Page 6.2.2: Multiplying and Dividing Decimals

WTRM 201 Introduction to Water, Wastewater Technology · LibreTexts

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    From LibreTexts, under CC BY 1.0, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    Multiplying and dividing decimals is simple enough if you use a calculator. When multiplying decimals, there is no certain order you need to type the numbers in your calculator.

    Example \(\PageIndex{1}\)

    0.255 × 0.23 = 0.05865

    25 × 35 = 875

    100.5 × 12.75 = 1,281.375

    Exercise 2.2

    Multiply the following problems

    1. \(\begin{array}{r}
      5 \\
      \times 0.35\\ \hline
      \end{array}\)
    2. \(\begin{array}{r}
      65 \\
      \times 0.2\\ \hline
      \end{array}\)
    3. \(\begin{array}{l}
      0.515 \\
      \times 0.15\\ \hline
      \end{array}\)
    4. \(\begin{array}{l}
      20.54 \\
      \times 5.01\\ \hline
      \end{array}\)
    5. \(\begin{array}{l}
      0.002 \\
      \times 1.07\\ \hline
      \end{array}\)
    6. \(\begin{array}{r}
      0.9 \\
      \times 0.8\\ \hline
      \end{array}\)
    7. \(\begin{array}{r}
      8.5 \\
      \times 0.2\\ \hline
      \end{array}\)
    8. \(\begin{array}{r}
      52 \\
      \times 0.11\\ \hline
      \end{array}\)
    9. \(\begin{array}{r}
      0.4 \\
      \times 0.04\\ \hline
      \end{array}\)
    10. \(\begin{array}{r}
      4.23 \\
      \times 2\\ \hline
      \end{array}\)
    11. \(\begin{array}{r}
      0.2 \\
      \times 0.45\\ \hline
      \end{array}\)
    12. \(\begin{array}{r}
      2.68 \\
      \times 0.298\\ \hline
      \end{array}\)

    When dividing decimals, the denominator (or the divisor) is divided into the numerator (or the dividend). The resultant answer is termed the quotient. In the example below, 25 is divided into 125. On your calculator, you would type in the 125 first and then the 25. It is read as 125 divided by 25.

    Example \(\PageIndex{2}\)

    \(\begin{array}{ll}
    \dfrac{125}{25}= & 5 \\
    \dfrac{1.25}{25}= & 0.05 \\
    \dfrac{1.25}{0.25}= & 5
    \end{array}\)

    Exercise 2.2.1

    Divide the following problems.

    1. \(0.6 \div 5=\)
    2. \(28 \div 7=\)
    3. \(14 \div 20=\)
    4. \(0.54 \div 12=\)
    5. \(75 \div 40=\)
    6. \(1.44 \div 12=\)
    7. \(0.48 \div 2.4=\)
    8. \(156 \div 0.78=\)

    This page titled Page 6.2.2: Multiplying and Dividing Decimals was last modified on Tue, 07 Oct 2025 23:06:08 GMT and is shared under a CC BY 1.0 license and was authored, remixed, and/or curated by Catherine Miettinen Ames.