Question

you know that $10 = 10 \times 1$ and $100 = 10 \times 10$. what is 1,000 equal to? complete the equation. $1000 = $

Explanation:

Step1: Identify the pattern

Observe the given equations: \(10 = 10\times1\) and \(100 = 10\times10\). The pattern is that each time, we multiply 10 by itself one more time. For 10, it's \(10\times1\) (or \(10^1\)), for 100, it's \(10\times10\) (or \(10^2\)).

Step2: Apply the pattern to 1000

Following the pattern, 1000 should be \(10\times10\times10\) (or \(10^3\)). Since \(10\times100 = 1000\) (and \(100 = 10\times10\)), we can also write it as \(10\times100\) or \(10\times10\times10\). From the given options (with 10 and \(\times\) available), we can see that \(1000 = 10\times100\) or more precisely, following the previous multiplications, \(1000 = 10\times100\) (but since \(100 = 10\times10\), it's \(10\times10\times10\)). But using the numbers provided, we can form \(1000 = 10\times100\) or using the 10s, \(1000 = 10\times10\times10\). However, looking at the interface, we can use the 10 and \(\times\) to build \(10\times100\) but since 100 is \(10\times10\), the correct equation following the pattern of \(10, 10\times10, 10\times10\times10\) is \(1000 = 10\times100\) (or \(10\times10\times10\)). But from the given tiles, we have 10 and \(\times\), so we can see that \(1000 = 10\times100\) but 100 is \(10\times10\), so the step - by - step pattern gives us \(1000 = 10\times100\) (or \(10\times10\times10\)).

Answer:

\(1000 = 10\times100\) (or more accurately, following the multiplication of 10s, \(1000 = 10\times10\times10\))