Source: https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-1-multiplying-and-dividing-by-10-100-and-1000

[Revision notes](https://senecalearning.com/en-gb/revision-notes.md) › [Primary](https://senecalearning.com/en-gb/revision-notes/primary.md) › [Maths](https://senecalearning.com/en-gb/revision-notes/primary/maths.md) › [Maths: Year 5 & 6 National Curriculum](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum.md) › Multiplying & Dividing by 10, 100 & 1,000

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

Maths: Year 5 & 6 National Curriculum, topic 5.3.1

## Multiplying by 10, 100, and 1,000 in your Head

You know that when you multiply something by 10, 100 or 1000 that the place value of the numbers will increase by 10, 100 or 1,000 times and become larger.

### Multiply by 1,000

![Multiply by 1,000](https://image-v2.cdn.app.senecalearning.com/2019-08/8148bbc7-71d8-4c90-8f62-b929e2da219e/Slides%20(32).png)

- 45 × 1,000 = 45,000 
 - Each digit in the number will increase 1,000 times.

### Multiply by 10

![Multiply by 10](https://image-v2.cdn.app.senecalearning.com/2019-08/babc0f72-b31b-41da-b6bc-fe566e81e9fb/Slides%20(33).png)

- 5.3 × 10 = 53
 - Each digit in the number will increase 10 times.

## Dividing by 10, 100, and 1,000 in your Head

You know that when you divide something by 10, 100 or 1000 that the place value of the numbers will decrease by 10, 100 or 1,000 times and become smaller.

### Divide by 10

![Divide by 10](https://image-v2.cdn.app.senecalearning.com/2019-08/c21228b2-5f2d-4fbc-a09e-350d5ad40aaf/Slides%20(34).png)

- 5.6 ÷ 10 = 0.56
 - Each digit in the number will decrease 10 times.

### Divide by 100

![Divide by 100](https://image-v2.cdn.app.senecalearning.com/2019-08/2a42562f-7c3b-4a1d-b4b2-4ea7c78e564c/Slides%20(35).png)

- 4,384 ÷ 100 = 43.84
 - Each digit in the number will decrease 100 times.

### No written calculations!

![No written calculations!](https://image-v2.cdn.app.senecalearning.com/2018-08/517f300c-e208-4473-bce1-c646457752fe/man-thinking-forget.jpg)

- You should be able to do these calculations without any written calculations to help you in year 6!

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

- What is 53.6 × 100?
- What is 94.23 × 1,000?
- What is 87.1 × 100?
- What is 523 ÷ 100?
- What is 842.8 ÷ 1,000?

[Practise this topic for free](https://app.senecalearning.com/classroom/course/cc410aae-4be5-4c7a-9492-ee552574ade2/section/0d6c3735-2eea-42b7-b3e1-cf8ad583f040/session)

- Previous topic: [5.2.5 Primes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-5-primes.md)
- Next topic: [5.3.2 Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-2-addition-and-subtraction.md)

