High School

Fredrick evaluates the numerical expression \((53.8 + 37.2) - (3^3 + 3.8)\) and records the answer as 51.5.

Lana evaluates the numerical expression \(53.7 + 37.2 - 3^3 + 3.8 - 8.6\) and records the answer as 59.1.

The expressions have the same numbers and operations. Explain how both could arrive at correct answers based on the expressions they evaluated.

Answer :

Final answer:

Both Fredrick and Lana have evaluated the expressions incorrectly. Their recorded numbers do not match the actual results obtained from the correct execution of the operations in their respective expressions.

Explanation:

The expressions evaluated by Fredrick and Lana are not the same despite having the same numbers and operations. The difference lies in the order and grouping of the operations due to parentheses.

Fredrick's expression is (53.8 + 37.2) - (3^3 + 3.8). By performing the operations in the parentheses first, we obtain 91.0 - (27 + 3.8) = 91.0 - 30.8 = 60.2, which does not match Fredrick's recorded answer of 51.5.

Lana's expression is 53.7 + 37.2 - 3^3 + 3.8 - 8.6. If we perform the operations from left to right, we obtain 91.1 - 27 + 3.8 - 8.6 = 59.3, which also does not match Lana's recorded answer of 59.1.

Thus, both Fredrick and Lana's numbers are incorrect due to improper execution of the operations.

Learn more about Numerical Expressions here:

https://brainly.com/question/36979177

#SPJ11

Other Questions