Answer:
Dylan is correct
The answer computed is the number of hundredths in the product, so the decimal point should be placed to reflect that fact.
Step-by-step explanation:
3.01 is 301/100
When you multiply by 6, you get 1806/100. The number 1806 is the number of hundredths in the answer. When you put the 6 of 1806 in the hundredths place of the number, the decimal point falls between the 8 and the 0, as Dylan says.
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The answer can be estimated as 6×3 = 18. So, it is appropriate to place the decimal point so the resulting value is near 18: 18.06. (Not 1.806 or 180.6.)
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The multiplication algorithm for decimal numbers can be described as ...
- multiply the numbers as though they were integers
- count the total number of decimal places in the multiplicands
- place the decimal point in the answer so it has that number of decimal places.
Here, the only number with decimal places is 3.01, and it has 2. Thus, the answer should have 2 decimal places: 18.06.
