If you"re teaching math come students that are all set to learn around absolute value, typically roughly Grade 6, here"s review of the topic, together with two lessons to introduce and also develop the ide with your students.

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What walk Absolute value Mean?

Absolute value explains the distance indigenous zero that a number is on the number line, without considering direction. The absolute value of a number is never negative. Take a look at at part examples.

The absolute worth of 5 is 5. The distance from 5 to 0 is 5 units.

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The absolute worth of –5 is 5. The distance from –5 come 0 is 5 units.
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The absolute worth of 2 + (–7) is 5. As soon as representing the amount on a number line, the resulting point is 5 devices from zero.
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The absolute value of 0 is 0. (This is why us don"t say the the absolute worth of a number is positive. Zero is neither negative nor positive.)

Absolute value Examples and also Equations

The most common means to stand for the absolute worth of a number or expression is to surround it v the absolute worth symbol: 2 vertical right lines.

|6| = 6 means “the absolute value of 6 is 6.”|–6| = 6 means “the absolute value of –6 is 6.|–2 – x| means “the absolute worth of the expression –2 minus x.–|x| means “the an unfavorable of the absolute value of x.

The number heat is not just a way to display distance native zero; it"s likewise a useful method to graph equalities and inequalities that contain expressions with absolute value.

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Consider the equation |x| = 2. To display x on the number line, you require to show every number whose absolute value is 2. There are specifically two areas where that happens: in ~ 2 and also at –2:


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Now take into consideration |x| > 2. To present x ~ above the number line, you require to present every number who absolute value is greater than 2. As soon as you graph this top top a number line, use open dots in ~ –2 and also 2 to suggest that those numbers are not component of the graph:


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In general, you acquire two sets of values for any inequality |x| > k or |x| ≥ k, whereby k is any kind of number.

Now take into consideration |x| ≤ 2. Girlfriend are trying to find numbers whose absolute values are less than or same to 2. This is true for any number in between 0 and 2, including both 0 and 2. It is additionally true for every one of the the contrary numbers in between –2 and 0. When you graph this ~ above a number line, the close up door dots at –2 and also 2 indicate that those numbers space included. This is because of the inequality making use of ≤ (less than or equal to) instead of

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Math activities and Lessons qualities 6-8