## Maths: Year 5 & 6 National Curriculum contents

### 1 Year 5 - Number
- 1.1 Number & Place Value
  - [1.1.1 The Value of Digits to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-1-the-value-of-digits-to-millions.md)
  - [1.1.2 Smallest & Biggest Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-2-smallest-and-biggest-numbers-to-millions.md)
  - [1.1.3 Ordering Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-3-ordering-numbers-to-millions.md)
  - [1.1.4 Counting in Powers of 10](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-4-counting-in-powers-of-10.md)
  - [1.1.5 Counting in Negative Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-5-counting-in-negative-numbers.md)
  - [1.1.6 Rounding Numbers up to 1,000,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-6-rounding-numbers-up-to-1000000.md)
  - [1.1.7 Reading Roman Numerals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-1-7-reading-roman-numerals.md)
- 1.2 Addition & Subtraction
  - [1.2.1 Written Methods for Adding Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-1-written-methods-for-adding-large-numbers.md)
  - [1.2.2 Written Methods for Subtracting Large Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-2-written-methods-for-subtracting-large-numbers.md)
  - [1.2.3 Mental Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-3-mental-addition-and-subtraction.md)
  - [1.2.4 Rounding to Check Your Answer](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-2-4-rounding-to-check-your-answer.md)
- 1.3 Multiplication & Division
  - [1.3.1 Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-1-multiples.md)
  - [1.3.2 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-2-factors.md)
  - [1.3.3 Prime Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-3-prime-numbers.md)
  - [1.3.4 Prime Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-4-prime-factors.md)
  - [1.3.5 Composite Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-5-composite-numbers.md)
  - [1.3.6 Factor Trees](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-6-factor-trees.md)
  - [1.3.7 Multiplication by a 1 Digit Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-7-multiplication-by-a-1-digit-number.md)
  - [1.3.8 Long Multiplication Using Column Method](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-8-long-multiplication-using-column-method.md)
  - [1.3.9 Times Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-9-times-tables.md)
  - [1.3.10 Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-10-division.md)
  - [1.3.11 Multiplying & Dividing by 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-11-multiplying-and-dividing-by-10-100-and-1000.md)
  - [1.3.12 Square & Cube Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-3-12-square-and-cube-numbers.md)
- 1.4 Fractions & Decimals
  - [1.4.1 Compare & Order Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-1-compare-and-order-fractions.md)
  - [1.4.2 Identifying Equivalent Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-2-identifying-equivalent-fractions.md)
  - [1.4.3 Add & Subtract Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-3-add-and-subtract-fractions.md)
  - [1.4.4 Mixed Numbers & Improper Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-4-mixed-numbers-and-improper-fractions.md)
  - [1.4.5 Multiplying Fractions by Whole Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-5-multiplying-fractions-by-whole-numbers.md)
  - [1.4.6 Converting Between Decimals & Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-6-converting-between-decimals-and-fractions.md)
  - [1.4.7 Rounding Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-7-rounding-decimals.md)
  - [1.4.8 Ordering Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/1-4-8-ordering-decimals.md)

### 2 Year 5 - Measurement
- 2.1 Measures
  - [2.1.1 Metric Measurements](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-1-1-metric-measurements.md)
  - [2.1.2 Imperial Measurements](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-1-2-imperial-measurements.md)
- 2.2 Perimeter & Area
  - [2.2.1 Perimeter](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-2-1-perimeter.md)
  - [2.2.2 Area](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-2-2-area.md)
- 2.3 Time
  - [2.3.1 Units of Time](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/2-3-1-units-of-time.md)

### 3 Year 5 - Geometry
- 3.1 Properties of 3D Shapes
  - [3.1.1 Types of 3D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-1-1-types-of-3d-shapes.md)
  - [3.1.2 Faces, Edges & Vertices](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-1-2-faces-edges-and-vertices.md)
- 3.2 Properties of 2D Shapes
  - [3.2.1 Polygons](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-2-1-polygons.md)
- 3.3 Angles
  - [3.3.1 Angles in Degrees](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-1-angles-in-degrees.md)
  - [3.3.2 Types of Angle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-2-types-of-angle.md)
  - [3.3.3 Finding Missing Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-3-3-finding-missing-angles.md)
- 3.4 Position & Direction
  - [3.4.1 Reflection & Translation](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/3-4-1-reflection-and-translation.md)

### 4 Year 5 - Statistics
- 4.1 Graphs
  - [4.1.1 Line Graphs](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-1-line-graphs.md)
  - [4.1.2 Tables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-2-tables.md)
  - [4.1.3 Timetables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/4-1-3-timetables.md)

