Question

Your friend uses the order of operations to findthe value of 11(39-3). How could you usethe Distributive Property to show that eithermethod gives the same answer? Explainshowing both methods.

Answer 1

ANSWER AND EXPLANATION:

Given:

$11(39-3)$

Note that the acronym PEMDAS describes the order of operations and each letter stands for;

P - Parentheses

E - Exponents

M/D- Multiplication/Division (from left to right)

A/S - Addition/Subtraction (from left to right)

Following the above order of operations, we can go ahead and solve the expression as seen below;

$\begin{gathered} 11(39-3) \\ =11(36) \\ =396 \end{gathered}$

Using the Distributive Property, we can go ahead and solve the expression as seen below;

$\begin{gathered} 11(39-3) \\ =11*39-11*3 \\ =429-33 \\ =396 \end{gathered}$

We can see from the above that both methods give the same answer.