in which we first find identifiable factors and then proceed until all prime factors are known is called **tree method**. This is graphically described below.

Featured 2 months ago

Do long division ..

You can continue for as many decimal places as you wish.

Or simply use a calculator if you need the answer immediately.

Featured 1 month ago

This is a metric prefix problem. Some of the metric prefixes are:

In this case, you have:

We see that the largest is

Featured 1 month ago

See the construction tips in the explanation.

Draw a number line ( A to B) of some easily divisible length. Perhaps 15 lots of

Draw the line BG of some length that is easily divided into 5 equal parts. The angle does not matter as long as it is sensible.

Draw the line GA. Then the parallel lines from F,E,D and C

This has provided a full set of

Count

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In the same way as in Step 1 divide AH into 3 parts

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

In the same way divide AB into

Featured 1 month ago

.

In order to compare, we need to convert all four speeds to a common unit. Let's convert them all to feet per hour:

There are

We divide

Therefore,

Featured 1 month ago

A teacher will expect the prime number method. Just for the hell of it this is a different approach!

168

We have two numbers ; 24 and 7

I am going to count the 24's. However lets look at this value.

24 can be 'split' into a sum of 7's with a remainder. So each 24 consists of:

If we sum columns of these we will get the 3 summing to a value into which 7 will divide exactly. When this happens we have found our least common multiple.

REMEMBER WE ARE COUNTING THE 24's

We have a count of 7 so the value is

Featured 1 month ago

Let's use a number line and start at

Now since the temperature **rose** by 8, we know that it is going to move to the **right** towards the positive numbers. It is always the same on a number line:

Put your finger on the

You should be on the

So the temperature is now

Featured 2 weeks ago

Write each number as the product of its prime factors.

Then you see what are made up of and what they have in common: