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Absolute Values Investigations

Last updated over 1 year ago
22 questions
Criterion B: Investigating Patterns
ii. describe patterns as general rules consistent with findings.
1

Determine which of these real numbers could be an absolute value.

1

Recheck your answer and write down a general rule for what kind of real numbers could be absolute values.

Find |a x b| and |a| x |b| for each of the following pairs of a and b
1

a= 11 and b = 7

1

a = -6 and b = 4

1

1

a = -0.2 and b = -15

1

a = -√3 and b = -3

1

Describe what you notice in the above set of questions. Do you see any pattern?

1

Write down your findings as a general property.

1

a = 5

1

a = -3

1

1

a = √6

1

Describe what you notice.

1

Write a general rule consistent with your findings.

1

Complete the following table

1

Describe any generalizations you noticed.

1

Complete the following table

1

Draw conclusions from the table above.
Choose the correct answer.

1

Draw conclusions from the table above.
Choose the correct answer.

1

Draw conclusions from the table above.
Choose the correct answer.

1

Draw conclusions from the table above.
Choose the correct answer.

Self check.
After submitting your work, you will be able to see the correct answers to all the questions. Make a note of what went wrong (if any) and redo the questions you made mistakes in.