1.3.11

Multiplying & Dividing by 10, 100 & 1,000

Test yourself on Multiplying & Dividing by 10, 100 & 1,000

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Multiplying by 10, 100 and 1,000

When multiplying by 10, 100 and 1,000, you need to consider your place value. Let's have a look at how I would multiply by 10, 100 and 1,000.

Multiply by 10, 100 and 1,000

Multiply by 10, 100 and 1,000

  • I want to multiply 7,542 by 10, 100 and 1,000.
    • Start by putting 7,542 into a place value grid.
Digits move left

Digits move left

  • When multiplying by 10, 100 and 1,000, each digit moves to the left.
    • The digits move to the left because the number will be getting bigger when you multiply by 10, 100 or 1,000.
7,542 × 10 = 75,420

7,542 × 10 = 75,420

  • When you multiply by 10, all digits move one column to the left.
    • The 'ones' column is filled with a 0.
7,542 × 100 = 754,200

7,542 × 100 = 754,200

  • When you multiply by 100, all digits move two columns to the left.
    • The 'ones' and 'tens' columns are filled with 0s.
7,542 × 1,000 = 7,542,000

7,542 × 1,000 = 7,542,000

  • When you multiply by 1,000, all digits move three columns to the left.
    • The 'ones', 'tens' and 'hundreds' columns are filled with 0s.

Dividing by 10, 100 and 1,000

When dividing by 10, 100 and 1,000, you need to consider our place value. Let's have a look at how I would divide by 10, 100 and 1,000.

Divide by 10, 100 and 1,000

Divide by 10, 100 and 1,000

  • I want to divide 7,542 by 10, 100 and 1,000.
    • Start by putting 7,542 into a place value grid.
Digits move right

Digits move right

  • When dividing by 10, 100 and 1,000, each digit moves to the right.
    • The digits move to the right because the number will be getting smaller when you divide by 10, 100 or 1,000.
7,542 ÷ 10 = 754.2

7,542 ÷ 10 = 754.2

  • When you divide by 10, all digits move one column to the right.
    • Don’t forget your decimal place!
7,542 ÷ 100 = 75.42

7,542 ÷ 100 = 75.42

  • When you divide by 100, all digits move two columns to the right.
    • Don’t forget your decimal place!
7,542 ÷ 1,000 = 7.542

7,542 ÷ 1,000 = 7.542

  • When you divide by 1,000, all digits move three columns to the right.
    • Don’t forget your decimal place!
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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Division

Square & Cube Numbers