# Decimals

### What the Decimal Representation Means

### Video

This video from *Khan Academy* discusses how to interpret numbers written in the decimal representation.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

### Notes

Page **2** of these notes from MathCentre discusses the decimal system for writing numbers and gives some examples of decimal numbers, along with how they are broken down by tens, units, tenths, etc.

A pdf of this document can be downloaded here.

### Converting fractions to decimals and vice versa

### Video

This video from *patrickJMT* shows how to write a fraction as a decimal using long division.

Note: All *patrickJMT* content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

This video from *Khan Academy* shows how to write a terminating decimal as a fraction.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

This video from *Khan Academy* shows how to write a repeating decimal as a fraction.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

### Notes

Page 5 of these notes from MathCentre discusses how to convert a fraction to a decimal and vice versa. There are also some exercises for you to practise with at the top of page 6, with answers at the end of the document.

A pdf of this document can be downloaded here.

### Interactive Exercises

This NUMBAS exercise lets you practise converting fractions to decimals.

Please click here to view this NUMBAS question in another window.

### Accuracy and Decimal Places

### Videos

This video from *patrickJMT* shows you how to round a decimal to a specified accuracy.

Note: All *patrickJMT* content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

### Notes

Pages 6-7 of these notes from MathCentre discuss rounding a decimal to a certain number of decimal places or significant figures. There are also exercises on page 7 with answers at the end of the document.

A pdf of this document can be downloaded here.

### Interactive Exercises

This NUMBAS exercise lets you practise rounding decimals to a given accuracy.

Please click here to view this NUMBAS question in another window.

### Decimal Arithmetic

### Videos

This video from *Khan Academy* shows how to add two decimal numbers and demonstrates the correct way to set up the addition.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

This video from *patrickJMT* shows how to subtract one decimal from another, while also covering another example of addition.

Note: All *patrickJMT* content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

This video from *patrickJMT* covers three different examples of decimal multiplication in order of increasing difficulty.

Note: All *patrickJMT* content is available for free at www.youtube.com/user/patrickJMT.

Patrick JMT’s Website: www.patrickjmt.com.

This video from *Khan Academy* shows how to use long division to divide a decimal by a whole number.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

This video from *Khan Academy* gives a useful trick to make division of one decimal by another easier, then uses long division to compute the result.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

### Notes

These notes from MathCentre introduce the idea of decimal fractions and show how to write any fraction as a decimal. There are some exercises with answers given so you can check your work.

A pdf of this document can be downloaded here.

### Interactive Exercises

These exercises from NUMBAS let you practise what you’ve learned about the arithmetic of decimals.

Please click here to view this NUMBAS question in another window.

Please click here to view this NUMBAS question in another window.

Please click here to view this NUMBAS question in another window.

Please click here to view this NUMBAS question in another window.

Please click here to view this NUMBAS question in another window.

### Comparing/Ordering Decimals

### Videos

This video from *Khan Academy* shows how to compare two decimals to determine which number is larger.

Note: All *Khan Academy* content is available for free at www.khanacademy.org.

### Interactive Exercises

This exercise from NUMBAS asks you to examine two decimals and determine whether one is greater or less than the other, or whether the two are equal.

Please click here to view this NUMBAS question in another window.