Basic Arithmetic : Division with Whole Numbers and Remainders

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

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? 

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

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

Please choose the best answer for the question below. 

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

Possible Answers:

 remainder

 remainder

 remainder

 remainder 

 remainder

Correct answer:

 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 #4 : Division With Whole Numbers And Remainders

  

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

Possible Answers:

 remainder 

 remainder 

 remainder 

 remainder 

 remainder 

Correct answer:

 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.  

, so that's your remainder. 

Example Question #5 : 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?

Possible Answers:

 blankets each,  left over

 blankets each,  left over

 blankets each,  left over

 blankets each,  left over

 blankets each,  left over

Correct answer:

 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 #6 : Division With Whole Numbers And Remainders

What is 

Possible Answers:

Correct answer:

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.

Example Question #29 : Real Numbers

Evaluate the following:

Possible Answers:

Correct answer:

Explanation:

When you subtract integers, it is the same thing as adding the inverse of the second integer. You can consider the following:

You can also consider the problem as asking for six less than negative four. This will also get you to the answer of

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