Round to Two Decimal Places
Round to two decimal places means to find the approximate value of a decimal number up to hundredths place. There are many uses of rounding a number to two decimal places, for example, for getting the approximate value of length, height, weight, the distance between two objects or places, and so on. Let us learn more about the procedure to round to 2 decimal places.
1. | Round to Two Decimal Places Meaning |
2. | How to Round to Two Decimal Places? |
3. | FAQs on Round to 2 Decimal Places |
Round to Two Decimal Places Meaning
Decimal numbers are often rounded off to make them easier to understand and use in calculations. Rounding a decimal number to two decimal places is also known as rounding it to the hundredths place, which is the second place to the right of the decimal point.
For example, 2.83620364 can be rounded to two decimal places as 2.84. Observe that we increased the digit of the hundredths place by 1 and made it 2.84 and not 2.83.
In another example, 0.7035 can be rounded to two decimal places as 0.70. Here, we did not add 1 to the hundredths place digit (i.e., 0). Let us understand the reason for this in detail in the following section.
How to Round to Two Decimal Places?
There are certain rules or steps to be followed to express a decimal number to two decimal places. To round to two decimal places, we use the steps given below:
- Step 1: Identify the digit at the thousandths place or the third place to the right of the decimal point.
- Step 2: If the thousandths place digit is greater than or equal to 5, the hundredths place digit will be increased by one. And if the thousandths place digit is less than 5, the hundredths place digit will remain unchanged.
- Step 3: Ignore all the remaining digits in the decimal part of the number.
Let us understand this with an example.
Example: Round the decimal number 2.835706 up to two decimal places.
Solution: Observe the figure given below which shows how to round the number, 2.835706, up to two decimal places.
Let us take one more example of round to two decimal places to understand this concept better.
Example: Round 5.803 to two decimal places.
Solution: In order to round 5.803 to two decimal places, we use the following steps:
- Step 1: The first step is to identify the thousandths place digit which is 3 in this number.
- Step 2: Now, since 3 < 5, we will keep the digit at the hundredths place unchanged.
- Step 3: Therefore, 5.803 ≈ 5.80 (where ≈ is the symbol for approximation)
Note: When we have the number, 9, at the hundredths place, then if the thousandths place digit is less than 5, then we can simply write 9 and ignore all the digits after that. But, if the thousandths place digit is 5 or greater than 5, then we need to add 1 to 9, which makes it 10. So, at the hundredths place, we write 0 and add 1 to the tenths place digit. For example, 3.69806 is rounded to two decimal places as 3.70
Two Decimal Places Calculator
Use Cuemath's free online round to two decimal places calculator to verify your answers. This two decimal places calculator can be used to round off numbers up to two decimal places.
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Round to Two Decimal Places Examples
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Example 1: Round 0.9999 to two decimal places.
Solution:
- To round a decimal number to two decimal places, the first step is to identify the thousandths place digit which is 9 in the given number 0.9999.
- Since 9 > 5, we will add 1 to the hundredths place digit. The digit at the hundredths place is 9, so if we add 1 to it we will get 10.
- Again we will add 1 to the tenths place keeping 0 at the hundredths place. The tenths place digit is 9, so 9 + 1 = 10.
- So, again add 1 to the ones place digit keeping 0 at the tenths place. Finally, we get that 0.9999 ≈ 1.00
- Therefore, by using the round to two decimal places rules, we get that 0.9999 ≈ 1.00
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Example 2: What will be the approximate value of 234.973709 up to two decimal places?
Solution: To find the approximate value of a number up to two places after the decimal point, we need to round it to two decimal places. The given number is 234.973709. The digit at the thousandths place is 3. Since 3<5, we will keep the hundredths place digit as it is. Therefore, 234.973709 ≈ 234.97
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Example 3: Round the number 7.755 up to 2 decimal places.
Solution: To round to two decimal places, we need to observe the digit at the thousandths place. The given number is 7.755. Here the thousandths place digit is 5. So, we will add 1 to the hundredths place digit for rounding up the value. After rounding up, the digit at the second decimal place will become 5 + 1 = 6. Therefore, 7.755 ≈ 7.76
FAQs on Round to 2 Decimal Places
How to Round to 2 Decimal Places?
