Uploaded by aahilirfan2011

Rounding Off (up to 3 decimal places)

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General Guidelines:
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Rounding Up: If the digit to the right of your rounding place is 5 or higher, you round
up.
Rounding Down: If the digit to the right of your rounding place is less than 5, you
round down (leave the digit unchanged).
Dropping Digits: After rounding, all digits to the right of the rounding place are
dropped.
1. Rounding to the Nearest Whole Number (Integer)
Steps:
1. Identify the digit in the tenths place (the first digit to the right of the decimal point).
2. If the digit in the tenths place is 5 or greater, round the number up by adding 1 to the
digit in the ones place.
3. If the digit in the tenths place is less than 5, round the number down by leaving the
digit in the ones place unchanged.
4. Drop all digits to the right of the decimal point.
Example 1: 7.46
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Tenths digit: 4 (less than 5)
Rounded to the nearest whole number: 7
Example 2: 3.85
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Tenths digit: 8 (5 or greater)
Rounded to the nearest whole number: 4
2. Rounding to One Decimal Place (Nearest Tenth)
Steps:
1. Identify the digit in the hundredths place (the second digit to the right of the decimal
point).
2. If the digit in the hundredths place is 5 or greater, round the number up by adding 1
to the digit in the tenths place.
3. If the digit in the hundredths place is less than 5, leave the tenths digit unchanged.
4. Drop all digits after the tenths place.
Example 1: 12.347
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Hundredths digit: 4 (less than 5)
Rounded to one decimal place: 12.3
Example 2: 9.768
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Hundredths digit: 6 (5 or greater)
Rounded to one decimal place: 9.8
3. Rounding to Two Decimal Places (Nearest Hundredth)
Steps:
1. Identify the digit in the thousandths place (the third digit to the right of the decimal
point).
2. If the digit in the thousandths place is 5 or greater, round the number up by adding 1
to the digit in the hundredths place.
3. If the digit in the thousandths place is less than 5, leave the hundredths digit
unchanged.
4. Drop all digits after the hundredths place.
Example 1: 5.6789
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Thousandths digit: 8 (5 or greater)
Rounded to two decimal places: 5.68
Example 2: 2.834
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Thousandths digit: 4 (less than 5)
Rounded to two decimal places: 2.83
4. Rounding to Three Decimal Places (Nearest Thousandth)
Steps:
1. Identify the digit in the ten-thousandths place (the fourth digit to the right of the
decimal point).
2. If the digit in the ten-thousandths place is 5 or greater, round the number up by
adding 1 to the digit in the thousandths place.
3. If the digit in the ten-thousandths place is less than 5, leave the thousandths digit
unchanged.
4. Drop all digits after the thousandths place.
Example 1: 3.14159
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Ten-thousandths digit: 5 (5 or greater)
Rounded to three decimal places: 3.142
Example 2: 7.4562
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Ten-thousandths digit: 2 (less than 5)
Rounded to three decimal places: 7.456
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