Round to Two Decimal Places

Round to two decimal places is a technique to find the approximate value of a decimal number up to hundredths place. Some of the applications of round to two decimal places in mathematics are to express the approximate value of length, height, weight, the distance between two objects or places, etc.

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 the same 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 round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70. If you observe carefully we have increased the digit of the hundredths place of the first number by 1 and made it 2.84 and not 2.83. But in the second number, we did not add 1 to the hundredths place digit (i.e 0). The reason behind this will be cleared to you if you will learn the rules to round to two decimal places given below.

There are certain rules or steps to be followed to express a decimal number to two decimal places. To round to two decimal places, follow the steps mentioned 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.

Look at the image given below showing the rounding up value of a decimal 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. Round 5.803 to two decimal places.

To do this, let us follow the above steps. The first step is to identify the thousandths place digit which is 3 in this number. Now, since 3<5, we have to keep the digit at the hundredths place unchanged. Therefore, 5.803 ≈ 5.80 (where ≈ is the symbol for approximation).

Use Cuemath's free online round to two decimal places calculator to verify your answers.

Note: When 9 is there 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 have to add 1 to 9, which is 10. So, at the hundredths place, we write 0 and add 1 to the tenths place digit. For example, 3.69806 is round to two decimal places as 3.70.

Round to Two Decimal Places Related Articles

Check these interesting articles related to the concept of round to two decimal places in math.

• Rounding Numbers
• Decimals
• Rounding Decimals Calculator
• Decimal Place Value

What Does it Mean to Round to Two 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.

How to Round to Two Decimal Places?

For rounding a number to two decimal places, follow the steps given below:

• Look at the digit at the thousandths place.
• If it is less than 5, then keep the hundredths place digit unchanged and drop all the remaining digits after that.
• 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.

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.

What Percent of 17 is 21 Round to Two Decimal Places?

Let 21 is x percent of 17. Mathematically, it can be expressed as x = 21/17 × 100. After solving this, the value of x will be 123.529411764... In this number, the digit at the thousandths place is 9, so we will add 1 to the hundredths place digit. Therefore, 21 is 123.53% of 17.