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Get Ready for Statistics: Corequisites
Negative Numbers, Opposites, Reciprocals, and Square Roots

 

Problem  1
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Label the points on a number line
\(-3.5, -1\displaystyle\frac{1}{4}, \displaystyle\frac{1}{2}, \displaystyle\frac{3}{4}, 2.5\).

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Breylor cc
Breylor
Arielle cc
Arielle
Aaron cc
Aaron
Cynthia espanol spanish
Cynthia
Problem  2
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Write \(\displaystyle\frac{3}{4}\) with denominator \(20\).

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Gordon cc
Gordon
Arielle cc
Arielle
Aaron cc
Aaron
Gordon espanol spanish
Gordon
Problem  3
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Factor \(525\) into the product of primes.

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Preston
Preston
Katrina
Katrina
Breylor cc
Breylor
Cynthia espanol spanish
Cynthia
Problem  4
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Reduce \(\dfrac{210}{231}\) to lowest terms.

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Mr. McKeague cc
Mr. McKeague
Betsy cc
Betsy
CJ cc
CJ
Julieta espanol spanish
Julieta
Problem  5
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Write each expression without absolute value symbols.

  1. \(\lvert5\rvert\)

  2. \(\lvert-5\rvert\)

  3. \(\left\lvert-\displaystyle\frac{1}{2}\right\rvert\)

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Arielle cc
Arielle
Preston cc
Preston
Betsy cc
Betsy
Cynthia espanol spanish
Cynthia
Problem  6
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Simplify.

  1. \(\lvert8-3\rvert\)

  2. \(\left\lvert3\cdot 2^3+2\cdot 3^2\right\rvert\)

  3. \(\lvert9-2\rvert-\lvert8-6\rvert\)

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Mr. McKeague cc
Mr. McKeague
Preston cc
Preston
Molly M. cc
Molly M.
Arielle cc
Arielle
Problem  7

Find all x for which |x| = 3.

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Mr. McKeague cc
Mr. McKeague
Problem  8
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Give the opposite of each number.

  1. \(5\)

  2. \(-3\)

  3. \(\displaystyle\frac{1}{4}\)

  4. \(-2.3\)

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Arielle cc
Arielle
Betsy cc
Betsy
Aaron cc
Aaron
David espanol spanish
David
Problem  9
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Multiply \(\displaystyle\frac{3}{4}\cdot \displaystyle\frac{5}{7}\)

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Arielle cc
Arielle
Preston cc
Preston
Molly M. cc
Molly M.
Cynthia espanol spanish
Cynthia
Problem  10
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Multiply \(7\left(\displaystyle\frac{1}{3}\right)\)

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Arielle cc
Arielle
Betsy cc
Betsy
Aaron cc
Aaron
David espanol spanish
David
Problem  11
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Give the reciprocal of each number.

  1. \(5\)

  2. \(2\)

  3. \(\displaystyle\frac{1}{3}\)

  4. \(\displaystyle\frac{3}{4}\)

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Stefanie
Stefanie
CJ
CJ
Gordon
Gordon
Gordon espanol spanish
Gordon
Problem  12
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Find the following roots

  1. \(\sqrt{36}\)

  2. \(-\sqrt{36}\)

  3. \(\sqrt{144}\)

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Julieta
Julieta
Mr. Galletti
Mr. Galletti
Gordon
Gordon
Gordon espanol spanish
Gordon
Problem  13
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Find the following roots.

  1. \(\sqrt[3]{-8}\)

  2. \(\sqrt[3]{-27}\)

  3. \(\sqrt{-4}\)

  4. \(-\sqrt{4}\)

  5. \(\sqrt[4]{-16}\)

  6. \(-\sqrt[4]{16}\)

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Betsy
Betsy
Molly S. cc
Molly S.
Preston
Preston
Anthony espanol spanish
Anthony
Problem  14
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Simplify \(\sqrt{25a^2}\), assume \(a\geq0\).

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Molly S. cc
Molly S.
Gordon
Gordon
Gordon espanol spanish
Gordon
Problem  15
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Simplify \(\sqrt{16a^2b^2}\), assume \(a\geq 0\) and \(b\geq 0\).

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Molly S. cc
Molly S.
Gordon cc
Gordon
Cynthia espanol spanish
Cynthia
Problem  16
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Use a calculator to find decimal approximations of each of the following, round to the nearest thousandth.

  1. \(\sqrt{12}\)

  2. \(2\sqrt{3}\)

  3. \(\sqrt{45}\)

  4. \(3\sqrt{5}\)

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Molly S. cc
Molly S.
Gordon
Gordon
Gordon espanol spanish
Gordon
Problem  17
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Simplify \(\sqrt{\dfrac{8}{3-1}}\)

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Mr. McKeague cc
Mr. McKeague
Mr. Galletti
Mr. Galletti
Julieta
Julieta
Julieta espanol spanish
Julieta
Problem  18
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Simplify \(\dfrac{12-4}{\dfrac{5}{\sqrt{9}}}\)

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Mr. McKeague cc
Mr. McKeague
Mr. Galletti
Mr. Galletti
Julieta
Julieta
Julieta espanol spanish
Julieta
Problem  19
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Evaluate the expression \(\sqrt{npq}\) if \(n=100\), \(p=0.4\), and \(q=1-p\).

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Mr. McKeague cc
Mr. McKeague
Suhas
Suhas
Julieta
Julieta
Julieta espanol spanish
Julieta