Answer :

To solve the given equations, we will break down each calculation step by step.

1. First Equation:
[tex]\[ 9.1 \times 10^2 \][/tex]

Here, we are multiplying 9.1 by [tex]\(10^2\)[/tex] (which is 100). When you multiply a number by 100, you essentially move the decimal point two places to the right.

Therefore, the calculation is:
[tex]\[ 9.1 \times 100 = 910.0 \][/tex]

So, the first equation is:
[tex]\[ 9.1 \times 10^2 = 910.0 \][/tex]

2. Second Equation:
[tex]\[ 9.1 \div 10^2 \][/tex]

In this case, we are dividing 9.1 by [tex]\(10^2\)[/tex] (which is 100). When you divide a number by 100, you move the decimal point two places to the left.

Hence, the calculation is:
[tex]\[ 9.1 \div 100 = 0.091 \][/tex]

Thus, the second equation is:
[tex]\[ 9.1 \div 10^2 = 0.091 \][/tex]

Finally, summarizing both equations:

[tex]\[ 9.1 \times 10^2 = 910.0 \][/tex]
[tex]\[ 9.1 \div 10^2 = 0.091 \][/tex]