Basic Arithmetic : Rounding

Study concepts, example questions & explanations for Basic Arithmetic

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Example Questions

Example Question #1 : Rounding

Round to the nearest hundredth:

Possible Answers:

Correct answer:

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 

Example Question #2 : Rounding

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?

Possible Answers:

Correct answer:

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 #3 : Rounding

Round  to the nearest ten.

Possible Answers:

Correct answer:

Explanation:

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

So then  is rounded up to .

Example Question #4 : Rounding

Round  to the nearest ones' place.

Possible Answers:

Correct answer:

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 #5 : Rounding

Round  to the nearest hundred.

Possible Answers:

Correct answer:

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 #6 : Rounding

What is  rounded to the nearest ten-thousands place?

Possible Answers:

Correct answer:

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:

With this number, an  appears in the ten-thousands place and a  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  or  in that place, we will round down, but if we have a  or , we will round up. Since in this number we have a  in that place, we will round down to . All the places now to the right of the  can be written as s, and our final answer is:

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