1.1.6

Rounding Numbers up to 1,000,000

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Rounding

Rounding is the process of making a number more simple. Rounding is when you find a ‘rounded off’ number in a place value column. We can use rounding to help us estimate!

864,721

864,721

  • We need to look at the place value in order to help us round.
864,721

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?

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.
Rounding the number

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!

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'.

Using Place Holders in Rounding

After we round, we need to use 'place holders'. 'Place holders' are zeros that fill the gaps in our place value grid.

42,642 to the nearest 1,000

42,642 to the nearest 1,000

  • We need to look at the column to the right of the 'thousands' column to work out how we will be rounding.
  • The column to the right of the 'thousands' column is the 'hundreds' column.
There are 6 'hundreds' in 42,642

There are 6 'hundreds' in 42,642

  • We have 2 'thousands' and 6 'hundreds'.
    • If the digit in the 'hundreds' is 5 or above then we round the 'thousands' up.
    • If the digit in the 'hundreds' is 4 or below then we round the 'thousands' down.
How many 'hundreds' in 42,642?

How many 'hundreds' in 42,642?

  • There is 6 in the 'hundreds' column.
  • 6 is above 5 so we need to round up.
    • We must round our 'thousands' column up from 2 to 3.
    • We then put in our 'place holders', which are the zeros seen here in our place value grid.
Remember!

Remember!

  • If we round up, the digit in the 'thousands' column would change.
  • When we round down, the digit in the 'thousands' column stays the same.
Jump to other topics
1

Year 5 - Number

1.1

Number & Place Value

1.1.1The Value of Digits to Millions1.1.2Smallest & Biggest Numbers to Millions1.1.3Ordering Numbers to Millions1.1.4Counting in Powers of 101.1.5Counting in Negative Numbers1.1.6Rounding Numbers up to 1,000,0001.1.7Reading Roman Numerals
1.2

Addition & Subtraction

1.2.1Written Methods for Adding Large Numbers1.2.2Written Methods for Subtracting Large Numbers1.2.3Mental Addition & Subtraction1.2.4Rounding to Check Your Answer
1.3

Multiplication & Division

1.3.1Multiples1.3.2Factors1.3.3Prime Numbers1.3.4Prime Factors1.3.5Composite Numbers1.3.6Factor Trees1.3.7Multiplication by a 1 Digit Number1.3.8Long Multiplication Using Column Method1.3.9Times Tables1.3.10Division1.3.11Multiplying & Dividing by 10, 100 & 1,0001.3.12Square & Cube Numbers
1.4

Fractions & Decimals

1.4.1Compare & Order Fractions1.4.2Identifying Equivalent Fractions1.4.3Add & Subtract Fractions1.4.4Mixed Numbers & Improper Fractions1.4.5Multiplying Fractions by Whole Numbers1.4.6Converting Between Decimals & Fractions1.4.7Rounding Decimals1.4.8Ordering Decimals
2

Year 5 - Measurement

2.1

Measures

2.1.1Metric Measurements2.1.2Imperial Measurements
2.2

Perimeter & Area

2.2.1Perimeter2.2.2Area
2.3

Time

2.3.1Units of Time
3

Year 5 - Geometry

3.1

Properties of 3D Shapes

3.1.1Types of 3D Shapes3.1.2Faces, Edges & Vertices
3.2

Properties of 2D Shapes

3.2.1Polygons
3.3

Angles

3.3.1Angles in Degrees3.3.2Types of Angle3.3.3Finding Missing Angles
3.4

Position & Direction

3.4.1Reflection & Translation
4

Year 5 - Statistics

4.1

Graphs

4.1.1Line Graphs4.1.2Tables4.1.3Timetables
5

Year 6 - Number

5.1

Number & Place Value

5.1.1The Value of Digits to Ten Millions5.1.2Ordering Numbers to Millions5.1.3Rounding5.1.4Negative Numbers
5.2

Multiplication & Division

5.2.1Multiplication by a 2 Digit Number5.2.2Division5.2.3Multiples5.2.4Factors5.2.5Primes
5.3

Mental Maths

5.3.1Multiplying & Dividing by 10, 100 & 1,0005.3.2Addition & Subtraction5.3.3Adding & Subtracting 10, 100 & 1,0005.3.4Multiplication & Division
5.4

Order of Operations

5.4.1BIDMAS
5.5

Problem Solving

5.5.1Addition & Subtraction Multi-step Problems5.5.2Problem Solving with Proportion
5.6

Fractions & Decimals

5.6.1Simplifying Fractions Using Equivalents5.6.2Ordering Different Types of Fraction5.6.3Adding & Subtracting Fractions5.6.4Adding & Subtracting Mixed Numbers5.6.5Multiplying Fractions5.6.6Dividing Fractions by Whole Numbers5.6.7Converting Between Decimals & Fractions5.6.8Dividing Decimals
6

Year 6 - Ratio & Proportion

6.1

Ratio

6.1.1Using Ratios6.1.2Simplifying Ratios
6.2

Percentages

6.2.1Calculating Percentages
6.3

Scale

6.3.1Scale of 2D Shapes
7

Year 6 - Algebra

7.1

Sequences

7.1.1Describing Sequences7.1.2Finding Gaps in Sequences
7.2

Missing Number Problems

7.2.1Missing Number Problems
7.3

Equations

7.3.1Balancing Equations7.3.2Combining Two Variables
8

Year 6 - Measurement

8.1

Problem Solving

8.1.1Problem Solving with Measures
8.2

Unit Conversion

8.2.1Conversion Between Miles & Kilometres
8.3

Perimeter, Area & Volume

8.3.1Area8.3.2Volume8.3.3Nets8.3.4Faces, Edges & Vertices
8.4

Angles

8.4.1Types of Angle8.4.2Finding Missing Angles8.4.3Finding Missing Angles in Triangles8.4.4Vertically Opposite Angles
8.5

Circles

8.5.1Parts of a Circle
8.6

Coordinate Grids

8.6.1Positions on Coordinate Grids8.6.2Reflection & Translation
9

Year 6 - Statistics

9.1

Displaying Data

9.1.1Pie Charts9.1.2Line Graphs
9.2

Averages

9.2.1Mean

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Counting in Negative Numbers

Reading Roman Numerals