What is #3.762\times .66#?
2 Answers
2.5 ( according to significant figures.)
2.48292 ( ignoring significant figures.)
Explanation:
3.762 has three numbers to the right of the decimal
.66 has two numbers to the right of the decimal
product has five numbers to the right of the decimal
In multiplying decimal numbers add the decimals to the right of the decimal in both numbers to find the number of decimals that will be to the right of the decimal in the product or answer.
Multiplying by a decimal number ( a number to the right of the decimal) is the same as dividing.
.66 = 66/100 dividing by 100 moves the decimal two places to the left.
.762 = 762/1000 dividing 1000 moves the decimal three places to the left.
all together these two numbers will move the decimal five places to the left.
another way to think about this is change the decimals numbers to a fractions
Dividing by 100000 moves the decimal point five places to the left
resulting in 2.48292. However since .66 has only two numbers it may be more appropriate to round the answer off to only two numbers
A different format of writing the same thing
Explanation:
Write 3.762 as:
Write 0.66 as:
So we have:
