Multiplying & Dividing by 10, 100 & 1,000

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

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

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

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

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

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

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

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.

Illustrative background for 7,542 &div; 10 = 754.2

Illustrative background for 7,542 &div; 10 = 754.2 ?? "content

7,542 ÷ 10 = 754.2

When you divide by 10, all digits move one column to the right.
- Don’t forget your decimal place!

Illustrative background for 7,542 &div; 100 = 75.42

Illustrative background for 7,542 &div; 100 = 75.42 ?? "content

7,542 ÷ 100 = 75.42

When you divide by 100, all digits move two columns to the right.
- Don’t forget your decimal place!

Illustrative background for 7,542 &div; 1,000 = 7.542

Illustrative background for 7,542 &div; 1,000 = 7.542 ?? "content

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!

1Year 5 - Number

1.1Number & Place Value

1.1.1The Value of Digits to Millions

1.1.2Smallest & Biggest Numbers to Millions

1.1.3Ordering Numbers to Millions

1.1.4Counting in Powers of 10

1.1.5Counting in Negative Numbers

1.1.6Rounding Numbers up to 1,000,000

1.1.7Reading Roman Numerals

1.2Addition & Subtraction

1.2.1Written Methods for Adding Large Numbers

1.2.2Written Methods for Subtracting Large Numbers

1.2.3Mental Addition & Subtraction

1.2.4Rounding to Check Your Answer

1.3Multiplication & Division

1.3.1Multiples

1.3.2Factors

1.3.3Prime Numbers

1.3.4Prime Factors

1.3.5Composite Numbers

1.3.6Factor Trees

1.3.7Multiplication by a 1 Digit Number

1.3.8Long Multiplication Using Column Method

1.3.9Times Tables

1.3.10Division

1.3.11Multiplying & Dividing by 10, 100 & 1,000

1.3.12Square & Cube Numbers

1.4Fractions & Decimals

1.4.1Compare & Order Fractions

1.4.2Identifying Equivalent Fractions

1.4.3Add & Subtract Fractions

1.4.4Mixed Numbers & Improper Fractions

1.4.5Multiplying Fractions by Whole Numbers

1.4.6Converting Between Decimals & Fractions

1.4.7Rounding Decimals

1.4.8Ordering Decimals

2Year 5 - Measurement

2.1Measures

2.1.1Metric Measurements

2.1.2Imperial Measurements

2.2Perimeter & Area

2.2.1Perimeter

2.2.2Area

2.3Time

2.3.1Units of Time

3Year 5 - Geometry

3.1Properties of 3D Shapes

3.1.1Types of 3D Shapes

3.1.2Faces, Edges & Vertices

3.2Properties of 2D Shapes

3.2.1Polygons

3.3Angles

3.3.1Angles in Degrees

3.3.2Types of Angle

3.3.3Finding Missing Angles

3.4Position & Direction

3.4.1Reflection & Translation

4Year 5 - Statistics

4.1Graphs

4.1.1Line Graphs

4.1.2Tables

4.1.3Timetables

5Year 6 - Number

5.1Number & Place Value

5.1.1The Value of Digits to Ten Millions

5.1.2Ordering Numbers to Millions

5.1.3Rounding

5.1.4Negative Numbers

5.2Multiplication & Division

5.2.1Multiplication by a 2 Digit Number

5.2.2Division

5.2.3Multiples

5.2.4Factors

5.2.5Primes

5.3Mental Maths

5.3.1Multiplying & Dividing by 10, 100 & 1,000

5.3.2Addition & Subtraction

5.3.3Adding & Subtracting 10, 100 & 1,000

5.3.4Multiplication & Division

5.4Order of Operations

5.4.1BIDMAS

5.5Problem Solving

5.5.1Addition & Subtraction Multi-step Problems

5.5.2Problem Solving with Proportion

5.6Fractions & Decimals

5.6.1Simplifying Fractions Using Equivalents

5.6.2Ordering Different Types of Fraction

5.6.3Adding & Subtracting Fractions

5.6.4Adding & Subtracting Mixed Numbers

5.6.5Multiplying Fractions

5.6.6Dividing Fractions by Whole Numbers

5.6.7Converting Between Decimals & Fractions

5.6.8Dividing Decimals

6Year 6 - Ratio & Proportion

6.1Ratio

6.1.1Using Ratios

6.1.2Simplifying Ratios

6.2Percentages

6.2.1Calculating Percentages

6.3Scale

6.3.1Scale of 2D Shapes

7Year 6 - Algebra

7.1Sequences

7.1.1Describing Sequences

7.1.2Finding Gaps in Sequences

7.2Missing Number Problems

7.2.1Missing Number Problems

7.3Equations

7.3.1Balancing Equations

7.3.2Combining Two Variables

8Year 6 - Measurement

8.1Problem Solving

8.1.1Problem Solving with Measures

8.2Unit Conversion

8.2.1Conversion Between Miles & Kilometres

8.3Perimeter, Area & Volume

8.3.1Area

8.3.2Volume

8.3.3Nets

8.3.4Faces, Edges & Vertices

8.4Angles

8.4.1Types of Angle

8.4.2Finding Missing Angles

8.4.3Finding Missing Angles in Triangles

8.4.4Vertically Opposite Angles

8.5Circles

8.5.1Parts of a Circle

8.6Coordinate Grids

8.6.1Positions on Coordinate Grids

8.6.2Reflection & Translation

9Year 6 - Statistics

9.1Displaying Data

9.1.1Pie Charts

9.1.2Line Graphs

9.2Averages

9.2.1Mean

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