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Module 3: Decimals

Multiplication

In multiplication, the same rules apply as doing vertical multiplication with whole numbers (Refer to Tutorial 3 in the Order of Operations > Multiplication section in Module 1: Numbers and Whole Numbers). However, it’s important to be aware of the number of decimal digits across all numbers in the multiplication statement, as it is reflected in the final answer. For example, if two numbers in a multiplication statement have 3 decimal digits together, the final answer should also have 3 decimal digits. Furthermore, the numbers do not need to align place value to place value.

Decimals—Multiplication by Sheridan Learning Services

Example:

45.3 × 2.9 {"version":"1.1","math":"45.3 \times 2.9"}

4 2 5.3 × 2.0 7 {"version":"1.1","math":"{"version":"1.1","math":"\begin{array}{r} &4^25.3\\ \times\!\!\!\!\!\!&2.0\\ \hline &7\end{array}"}     4 4 2 5.3 × 2.0 77 {"version":"1.1","math":"{"version":"1.1","math":"\begin{array}{r} &^44^25.3\\ \times\!\!\!\!\!\!&2.0\\ \hline &77\end{array}"}     4 4 2 5.3 × 2.0 40.77 {"version":"1.1","math":"{"version":"1.1","math":"\begin{array}{r} &^44^25.3\\ \times\!\!\!\!\!\!&2.0\\ \hline &40.77\end{array}"}

 

 

45.3 × 2.0 40.77 60 {"version":"1.1","math":"{"version":"1.1","math":"\begin{array}{r} &45.3\\ \times\!\!\!\!\!\!&2.0\\ \hline &40.77\\ &60\end{array}"}     1 45.3 × 2.0 40.77 0.60 {"version":"1.1","math":"{"version":"1.1","math":"\begin{array}{r} &^145.3\\ \times\!\!\!\!\!\!&2.0\\ \hline &40.77\\ &0.60\end{array}"}     1 45.3 × 2.0 40.77 90.60 {"version":"1.1","math":"{"version":"1.1","math":"\begin{array}{r} &^145.3\\ \times\!\!\!\!\!\!&2.0\\ \hline &40.77\\ &90.60\end{array}"}

 

 

1 45.3 × 2.0 40.77 90.60 131.37 {"version":"1.1","math":"{"version":"1.1","math":"\begin{array}{r} &^145.3\\ \times\!\!\!\!\!\!&2.0\\ \hline &40.77\\ &90.60\\ \hline &131.37 \end{array}"}

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