What is the solution of round your answer to the nearest hundredth.

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What is the solution of round your answer to the nearest hundredth.


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What is the solution of round your answer to the nearest hundredth.


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Rounding calculator to round numbers up or down to any decimal place. Choose ones to round a number to the nearest dollar. Choose hundredths to round an amount to the nearest cent.

Rounding Numbers

Say you wanted to round the number 838.274. Depending on which place value you'll round to, the final result will vary. Rounding 838.274:

  • Rounding to the nearest hundred is 800
  • Rounding to the nearest ten is 840
  • Rounding to the nearest one is 838
  • Rounding to the nearest tenth is 838.3
  • Rounding to the nearest hundredth is 838.27

Basic Rules of Rounding

When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:

  • Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
  • Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
  • If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.
  • If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.

Round to the Nearest Hundred: 3250

  • Identify the hundreds digit: the 2 in 3250
  • Identify the next smallest place value: the 5 in 3250
  • Is that digit greater than or equal to five? Yes, so round up.
  • Increase the hundreds digit by one, so 2 becomes 3. Every digit after becomes a zero.

3250 rounded to the nearest hundred is 3300

Round to the Nearest Ten: 323.5

  • Identify the tens digit: the 2 in 323.5
  • Identify the next smallest place value: the 3 in 323.5
  • Is that digit greater than or equal to five? No, so round down.
  • The tens digit stays the same at 2. Every digit after becomes a zero. Digits after the decimal point are dropped.

323.5 rounded to the nearest ten is 320

Round to the Nearest Ten: 499

  • Identify the tens digit: the first 9 in 499
  • Identify the next smallest place value: the second 9 in 499
  • Is that digit greater than or equal to five? Yes, so round up.
  • The tens digit increases by one. Since 9+1=10, you need to carry the 1 and add it to the digit in the hundreds place. Each digit after becomes a zero.

499 rounded to the nearest ten is 500

Round to the Nearest Tenth: 0.74

  • Identify the tenths digit: 7 in 0.74
  • Identify the next smallest place value: the 4 in 0.74
  • Is that digit greater than or equal to five? No, so round down.
  • The tenths digit stays the same at 7. Since the remaining digits are after the decimal point you just drop them.

0.74 rounded to the nearest tenth is 0.7

Round to the Nearest Hundredth: 3.141

  • Identify the hundredths digit: the 4 in 3.141
  • Identify the next smallest place value: the second 1 in 3.141
  • Is that digit greater than or equal to five? No, so round down.
  • The hundredths digit stays the same at 4. Drop the digits to the right of 4.

3.141 rounded to the nearest hundredth is 3.14

To learn how to round a number to the nearest multiple see our Round to Nearest Multiple Calculator. Round to multiples of whole numbers or decimals such as tenths, hundredths, thousandths, etc.

Further Reading

About.com on How to Round Numbers

MathPlayground: How do you Round?

Math.com has several lessons on estimating and rounding.

What is the solution of round your answer to the nearest hundredth.

Have you ever seen the directions, round to the nearest cent?" These directions are actually asking you to round to the nearest hundredth. Remember that the hundredths place is two moves from the right of the decimal point.

What is the solution of round your answer to the nearest hundredth.

To round to the nearest hundredth, we use the thousandths place to determine whether the hundredths place rounds up or stays the same. Here are some examples.

1.) 0.3493

- Underline the hundredths place 0.3493
- Look to the right.  0.3493
If it is 5 or above, we give it a shove. If it is 4 or below, we let it go.

- Round up to 0.35

2.) 15.921978

- Underline the hundredths place 15.921978
- Look to the right.  15.921975 If it is 5 or above, we give it a shove.

If it is 4 or below, we let it go.


- Round to 15.92

3.) 4,812.39812

- Underline the hundredths place4,812.39812
- Look to the right. 4,812.39812
If it is 5 or above, we give it a shove. If it is 4 or below, we let it go.

In this example, it might be helpful to think of it as 39 rounding up to 40 instead of 9 rounding up to 10.

- Round to 4,812.40

Now let's take a look at some real life examples.

4.) A dozen eggs costs $3.25. What is the cost of one egg?

What is the solution of round your answer to the nearest hundredth.
Notice that this answer doesn’t look like money. So we need to round to the nearest penny, or the nearest hundredth.

0.2708333333.....

Notice that 7 is in the hundredths place and there is a 0 to the right. That tells us to keep the 7 the same and drop everything else to the right of it.

Each egg in the package costs about $0.27.

5.) A package of socks cost $8.48 for 6 pairs. What is the cost per pair of socks?

$8.48 ÷ 6 = $1.4133333333..... Again, we have a number that doesn't look like an amount that would show up on a register at the store. So we will round to the nearest penny or the nearest hundredth.

1.41333333333.........

Notice that 1 is in the hundredths place and there is a 3 to the right. So

we will keep the 1 and round to $1.41per pair of socks.

Let's Review:

To round to the nearest cent, nearest penny, or nearest hundredth, you will need to locate the hundredths place. Then look at the digit to the right. If it is 5 or above, the number in the hundredths place will be increased by 1 and all the rest of the numbers after it are dropped. If the number is 4 or below, you leave the digit in the hundredths place alone and drop all the rest of the numbers after. Just remember, if the problem asks you to round to the nearest hundredth, make the end result look like money, meaning only two digits after the decimal point!

Related Links:


Math
Rounding
Rounding with Decimals
Rounding to the Nearest 10th
Rounding to the Nearest Whole
Factors