ararom said:
is the hundredths digit of the decimal d greater than 5?
1) the tenths digit of 10 d is 7.
2) the thousandths digit of d/10 is 7.
i can't get this, could you please help me?
thanks in advance...
For part 1), let's think about what happens when you MULTIPLY a number by 10. Don't you move the decimal point ONE place to the right? For example, 3.15 X 10 = 31.5. And 4.297 X 10 = 42.97.
Do you see that whatever digit was in the hundredths place of the original number d moves to the tenths place in the product after multiplying by 10?
Ok...so if you know that AFTER multiplying by 10, there is a 7 in the tenths place, wouldn't have that 7 been in the hundredths place BEFORE you did the multiplication?
So, before the multiplication of "d" by 10, the hundredths place would have been a 7. And the question asks this: if "d" is a decimal number, would the digit in the hundredths place be greater than 5?
Since 7 is greater than 5, your answer should be "yes."
Now....for problem (2), think about what happens when you DIVIDE a number by 10.....