Back to 1.1 Real Numbers: Algebra Essentials

1.1 Exercise 17

Avg difficulty 2.5

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

  1. ⓐ ( − 23 5 )⋅[ 11⋅( − 5 23 ) ] \left(- \frac{23}{5}\right) \cdot \left[11 \cdot \left(- \frac{5}{23}\right)\right]
  2. ⓑ 5⋅( 6.2+0.4 ) 5 \cdot \left(6.2 + 0.4\right)
  3. ⓒ 18−( 7−15 ) 18 - \left(7 −15\right)
  4. ⓓ 17 18 +[ 4 9 +( − 17 18 ) ] \frac{17}{18} + \left[\frac{4}{9} + \left(- \frac{17}{18}\right)\right]
  5. ⓔ 6⋅( −3 )+6⋅3 6 \cdot \left(−3\right) + 6 \cdot 3

OpenStax Algebra and Trigonometry 2e, 1.1 Real Numbers: Algebra Essentials, exercise 17

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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.