two numbers, x and y, each between 0 and 1, are multiplied. if the tenths digit of x is 1 and the tenghts digit of y is 2, what is the greatest possible value of the hundredths digit of the product?
Not sure I understand the question, but I'll try.
x = 0.1 and then some more
y = 0.2 and then some more
Let's try some numbers and see if we can see a pattern.
0.11 • 0.21 = 0.0231 hundredths is 2
0.12 • 0.22 = 0.0264 hundredths is 2
0.13 • 0.23 = 0.0299 hundredths is 2
0.14 • 0.24 = 0.0336 hundredths is 3
Let's skip ahead and see what happens.
0.18 • 0.28 = 0.0502 hundredths is 5
0.19 • 0.29 = 0.0551 hundredths is 5
0.1999999999999 • 0.2999999999999 = 0.5999999999995
I don't think it's going to break over to 6 unless you round it to fewer significant digits.
So I'm going out on a limb here and say the largest number that can be in the hundredths place is 5.
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