Basic Arithmetic : Whole Numbers

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #1 : Operations With Whole Numbers

Round to the nearest hundredth:

\displaystyle 178.01786

Possible Answers:

\displaystyle 178.01

\displaystyle 178.01

\displaystyle 178.02

\displaystyle 200.01

\displaystyle 178.02

\displaystyle 200

\displaystyle 200

\displaystyle 200.01

Correct answer:

\displaystyle 178.02

Explanation:

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 \displaystyle 178.02

Example Question #1 : Rounding

Baseballs can only be bought in packages of \displaystyle 10. If team needs \displaystyle 145 balls for the season and always rounds that estimate up, how many packages do they need?

Possible Answers:

\displaystyle 14

\displaystyle 140

\displaystyle 15

\displaystyle 150

Correct answer:

\displaystyle 15

Explanation:

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

Example Question #1 : Whole Numbers

Round \displaystyle 127 to the nearest ten.

Possible Answers:

\displaystyle 130

\displaystyle 150

\displaystyle 100

\displaystyle 120

Correct answer:

\displaystyle 130

Explanation:

To round to the nearest ten, you need to take a look at the ones' place. Since the ones' place is greater than \displaystyle 5, you will need to round the tens' place up.

So then \displaystyle 127 is rounded up to \displaystyle 130.

Example Question #2 : Basic Arithmetic

Round \displaystyle 1812.18 to the nearest ones' place.

Possible Answers:

\displaystyle 1813

\displaystyle 1810

\displaystyle 1812

\displaystyle 1811

Correct answer:

\displaystyle 1812

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.

Example Question #3 : Rounding

Round \displaystyle 871 to the nearest hundred.

Possible Answers:

\displaystyle 900

\displaystyle 870

\displaystyle 850

\displaystyle 800

Correct answer:

\displaystyle 900

Explanation:

To figure out how to round any number, look at the digit to the right of the place you're supposed to be rounding.

Since we want to round the hundreds place, look to the tens place first. If the tens place is greater than 5, then we round up. If the tens place is less than five, then leave the hundreds place alone.

Because the tens place is 7, we will need to round to 900.

Example Question #5 : Rounding

What is \displaystyle \small 5,384,981 rounded to the nearest ten-thousands place?

Possible Answers:

\displaystyle \small 5,390,000

\displaystyle \small 5,380,000

\displaystyle \small 5,400,000

\displaystyle \small 5,384,980

\displaystyle \small 5,385,000

Correct answer:

\displaystyle \small 5,380,000

Explanation:

An important thing to remember when rounding is knowing which place you're rounding to. In this problem, we our rounding to the ten-thousands place, therefore we need to take a look at two things: 1) which number appears in that place, and 2) what number appears immediately after it:

\displaystyle \small 5,384,981

With this number, an \displaystyle \small 8 appears in the ten-thousands place and a \displaystyle \small 4 appears immediately thereafter. When rounding, we take a look at the number after the place we're rounding to see whether we are rounding up or down. If we have a \displaystyle \small 0,1,2,3, or \displaystyle \small 4 in that place, we will round down, but if we have a \displaystyle \small 5,6,7,8 or \displaystyle \small 9, we will round up. Since in this number we have a \displaystyle \small 4 in that place, we will round down to \displaystyle \small 8. All the places now to the right of the \displaystyle \small 8 can be written as \displaystyle \small 0s, and our final answer is:

\displaystyle \small 5,384,981\Rightarrow5,380,000

Example Question #3 : Basic Arithmetic

If I had \displaystyle \$443 in the bank and deposited an additonal \displaystyle \$96 today, how much do I have in total?

Possible Answers:

\displaystyle \$419

\displaystyle \$539

\displaystyle \$519

\displaystyle \$439

Correct answer:

\displaystyle \$539

Explanation:

1. Add the ones places:

\displaystyle 6+3=9

2. Add the tens places:

\displaystyle 4+9=13

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

3. Add the hundreds place:

\displaystyle 4+1+5

This makes your total:

\displaystyle \$539

 

Example Question #6 : Whole Numbers

Find the sum.

\displaystyle 19+128= ?

Possible Answers:

\displaystyle 123

\displaystyle 168

\displaystyle 125

\displaystyle 147

Correct answer:

\displaystyle 147

Explanation:

First add the digits in the ones colume, this would be \displaystyle 8+9=17. Make sure to carry the 1 from the 17 to the tens colume.

Then add the digits in the tens colume, this would be \displaystyle 1+2+1=4.

Lastly, add the digits in the hundrends colume, this would be \displaystyle 1

Therefore the result is as follows:

Sum

Example Question #2 : Whole Numbers

\displaystyle 5 + 2 =?

What is the solution of the above operation?

Possible Answers:

\displaystyle 5

\displaystyle 2

\displaystyle 8

\displaystyle 7

\displaystyle 6

Correct answer:

\displaystyle 7

Explanation:

\displaystyle 2 + 5 = 7

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

 

 \displaystyle (x+x+x+x+x)+(y+y) = (x+x+x+x+x+y+y)

We have 7 objects total!

Example Question #2 : Operations With Whole Numbers

\displaystyle 6 + 5 = ?

What is the solution of the above equation?

Possible Answers:

\displaystyle 13

\displaystyle 11

\displaystyle 9

\displaystyle 10

\displaystyle 1

Correct answer:

\displaystyle 11

Explanation:

\displaystyle 5+6=11

If x represents objects.

For 5:

\displaystyle 5=(x+x+x+x+x)

For 6:

\displaystyle 6=(y+y+y+y+y+y)

\displaystyle (x+x+x+x+x)+(y+y+y+y+y+y)=(y+y+y+y+y+y+x+x+x+x+x)

We can see that 11 objects result.

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