\(5 + 17 - 10^{2}\div5\)

\(7^{2} - 3^{2}\times4\)

\(2^{4}\div(7 - 5)\)

\((8^{2} + 36)\div(4\times5^{2})\)

\(12 + 21\div3 + (2^{2}\times0)\)

\((12 - 8)^{3} - 24\times2\)

\(12\times2 + 2^{3}\)

value : 120

\(7^{2} + 1 - 5\times3\)

value : 135

Hugo is saving for a new baseball glove. He saves $10 the first week, and $6 each week for the next 6 weeks. The expression \(10 + 6^{2}\) represents the total amount in dollars he has saved. What is the total amount Hugo has saved?

A scientist placed 5 fish eggs in a tank. Each day, twice the number of eggs from the previous day hatch. The expression \(5\times2^{6}\) represents the number of eggs that hatch on the seventh day. How many eggs hatch on the seventh day?

Explain how you could determine whether a calculator correctly performs the order of operations.