Back to 1.1 Real Numbers: Algebra Essentials

Using Properties of Real Numbers

Avg difficulty 2.5

Use the properties of real numbers to rewrite and simplify each expression. State which properties apply.

  1. ⓐ 3⋅6+3⋅4 3 \cdot 6 + 3 \cdot 4
  2. ⓑ ( 5+8 )+( −8 ) \left(5 + 8\right) + \left(−8\right)
  3. ⓒ 6−( 15+9 ) 6 - \left(15 + 9\right)
  4. ⓓ 4 7 ⋅( 2 3 ⋅ 7 4 ) \frac{4}{7} \cdot \left(\frac{2}{3} \cdot \frac{7}{4}\right)
  5. ⓔ 100⋅[ 0.75+( −2.38 ) ] 100 \cdot \left[0.75 + \left(−2.38\right)\right]

OpenStax Algebra and Trigonometry 2e, 1.1 Real Numbers: Algebra Essentials, exercise 16

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.