5.1.3
Rounding
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Rounding
Rounding is the process of making a number more simple. Rounding is when you use a place value column to "round off" a number. We can use rounding to help us estimate!
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864,721
- We need to look at the place value in order to help us round.
864,721
- If we were to round to the nearest 10, we need to look at the column to the right of the 'tens' column to work out how you will be rounding.
- The column to the right of the 'tens' column is the 'ones' column.
How many 'ones' in 864,721?
- We have 2 'tens' and 1 'ones'.
- If the digit in the 'ones' is 5 or above then we round the 'tens' up.
- If the digit in the 'ones' is 4 or below then we round the 'tens' down.
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Rounding the number
- There is 1 in the 'ones' column.
- 1 is below 4 so you need to round down.
- We must round our 'tens' column down to 864,720.
Remember!
- If we rounded up, the digit in the 'tens' column would change.
- But we rounded down and this means that the digit in the 'tens' column stays the same.
- Our 2 'tens' did NOT go down to 1 'ten'.
- Our 2 'tens' rounded down and stayed at 2 'tens'.
Rounding Decimals
You can round numbers to a certain number of decimal places.
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3.36
- We can round 3.36 to either 1 decimal place or to the nearest whole number.
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Rounding to 1 decimal place
- To round to 1 decimal place (1dp), we need to look at our hundredths column.
- We need to look at the hundredths column because it is the column to the right of our 1st decimal place.
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5 or above
- There are 6 hundredths in 0.36.
- We know that we need to round the digit up if it is 5 or above.
- So, 3.36 rounded to 1 decimal place is 3.4.
1Year 5 - Number
1.1Number & Place Value
1.2Addition & Subtraction
1.3Multiplication & Division
2Year 5 - Measurement
2.2Perimeter & Area
2.3Time
3Year 5 - Geometry
3.1Properties of 3D Shapes
3.2Properties of 2D Shapes
3.4Position & Direction
4Year 5 - Statistics
5Year 6 - Number
5.1Number & Place Value
5.2Multiplication & Division
5.3Mental Maths
5.4Order of Operations
5.5Problem Solving
5.6Fractions & Decimals
6Year 6 - Ratio & Proportion
6.2Percentages
6.3Scale
7Year 6 - Algebra
7.2Missing Number Problems
8Year 6 - Measurement
8.1Problem Solving
8.2Unit Conversion
8.3Perimeter, Area & Volume
8.4Angles
8.5Circles
8.6Coordinate Grids
9Year 6 - Statistics
9.1Displaying Data
9.2Averages
Jump to other topics
1Year 5 - Number
1.1Number & Place Value
1.2Addition & Subtraction
1.3Multiplication & Division
2Year 5 - Measurement
2.2Perimeter & Area
2.3Time
3Year 5 - Geometry
3.1Properties of 3D Shapes
3.2Properties of 2D Shapes
3.4Position & Direction
4Year 5 - Statistics
5Year 6 - Number
5.1Number & Place Value
5.2Multiplication & Division
5.3Mental Maths
5.4Order of Operations
5.5Problem Solving
5.6Fractions & Decimals
6Year 6 - Ratio & Proportion
6.2Percentages
6.3Scale
7Year 6 - Algebra
7.2Missing Number Problems
8Year 6 - Measurement
8.1Problem Solving
8.2Unit Conversion
8.3Perimeter, Area & Volume
8.4Angles
8.5Circles
8.6Coordinate Grids
9Year 6 - Statistics
9.1Displaying Data
9.2Averages
Practice questions on Rounding
Can you answer these? Test yourself with free interactive practice on Seneca — used by over 10 million students.
- 1What is 495 rounded to the nearest 10?Multiple choice
- 2What is 52,425 rounded to the nearest 10?Multiple choice
- 3What is 1,456,156 rounded to the nearest 10?Multiple choice
- 4What is 0.63 rounded to 1 decimal place?Multiple choice
- 5What is 0.47 rounded to 1 decimal place?Multiple choice
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