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# Multiplying Decimals

Multiplying decimals can be done most simply by ignoring the decimal point during the multiplication and then dealing with it after obtaining the product. For example, if the problem is to multiply $$2.3 \times 5.1$$ we can easily find that $$23 \times 51 = 1173$$. Then, noting that we had two digits after the decimal place, the result is 11.73.

Note that this approach is possible because $$2.3 = \frac{1}{10} \times 23$$ and $$5.1 = \frac{1}{10} \times 51$$, thus $$2.3 \times 5.1 = 23 \times 51 \times \frac{1}{100}$$.

Note by Arron Kau
2 years, 7 months ago