Decimals

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.

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.

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.

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.

This NUMBAS exercise lets you practise converting fractions to decimals.

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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.

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.

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

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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.

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.

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

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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.

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.

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