# Basic Arithmetic : Whole Numbers

## Example Questions

### Example Question #1 : Multiplication With Whole Numbers

Explanation:

Start with . That gives . Write the ones' place down underneath the  and the  and carry the  to the next place.

Next, do . That gives . However, remember to add the  you carried over from the previous step.

Now, write down  down next to the . Make sure the  is lined up beneath the  and  and the  is in the hundreds' place.

Now, do . Because we are multiplying using the tens' place of , you need to make sure that you write down the product of  and  in the tens' place, underneath the  from your previous answer.

Next, do . Write this product () in the hundreds' place.

Finally, add these two numbers together.

### Example Question #4 : Multiplication With Whole Numbers

What is

Explanation:

You can simplify this problem:

, and , so if you simplify those parts of the equation, you are left with .

### Example Question #2 : Multiplication With Whole Numbers

Solve for :

Explanation:

To solve this equation, follow order of operations:

First we do the calculations inside the parentheses.

Then we subtract to get our final answer.

### Example Question #21 : Basic Arithmetic

Solve for :

Explanation:

To solve for m we need to isolate m on one side of the equation and all other numbers on the other side of the equation.

Our first step is to divide by 12 on both sides. Remember to undo an operation from one side of the equation and cancel out a number we need to perform the opposite operation. If you have a number multiplied by another number or a variable you need to divide to cancel out that said number.

Then we divide by 3 to get our final answer.

### Example Question #1 : Division With Whole Numbers And Remainders

Kevin has won  toys from a competition and decides to keep  toys for himself. He would like to give the rest of the toys to four of his close friends.

If each of Kevin's friends receive the same number of toys from Kevin, how many will be remaining?

Explanation:

The correct answer is 2 remaining toys. Kevin has 34 toys to start and he keeps 4 for himself. This means that he has 30 toys to give to four friends.

When we divide 30 by 4, we get 7.5. Since each friend cannot get half a toy, each friend can receive 7 toys.

This means that of the 30 toys, there will be 2 toys remaining.

### Example Question #2 : Division With Whole Numbers And Remainders

What is the result (with the remainder) in the above equation?

Explanation:

We divide the top by the bottom.

Test how many times 10 fits into 32 (try 3 times).

We subtract 30 from 32:

10 cannot fit into 2 so the remainder is 2.

### Example Question #3 : Division With Whole Numbers And Remainders

What is  divided by ?  Find a whole number and a remainder.

remainder

remainder

remainder

remainder

remainder

remainder

Explanation:

Simply divide to answer this question:

remainder

The maximum number of times  can go into  is , and you have  left over.

To put it another way, .  If you subtract  from , you are left with , so that's your remainder.

### Example Question #21 : Basic Arithmetic

What is  divided by ?  Express your answer as a whole number with a remainder.

remainder

remainder

remainder

remainder

remainder

remainder

Explanation:

is not evenly divisible by .  As such, you want to first find out how many whole 's can go into .

, so  is too many.

, which is  as close to  as you can get.

### Example Question #1 : Division With Whole Numbers And Remainders

Carla and four of her friends are having a sleep over. Carla has seventeen blankets in her house. She wants to distribute her blankets evenly among all of the people at the sleepover (her included). How many blankets does each person get?  How many are left over?

blankets each,  left over

blankets each,  left over

blankets each,  left over

blankets each,  left over

blankets each,  left over

blankets each,  left over

Explanation:

So, we have  blankets, and  sleep over attendees.

can go into  a maxiumum of  times without going over, so each attendee gets  blankets.

, so there are  blankets left over.

### Example Question #1 : Division With Whole Numbers And Remainders

What is

Explanation:

When you are dealing with negative numbers, the following rules apply.

If there are no negative signs, the answer is positive.

If there is one negative sign, the answer is negative.

If there are two negative signs, the answer is positive.

, and since there is only one negative sign the answer is negative.  is the solution.