### 5 Year 6 - Number
- 5.1 Number & Place Value
  - [5.1.1 The Value of Digits to Ten Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-1-the-value-of-digits-to-ten-millions.md)
  - [5.1.2 Ordering Numbers to Millions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-2-ordering-numbers-to-millions.md)
  - [5.1.3 Rounding](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-3-rounding.md)
  - [5.1.4 Negative Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-1-4-negative-numbers.md)
- 5.2 Multiplication & Division
  - [5.2.1 Multiplication by a 2 Digit Number](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-1-multiplication-by-a-2-digit-number.md)
  - [5.2.2 Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-2-division.md)
  - [5.2.3 Multiples](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-3-multiples.md)
  - [5.2.4 Factors](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-4-factors.md)
  - [5.2.5 Primes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-2-5-primes.md)
- 5.3 Mental Maths
  - [5.3.1 Multiplying & Dividing by 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-1-multiplying-and-dividing-by-10-100-and-1000.md)
  - [5.3.2 Addition & Subtraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-2-addition-and-subtraction.md)
  - [5.3.3 Adding & Subtracting 10, 100 & 1,000](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-3-adding-and-subtracting-10-100-and-1000.md)
  - [5.3.4 Multiplication & Division](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-3-4-multiplication-and-division.md)
- 5.4 Order of Operations
  - [5.4.1 BIDMAS](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-4-1-bidmas.md)
- 5.5 Problem Solving
  - [5.5.1 Addition & Subtraction Multi-step Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-5-1-addition-and-subtraction-multi-step-problems.md)
  - [5.5.2 Problem Solving with Proportion](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-5-2-problem-solving-with-proportion.md)
- 5.6 Fractions & Decimals
  - [5.6.1 Simplifying Fractions Using Equivalents](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-1-simplifying-fractions-using-equivalents.md)
  - [5.6.2 Ordering Different Types of Fraction](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-2-ordering-different-types-of-fraction.md)
  - [5.6.3 Adding & Subtracting Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-3-adding-and-subtracting-fractions.md)
  - [5.6.4 Adding & Subtracting Mixed Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-4-adding-and-subtracting-mixed-numbers.md)
  - [5.6.5 Multiplying Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-5-multiplying-fractions.md)
  - [5.6.6 Dividing Fractions by Whole Numbers](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-6-dividing-fractions-by-whole-numbers.md)
  - [5.6.7 Converting Between Decimals & Fractions](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-7-converting-between-decimals-and-fractions.md)
  - [5.6.8 Dividing Decimals](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/5-6-8-dividing-decimals.md)

### 6 Year 6 - Ratio & Proportion
- 6.1 Ratio
  - [6.1.1 Using Ratios](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-1-1-using-ratios.md)
  - [6.1.2 Simplifying Ratios](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-1-2-simplifying-ratios.md)
- 6.2 Percentages
  - [6.2.1 Calculating Percentages](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-2-1-calculating-percentages.md)
- 6.3 Scale
  - [6.3.1 Scale of 2D Shapes](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/6-3-1-scale-of-2d-shapes.md)

### 7 Year 6 - Algebra
- 7.1 Sequences
  - [7.1.1 Describing Sequences](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-1-1-describing-sequences.md)
  - [7.1.2 Finding Gaps in Sequences](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-1-2-finding-gaps-in-sequences.md)
- 7.2 Missing Number Problems
  - [7.2.1 Missing Number Problems](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-2-1-missing-number-problems.md)
- 7.3 Equations
  - [7.3.1 Balancing Equations](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-3-1-balancing-equations.md)
  - [7.3.2 Combining Two Variables](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/7-3-2-combining-two-variables.md)

### 8 Year 6 - Measurement
- 8.1 Problem Solving
  - [8.1.1 Problem Solving with Measures](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-1-1-problem-solving-with-measures.md)
- 8.2 Unit Conversion
  - [8.2.1 Conversion Between Miles & Kilometres](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-2-1-conversion-between-miles-and-kilometres.md)
- 8.3 Perimeter, Area & Volume
  - [8.3.1 Area](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-1-area.md)
  - [8.3.2 Volume](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-2-volume.md)
  - [8.3.3 Nets](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-3-nets.md)
  - [8.3.4 Faces, Edges & Vertices](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-3-4-faces-edges-and-vertices.md)
- 8.4 Angles
  - [8.4.1 Types of Angle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-1-types-of-angle.md)
  - [8.4.2 Finding Missing Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-2-finding-missing-angles.md)
  - [8.4.3 Finding Missing Angles in Triangles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-3-finding-missing-angles-in-triangles.md)
  - [8.4.4 Vertically Opposite Angles](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-4-4-vertically-opposite-angles.md)
- 8.5 Circles
  - [8.5.1 Parts of a Circle](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-5-1-parts-of-a-circle.md)
- 8.6 Coordinate Grids
  - [8.6.1 Positions on Coordinate Grids](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-6-1-positions-on-coordinate-grids.md)
  - [8.6.2 Reflection & Translation](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/8-6-2-reflection-and-translation.md)

### 9 Year 6 - Statistics
- 9.1 Displaying Data
  - [9.1.1 Pie Charts](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-1-1-pie-charts.md)
  - [9.1.2 Line Graphs](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-1-2-line-graphs.md)
- 9.2 Averages
  - [9.2.1 Mean](https://senecalearning.com/en-gb/revision-notes/primary/maths/maths-year-5-and-6-national-curriculum/9-2-1-mean.md)