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Laabri

Algebra 2 1-2 Guided Practice: Properties of Real Numbers

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Last updated almost 4 years ago
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1.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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2.

Solve It! How can you describe a set that includes five of the emoticons shown, but not the sixth?

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3.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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4.

Take Note: Classify each number below based on the subset of the real numbers that provides the most information about the number. In other words, only place each number into the smallest subset to which it belongs.

  • 0

  • -\frac{7}{5}

  • 5

  • -782

  • Rational Numbers

  • Integers

  • Whole Numbers

  • Natural Numbers

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5.

Problem 1 Got It?

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6.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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7.

Problem 2 Got It? Graph and label each of the numbers on the number line provided on the canvas. Use a color other than black.

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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9.

Take Note: Match each inequality symbol with its name.

Draggable itemarrow_right_altCorresponding Item

\leq

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is less than

<

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is greater than

\geq

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is less than or equal to

>

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is greater than or equal to

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10.

Problem 3 Got It? Fill in the blank to compare the two numbers below.

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11.

Problem 3 Got It? Reasoning: Let a, b, and c be real numbers such that a < b and b < c.

How do a and c compare?

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12.

Video Check: Select all that apply with regards to the video embedded directly above this item.

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13.

Take Note: Define opposite (or additive inverse).

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14.

Take Note: Provide an example pair of opposites (or additive inverses).

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15.

Take Note: Define reciprocal (or multiplicative inverse).

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16.

Take Note: Provide an example pair of reciprocals (or multiplicative inverses).

Take Note: Take a moment to review the Properties of Real Numbers and add them to your notes.

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17.

Take Note: Let a, b, and c be real numbers. Use the Properties of Real Numbers to match equivalent expressions.

Draggable itemarrow_right_altCorresponding Item

x+(-x)

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y+x

z\cdot\frac{1}{z}

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x+(y+z)

(x+y)+z

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x(yz)

x(y+z)

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z

(xy)z

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y

z+0

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0

x+y

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1

y\cdot1

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xy+xz

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18.

Problem 4 Got It? Which property does the equation illustrate?

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19.

🧠 Retrieval Practice:

Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?