To round to two decimal places means to find the approximate value of a number up to the hundredths place, which is second to the right of the decimal point. It helps us to shorten the number and makes it easy for us to use it in calculations. For example, let us round 3.5482 to two decimal places using the following steps.
- Step 1: Observe the digit at the thousandths place. Here, in 3.5482, the digit at the thousandths place is 8.
- Step 2: If it is less than 5, then keep the hundredths place digit unchanged and drop all the remaining digits after that. But here, 8 is more than 5.
- Step 3: If the thousandths place digit is 5 or greater than 5, then increase the value of the hundredths place digit by 1 and drop all the digits after that. In other words, we add 1 to the hundredths place digit. This will be 4 + 1 = 5 and all the digits after this will be dropped. Therefore, 3.5482, when rounded to 2 decimal places becomes 3.55
What is 1 Over 3 as a Decimal Round to Two Decimal Places?
1 over 3 means 1/3. Its decimal conversion is 0.333333... It is a recurring decimal number. To round a recurring number to two decimal places, we will follow the same procedure. The thousandths place digit is 3, so we will keep the digit at the hundredths place unchanged. Therefore, 1 over 3 as a decimal round to two decimal places is 0.33
What is 1/6 as a Decimal Round to Two Decimal Places?
The decimal expansion of 1/6 is 0.1666666... It is a recurring decimal number. The thousandths place digit is 6, so we will increase the digit at the hundredths place by 1. Therefore, 1/6 as a decimal round to two decimal places is 0.17
What is 2.738 Round to Two Decimal Places?
In the given number 2.738, the digit at the thousandths place is 8, so we will add 1 to the hundredths place digit. So, 3 + 1 = 4. Therefore, the value of 2.738 round to two decimal places is 2.74
How to Round your Answer to 2 Decimal Places?
When we need to round an answer to 2 decimal places, it means that we have to find the approximate value of a number up to the hundredths place, which is second to the right of the decimal point. For example, let us add 3.456 + 2.162 and round the answer to 2 decimal places. After adding the numbers, we get, 3.456 + 2.162 = 5.618. Now, let us round these numbers to 2 decimal places. In 5.618, the digit at the thousandths place is 8, so we will add 1 to the hundredths place digit. So, 1 + 1 = 2. Therefore, the value of 5.618 round to two decimal places is 5.62
How to Round to Three Decimal Places?
In order to round a number to three decimal places, we need to find the approximate value of a number up to the thousandths place, which is third to the right of the decimal point. For example, let us round the number 5.6748 to three decimal places using the following steps.
- Step 1: Observe the digit at the ten-thousandths place. Here, in 5.6748 the digit is 8.
- Step 2: If it is less than 5, then keep the thousandths place digit unchanged and drop all the remaining digits after that. But here, 8 is more than 5.
- Step 3: If the ten-thousandths place digit is 5 or greater than 5, then increase the value of the thousandths place digit by 1 and drop all the digits after that. In other words, add 1 to the thousandths digit. This will be 4 + 1 = 5, and the number is rounded as 5.675. Therefore, 5.6748, when rounded to three decimal places becomes 5.675
How to Round to One Decimal Place?
In order to round a number to one decimal place, we need to find the approximate value of a number up to the tenths place, which is first to the right of the decimal point. For example, let us round the number 15.87 to one decimal place using the following steps.
- Step 1: Observe the digit at the hundredths place. Here, in 15.87 the digit is 7.
- Step 2: If it is less than 5, then keep the tenths place digit unchanged and drop all the remaining digits after that. But here, 7 is more than 5.
- Step 3: If the hundredths place digit is 5 or greater than 5, then increase the value of the tenths place digit by 1 and drop all the digits after that. In other words, add 1 to the tenths digit. This will be 8 + 1 = 9, and the number is rounded as 15.9. Therefore, 15.87, when rounded to one decimal place becomes 15.9
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