Question

10000000000×1000000000

Explanation:

Step1: Rewrite numbers in scientific notation

We can write \(100000000000\) as \(1\times10^{11}\) and \(1000000000\) as \(1\times10^{9}\).

Step2: Multiply the numbers in scientific notation

When multiplying numbers in scientific notation \(a\times10^{m}\times b\times10^{n}=(a\times b)\times10^{m + n}\). Here \(a = 1\), \(b=1\), \(m = 11\) and \(n=9\). So \((1\times1)\times10^{11 + 9}=1\times10^{20}\).
Alternatively, we can count the number of zeros. \(100000000000\) has 11 zeros and \(1000000000\) has 9 zeros. When we multiply them, the total number of zeros is \(11 + 9=20\), so the result is \(1\) followed by 20 zeros, which is \(10^{20}\) or \(100000000000000000000\).

Answer:

\(10^{20}\) (or \(100000000000000000000\))