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Math Fundamentals
Decimals

1
Decimal Notation and Place Value

Problem  1

Write \(423.576\) in expanded form.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  2
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Write each in words:

  1. \(0.4\)

  2. \(0.04\)

  3. \(0.004\)

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Stephanie cc
Stephanie
Preston cc
Preston
Cynthia cc espanol spanish
Cynthia
Problem  3
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Write each in words:

  1. \(5.4\)

  2. \(5.04\)

  3. \(5.004\)

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Stephanie cc
Stephanie
Preston cc
Preston
Edwin cc espanol spanish
Edwin
Problem  4
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Write \(3.64\) in words.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia
Problem  5
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Write \(25.4936\) in words.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  6
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Write each number as a fraction or a mixed number. Do not reduce to lowest terms.

  1. \(0.004\)

  2. \(3.64\)

  3. \(25.4936\)

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Stephanie cc
Stephanie
Aaron cc
Aaron
Julieta cc espanol spanish
Julieta
Problem  7
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Round \(9,235.492\) to the nearest hundred.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  8
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Round \(0.00346\) to the nearest ten-thousandth.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia

2
Addition and Subtraction with Decimals

Problem  1
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Katrina cc
Katrina
Edwin cc
Edwin
Edwin espanol spanish
Edwin
Problem  2
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Subtract: \(39.812-14.236\)

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Preston cc
Preston
Stephanie cc
Stephanie
Edwin cc
Edwin
Edwin cc espanol spanish
Edwin
Problem  3
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Add: \(8+0.002+3.1+0.04\)

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Preston cc
Preston
Molly M. cc
Molly M.
Edwin cc espanol spanish
Edwin
Problem  4
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Subtract: \(5.9-3.0814\)

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Molly M. cc
Molly M.
Edwin cc
Edwin
Julieta cc espanol spanish
Julieta
Problem  5
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Subtract \(3.09\) from the sum of \(9\) and \(5.472\).

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Molly M. cc
Molly M.
Edwin cc
Edwin
Edwin cc espanol spanish
Edwin

3
Multiplication with Decimals

Problem  1
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Change to a fraction and multiply: \(0.5\times 0.3\)

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Lauren cc
Lauren
Preston cc
Preston
Edwin cc espanol spanish
Edwin
Problem  2
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Change to a fraction and multiply: \(0.05\times 0.003\)

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Lauren cc
Lauren
Gordon cc
Gordon
Edwin cc espanol spanish
Edwin
Problem  3
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Multiply: \(2.1 \times 0.07\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  4
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How many digits will be to the right of the decimal point in: \(2.897\times 24.82\)

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Betsy cc
Betsy
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  5
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Multiply: \(3.05 \times 4.36\)

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Molly M. cc
Molly M.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  6
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Estimate each of the following products:

  1. \(29.4\times 8.2\)

  2. \(68.5\times 175\)

  3. \((6.32)^2\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  7
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Perform the indicated operations: \(0.05(4.2+0.03)\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  8
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Simplify: \(4.8+12(3.2)^2\)

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Molly M. cc
Molly M.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  9
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Katherine cc
Katherine
Logan cc
Logan
Octabio espanol spanish
Octabio
Problem  10
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Katherine cc
Katherine
Logan cc
Logan
Octabio espanol spanish
Octabio

4
Division with Decimals

Problem  1
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Divide: \(5,974\div 20\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  2
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Divide: \(\, 34.8\div 4\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  3
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Divide: \(49.896\div 27\)

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Rachel cc
Rachel
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  4
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Divide: \(1,138.9\div 35\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  5
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Divide: \(31.35\div 3.8\)

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Molly S. cc
Molly S.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  6
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Molly S. cc
Molly S.
Gordon
Gordon
Problem  7
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Divide, round to the nearest hundredth: \(0.3778\div 0.25\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  8
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Divide and round to the nearest tenth: \(17\div 0.03\)

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Molly S. cc
Molly S.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  9
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Molly S. cc
Molly S.
Gordon
Gordon
Problem  10
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Katherine cc
Katherine
Logan cc
Logan
Octabio espanol spanish
Octabio
Problem  11
practice icon

A telephone company charges \(\$0.43\) fir the first minute and \(\$0.35\) for each additional minute for a call. If a call costs \(\$3.07\), how many minutes was the call?

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  12

Calculate Amy’s grade point average using the information in the section.

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Betsy cc
Betsy
Aaron cc
Aaron
Mini Lecture
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Mr. McKeague cc
Mr. McKeague

5
Fractions and Decimals

Problem  1
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Write \(\displaystyle\frac{3}{4}\) as a decimal.

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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  2
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Write \(\displaystyle\frac{7}{12}\) as a decimal to the correct thousandths.

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Molly S. cc
Molly S.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  3
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Write \(\dfrac{3}{11}\) as a decimal.

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  4
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Write \(0.38\) as a fraction in lowest terms.

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  5
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Convert \(0.075\) to a fraction.

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Julieta cc
Julieta
Molly S. cc
Molly S.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  6
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Write \(15.6\) as a mixed number.

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  7
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Simplify: \(\displaystyle\frac{19}{50}(1.32+0.48)\)

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Lauren cc
Lauren
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  8
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Simplify: \(\displaystyle\frac{1}{2}+(0.75)\cdot\left(\displaystyle\frac{2}{5}\right)\)

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Molly S. cc
Molly S.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  9
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Molly S. cc
Molly S.
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  10
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Katherine cc
Katherine
Logan cc
Logan
Octabio cc espanol spanish
Octabio

6
Square Roots and the Pythagorean Theorem

Problem  1
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Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  2
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Stephanie cc
Stephanie
Logan cc
Logan
Edwin cc espanol spanish
Edwin
Problem  3
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Richard cc
Richard
Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  4
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Julieta cc
Julieta
Logan cc
Logan
Edwin cc espanol spanish
Edwin
Problem  5
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Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  6
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Julieta cc
Julieta
Logan cc
Logan
Edwin cc espanol spanish
Edwin
Problem  7
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Stephanie cc
Stephanie
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  8
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Julieta cc
Julieta
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  9
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Julieta cc
Julieta
Aaron cc
Aaron
Edwin cc espanol spanish
Edwin
Problem  10
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Aaron cc
Aaron
Cynthia cc espanol spanish
Cynthia