Question

evaluate. write your answer as a whole number
\\(\frac{10^3}{9^2} = \frac{\square\square}{\square}\\)

Explanation:

Step1: Calculate the numerator

The numerator is \(10^3\), which means \(10\times10\times10 = 1000\).

Step2: Calculate the denominator

The denominator is \(9^2\), which means \(9\times9 = 81\).

Step3: Divide the numerator by the denominator

Now we divide \(1000\) by \(81\). \(1000\div81\approx12.345\), but wait, the problem says to write the answer as a whole number? Wait, maybe there is a miscalculation. Wait, no, \(10^3 = 1000\), \(9^2=81\), and \(1000\div81 = 12\) with a remainder, but if we do the division: \(81\times12 = 972\), \(1000 - 972 = 28\), so as a whole number, maybe we take the quotient? Wait, the problem says "Write your answer as a whole number", but \(1000\div81\) is not a whole number. Wait, maybe I misread the problem. Wait, the problem is \(\frac{10^3}{9^2}\), let's recalculate: \(10^3 = 1000\), \(9^2 = 81\), \(1000\div81\approx12.345\), but if we need a whole number, maybe it's a typo, but according to the calculation, the fraction is \(\frac{1000}{81}\), but as a whole number, maybe the problem expects the quotient? Wait, no, the problem says "Write your answer as a whole number", but \(\frac{1000}{81}\) is not a whole number. Wait, maybe I made a mistake. Wait, \(10^3\) is 1000, \(9^2\) is 81, so \(\frac{1000}{81}\) is the fraction, but if we convert it to a whole number, maybe the problem has a mistake, but according to the calculation, the numerator is 1000, denominator is 81, and as a whole number, maybe we take the integer part, which is 12? But 81*12=972, 1000-972=28, so the whole number part is 12. But the problem's box is for the numerator and denominator? Wait, the problem shows \(\frac{10^3}{9^2}=\frac{\square\square}{\square}\), maybe it's a fraction, not a whole number? Wait, the problem says "Write your answer as a whole number", but maybe it's a mistake, and we just need to write the fraction as \(\frac{1000}{81}\), but 1000 and 81 have no common factors, so that's the simplified fraction. But if we need a whole number, maybe the problem is \(\frac{10^3}{10^2}\) or something else, but as per the given problem, let's proceed.

Wait, maybe the problem is to write the numerator and denominator as whole numbers, so numerator is 1000, denominator is 81, and if we need a whole number, maybe the problem is incorrect, but according to the calculation:

Step1: Compute \(10^3\)

\(10^3 = 10\times10\times10 = 1000\)

Step2: Compute \(9^2\)

\(9^2 = 9\times9 = 81\)

Step3: Form the fraction

So \(\frac{10^3}{9^2} = \frac{1000}{81}\)

But the problem says "Write your answer as a whole number", which is confusing because \(\frac{1000}{81}\) is not a whole number. Maybe there's a typo, but based on the calculation, the numerator is 1000, denominator is 81.

Answer:

\(\frac{1000}{81}\) (But as a whole number, it's not possible, but the fraction is \(\frac{1000}{81}\))

Wait, maybe the problem meant \(10^2\) instead of \(10^3\)? If it's \(10^2\), then \(100\div81\), still not a whole number. Or \(9^3\)? No. Wait, maybe the original problem is \(\frac{10^3}{10^2}\), which is 10, but that's not the case here. Anyway, based on the given problem, the numerator is 1000, denominator is 81, so \(\frac{1000}{81}\).