5.12 × 10^1____ 5.12 × 10^2

Answer 1

To compare \(5.12 \times 10^1\) and \(5.12 \times 10^2\), we can evaluate their values:

1. Calculate \(5.12 \times 10^1\): \[ 5.12 \times 10^1 = 5.12 \times 10 = 51.2 \]

2. Calculate \(5.12 \times 10^2\): \[ 5.12 \times 10^2 = 5.12 \times 100 = 512 \]

Now we can see that: \[ 51.2 < 512 \]

Thus, the correct inequality to fill in the blank is: \[ 5.12 \times 10^1 < 5.12 \times 10^2 \]

So the complete statement is: \[ 5.12 \times 10^1 < 5.12 \times 10^2 \]