Operations with Whole Numbers - Basic Arithmetic

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Question

For the following questions, please select the answer that most correctly completes the equation.

Answer

Ones digit:

Tens digit: (leave the two at the tens, carry the one to the hundreds digit)

Hundreds digit: , add the one from the tens digit, so you get 5 + 1 = 6

Thousands digit:

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Question

Find the sum.

Answer

First add the digits in the ones colume, this would be . Make sure to carry the 1 from the 17 to the tens colume.

Then add the digits in the tens colume, this would be .

Lastly, add the digits in the hundrends colume, this would be

Therefore the result is as follows:

Sum

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Question

If I had in the bank and deposited an additonal today, how much do I have in total?

Answer

1. Add the ones places:

2. Add the tens places:

***don't forget to put the 3 down and carry the one to the hundreds place***

3. Add the hundreds place:

This makes your total:

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Question

What is the solution of the above operation?

Answer

We can see this because if we had 5 (represented by ) and add another 2 objects (represented by ) we should get 7 objects ( and ) total.

We have 7 objects total!

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Question

What is the solution of the above equation?

Answer

If x represents objects.

For 5:

For 6:

We can see that 11 objects result.

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Question

Evaluate the following:

Answer

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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Question

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?

Answer

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.

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Question

Please choose the best answer for the question below.

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

Answer

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.

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Question

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

Answer

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.

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Question

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

Answer

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.

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Question

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?

Answer

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.

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Question

What is

Answer

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.

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Question

Please choose the best answer for the question below.

What is

Answer

.

Use a calculator to check your work if allowed, but if not, then I'd reccommend the following method, breaking the problem down into smaller pieces.

And then add your results:

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Question

What is the solution of the above equation?

Answer

We can see this by implementing objects.

groups of objects

^ We can see that there are 21 objects.

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Question

Answer

Untitled

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.

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Question

What is

Answer

You can simplify this problem:

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

.

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Question

Solve for :

Answer

To solve this equation, follow order of operations:

First we do the calculations inside the parentheses.

Then we subtract to get our final answer.

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Question

Solve for :

Answer

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.

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Question

Round to the nearest hundredth:

Answer

The hundredth place is the 2nd number after the decimal. Because the thousandth place is great than 5, we will need to round up to

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Question

Baseballs can only be bought in packages of . If team needs balls for the season and always rounds that estimate up, how many packages do they need?

Answer

1. Round 145 to the nearest 10:

Since there is a 5 in the ones place, 145 rounds up to 150.

2. Divide the rounded number of baseballs by 10 since they come in packages of 10:

150/10=15 packages

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