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Incorrect.

That is incorrect. 0.001 is larger than 0.00001.

"Explain your thinking using negative power of 10 and the number line."

0.001 can be written as 1/1000, or 10^-3. 0.00001 can be written as 1/100000, or 10^-5.

When you raise something to a negative power, you are dividing it one by that number to the positive version of that power, for example, 10^-2 = 1/(10^2). When a fraction has a larger number as its divisor, the bottom number, that means it is being divided by a larger number, so it will be smaller. Since 10^5 is larger than 10^3, 0.00001 is smaller. Number line-wise, a number with a larger negative power is further to the left, meaning it's smaller.

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9y ago
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Q: Is is correct that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point?
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