Answer:
Step-by-step explanation:
<h3>Let's first understand this problem. What does 3(4 * 5) and </h3><h3>(3 * 4)5 mean?</h3>
Let's first simplify 3(4 * 5). The first part we need to understand PEMDAS, the order of operations. PEMDAS is the order in which we <em>operate</em>. For example, you multiply before you subtract or add, right? What is PEMDAS?
<h2>P is for Parenthesis. Parenthesis look like ( ).</h2><h2>E is for Exponents. Exponents look like the 2 in this expression: x². Exponents tell you how many times you multiply that number by itself. </h2>
x² = x * x, x³ = x * x * x, etc.
<h2>M is for Multiplication. Multiplication signs can look like either *, ×, or ·</h2><h2>D is for Division. Division signs can look like either / or ÷.</h2><h2>A is for Addition. Addition signs can look like +.</h2><h2>S is for subtraction. Subtraction signs can look like -. </h2><h3>Please notice that Multiplication and Division can be before or after each other; same with Addition or Subtraction. With addition and subtraction, you want to go from left to right.</h3><h2>Now, according to PEMDAS, we must solve what is within the parenthesis to first simplify each side of the equation. Let's try!</h2><h2>3(4 * 5) = (3 * 4)5</h2><h3>We need to simplify the parenthesis. That means we need to simplify (4 * 5) and (3 * 4). Let's try!</h3><h3>4 * 5 = 4 × 5 = 20.</h3><h3>3 * 4 = 3 × 4 = 12.</h3><h3>Now we can replace (4 * 5) with 20 on the left side of the equation and (3 * 4) with 12 on the right side of the equation...</h3><h3>3 × 20 = 12 × 5</h3><h3>60 = 60</h3><h2>If both sides of the equation are the same, the solution would have to be all real numbers. Also, there is no variable to define. It's basically rewriting 60 with factoring using the associative property of multiplication.</h2>
