15. Rounding Numbers example
( Enter your problem )
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1. Example-1
1. Find Round Off 854 at Tens Place
Solution: Write the number 854 in a place value chartHundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | | | | 8 | 5 | 4 |
Round 854 to the nearest Tens Place
| 854 | 1. Locate the Tens Place | 854 | 2. Underline the digit to the right of the Tens Place | 854 | 3. Since 4 < 5, do not change the digit in the Tens Place | 854 (no change in 5) | 4. Replace all digits to the right of the Tens Place with zeros | 850 (replace 4 with zero) |
So 854 rounded to the nearest Tens Place is 850
2. Find Round Off 3978 at Hundreds Place
Solution: Write the number 3,978 in a place value chartHundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | | | 3 | 9 | 7 | 8 |
Round 3,978 to the nearest Hundreds Place
| 3978 | 1. Locate the Hundreds Place | 3978 | 2. Underline the digit to the right of the Hundreds Place | 3978 | 3. Since 7 ≥ 5, round up by adding 1 to the digit in the Hundreds Place | 3978 (add 1 in 9) | 4. Replace all digits to the right of the Hundreds Place with zeros | 4000 (replace 78 with zero) |
So 3,978 rounded to the nearest Hundreds Place is 4,000
3. Find Round Off 32759 at Hundreds Place
Solution: Write the number 32,759 in a place value chartHundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | | 3 | 2 | 7 | 5 | 9 |
Round 32,759 to the nearest Hundreds Place
| 32759 | 1. Locate the Hundreds Place | 32759 | 2. Underline the digit to the right of the Hundreds Place | 32759 | 3. Since 5 ≥ 5, round up by adding 1 to the digit in the Hundreds Place | 32759 (add 1 in 7) | 4. Replace all digits to the right of the Hundreds Place with zeros | 32800 (replace 59 with zero) |
So 32,759 rounded to the nearest Hundreds Place is 32,800
4. Find Round Off 39513 at Thousands Place
Solution: Write the number 39,513 in a place value chartHundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | | 3 | 9 | 5 | 1 | 3 |
Round 39,513 to the nearest Thousands Place
| 39513 | 1. Locate the Thousands Place | 39513 | 2. Underline the digit to the right of the Thousands Place | 39513 | 3. Since 5 ≥ 5, round up by adding 1 to the digit in the Thousands Place | 39513 (add 1 in 9) | 4. Replace all digits to the right of the Thousands Place with zeros | 40000 (replace 513 with zero) |
So 39,513 rounded to the nearest Thousands Place is 40,000
5. Find Round Off 258041 at Thousands Place
Solution: Write the number 258,041 in a place value chartHundred millions | Ten millions | Millions | Hundred thousands | Ten thousands | Thousands | Hundreds | Tens | Ones | | | | 2 | 5 | 8 | 0 | 4 | 1 |
Round 258,041 to the nearest Thousands Place
| 258041 | 1. Locate the Thousands Place | 258041 | 2. Underline the digit to the right of the Thousands Place | 258041 | 3. Since 0 < 5, do not change the digit in the Thousands Place | 258041 (no change in 8) | 4. Replace all digits to the right of the Thousands Place with zeros | 258000 (replace 041 with zero) |
So 258,041 rounded to the nearest Thousands Place is 258,000
6. Find Round Off 27.268 at Hundredths (2 decimal place)
Solution: Write the number 27.268 in a place value chartHundreds | Tens | Ones | Decimal part | Tenths | Hundredths | Thousandths | | 2 | 7 | . | 2 | 6 | 8 |
Round 27.268 to the nearest Hundredths (2 decimal place)
| 27.268 | 1. Locate the Hundredths (2 decimal place) | 27.268 | 2. Underline the digit to the right of the Hundredths (2 decimal place) | 27.268 | 3. Since 8 ≥ 5, round up by adding 1 to the digit in the Hundredths (2 decimal place) | 27.268 (add 1 in 6) | 4. Delete all digits to the right of the Hundredths (2 decimal place) | 27.27 (delete 8) |
So 27.268 rounded to the nearest Hundredths (2 decimal place) is 27.27
7. Find Round Off 27.268 at Tenths (1 decimal place)
Solution: Write the number 27.268 in a place value chartHundreds | Tens | Ones | Decimal part | Tenths | Hundredths | Thousandths | | 2 | 7 | . | 2 | 6 | 8 |
Round 27.268 to the nearest Tenths (1 decimal place)
| 27.268 | 1. Locate the Tenths (1 decimal place) | 27.268 | 2. Underline the digit to the right of the Tenths (1 decimal place) | 27.268 | 3. Since 6 ≥ 5, round up by adding 1 to the digit in the Tenths (1 decimal place) | 27.268 (add 1 in 2) | 4. Delete all digits to the right of the Tenths (1 decimal place) | 27.3 (delete 68) |
So 27.268 rounded to the nearest Tenths (1 decimal place) is 27.3
8. Find Round Off 27.268 at Ones Place
Solution: Write the number 27.268 in a place value chartHundreds | Tens | Ones | Decimal part | Tenths | Hundredths | Thousandths | | 2 | 7 | . | 2 | 6 | 8 |
Round 27.268 to the nearest Ones Place
| 27.268 | 1. Locate the Ones Place | 27.268 | 2. Underline the digit to the right of the Ones Place | 27.268 | 3. Since 2 < 5, do not change the digit in the Ones Place | 27.268 (no change in 7) | 4. Delete all digits to the right of the Ones Place | 27 (delete 268) |
So 27.268 rounded to the nearest Ones Place is 27
This material is intended as a summary. Use your textbook for detail explanation. Any bug, improvement, feedback then
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