comparing & ordering integers. objective content objective: we will compare and order integers....
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Comparing & Ordering Integers
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Objective• Content Objective: We will compare and
order integers. We will communicate mathematical ideas using graphical models.
• Why learn this: We use positive and negative numbers to measure temperature, height (as in above and below sea level), money, and more. We use absolute value to determine the distance from a point, without regard to the direction we are moving from that point.
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Vocabulary
• integers: all positive whole numbers, their opposites, and zero.
• opposites: two numbers that are the same distance from zero on the number line, but in opposite directions. Ex. 2, -2
• absolute value: a number’s distance from zero on the number line (always a positive value).
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Finding Absolute Value
Find the l3l and l-3l.
l3l and l-3l = 3
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Quick Practice
Write the opposite of each number. a)2 b) 4 c) -3 d) -11
a) -2 b) -4 c) 3 d) 11
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Quick Practice
Find each absolute value.
a)l-21l b)l14l c) l-1l d)l21l
a) 21 b)14 c) 1 d)21
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Comparing Integers
Compare -4 and 1 using <, =, or >.
Remember, numbers increase going from left to right.
-4 < 1
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Quick Practice
Which number in the pair is farther away from zero.
a) 4, -5 b) 2, 5 c) -1, -3 d) -12, 11 a) -5 b) 5 c) -3 d) -12
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Quick Check
Compare using <, =, or >.
a) -6 -3 b) -23 0 c) 17 -18 d) 5 -1a) -6 < -3 b) -23 < 0 c) 17 > -18 d) 5 > -1
e) l-21l 21 f) -14 l14l c) l-1l -5e) l-21l = 21 f) -14 < l14l c) l-1l > -5
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Ordering Integers
Order the numbers -8, 7, -4, and 3 from least to greatest. Use a number line to plot the points. Then put them in order from least to greatest.
Remember, numbers increase going from left to right.
-8, -4, 3, and 7
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Quick PracticeIn golf, the person with the lowest score is the winner. Rank the players below by ordering their scores from lowest to highest.
Player ScoreB. Hive -12L. Emons -4T. Ricks +10J. Umps -3P. Tree -5
1.B. Hive
2.P. Tree
1.L. Emons
2.J. Umps
3.T. Ricks
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l-4l l-3l>
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l12l l-12l=
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l-20l l10l>
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l-14l l-15l<
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l-7l 6>
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-5 l-4l<
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-15 5<
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l-13l l12l>
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19 l-19l=
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l-27l 28<