Operations with Whole Numbers

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Basic Math › Operations with Whole Numbers

Questions 1 - 10
1

A city bus has five stops left on its route. At the first stop, people get off. At the second stop, get off. At the third, no one gets off. At the fourth, people get off. At the fifth, there are people left on the bus, and they all get off. How many people were on the bus before the first stop?

Explanation

To solve, create a linear equation:

represents the total number of people on the bus before the first stop.

We then subtract the amount of people that got off at each stop and set that equal to the number of people to get off at the final stop.

2

A city bus has five stops left on its route. At the first stop, people get off. At the second stop, get off. At the third, no one gets off. At the fourth, people get off. At the fifth, there are people left on the bus, and they all get off. How many people were on the bus before the first stop?

Explanation

To solve, create a linear equation:

represents the total number of people on the bus before the first stop.

We then subtract the amount of people that got off at each stop and set that equal to the number of people to get off at the final stop.

3

What is the solution of the above equation?

Explanation

We can show this using objects:

We can see that only 7 objects are left.

4

What is the solution of the above equation?

Explanation

We can show this using objects:

We can see that only 7 objects are left.

5

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

Explanation

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:

6

Explanation

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.

7

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

Explanation

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:

8

Explanation

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.

9

Round to the nearest ones' place.

Explanation

To figure out how to round the ones' place, we need to first look at the digit that's to the right of it. If the digit to the right of the ones' place is less than 5, then we leave the ones' place alone.

Since the tenths place is 1, we will leave the ones place alone.

10

Round to the nearest ones' place.

Explanation

To figure out how to round the ones' place, we need to first look at the digit that's to the right of it. If the digit to the right of the ones' place is less than 5, then we leave the ones' place alone.

Since the tenths place is 1, we will leave the ones place alone.

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