Slideshow 3 Mr Richard Sasaki Room 307 Moduli. Vocabulary Check Vocabulary Check Understanding the meaning of modulus Understanding the meaning of modulus.

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Presentation transcript:

Slideshow 3 Mr Richard Sasaki Room 307 Moduli

Vocabulary Check Vocabulary Check Understanding the meaning of modulus Understanding the meaning of modulus Calculating moduli (moduli is the plural of modulus) Calculating moduli (moduli is the plural of modulus) Objectives Please complete the vocabulary check. You have four minutes. Good luck!

Answers

We saw this on a worksheet before but didn’t explain it properly. Natural Numbers are within the sequence… Natural Numbers So decimals, fractions and negative integers are not natural numbers. Note: Is 0 a natural number? This is again, disputed. Some people think it is, some don’t!

Larger or more? Which is larger, 2 or -9? -9 2 In this instance, larger is not a good word to use. -9 is further away from 0 (the neutral number) so it appears that -9 may be larger. It has more weight (or size) than 2, just its weight is in the opposite direction.

Moduli -9 2 It’s “size” or “weight” is known as its modulus. A number’s modulus is its distance from zero. 2 9 Note: Modulus is also known as “absolute value”. Moduli (plural of modulus) are measurements, not regular numbers. Calculating them is easy!

Examples Find the modulus of each of the following… 4 is a distance of 4 away from 0 so its modulus is 4. How can we write this mathematically? The “modulus of 4” is written as…. So in other words…, and. Please try the first worksheet!

Answers - Easy No. For example…

Answers – Hard (Q1 – 2)

Answers – Hard (Q3 – 9) Yes, they are always the same.