priya finds (1.05) x (2.8) by calculating 105 x 28 then moving the decimal point three spaces to the left

Mathematics · Middle School · Tue Nov 03 2020

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Given the statement:

Priya finds (1.05) x (2.8) by calculating 105 x 28 then moving the decimal point three spaces to the left.

Explanation:

These findings can be justified since Priya is multiplying values that contain the same number, the only difference is that the other two values being multiplied contain a decimal point while the other two values are whole numbers. In multiplying two decimal numbers, it is a common rule to follow the designation of the decimal place, which depends on the combined number of decimal places between the two values. 1.05 has two decimal places, while 2.8 has one decimal place, thus when they are multiplied the answer will be 2.940, which contains three decimal places. Now for 105 and 28, if we multiply them together, the product will be 2940, and if we move three decimal places to the left, the answer will be 2.940.