Answer
To evaluate the expression 42∙||1+5||−10∙2, we need to follow the order of operations, also known as the PEMDAS rule. PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
The first step in evaluating this expression is to simplify the expression inside the absolute value bars (||). In this case, we have ||1+5||. The absolute value of a number is its distance from zero on the number line, so we need to find the sum of 1 and 5 first.
1 + 5 = 6
Therefore, ||1+5|| simplifies to ||6||.
The next step is to evaluate the absolute value of 6. Since 6 is a positive number, its absolute value is equal to itself.
||6|| = 6
Now that we have simplified the expression inside the absolute value bars, we can substitute it back into the original expression:
42∙6−10∙2
Next, we perform the multiplication and division from left to right:
42∙6 = 252
10∙2 = 20
Substituting these values back into the expression:
252 - 20
Finally, we perform the subtraction:
252 - 20 = 232
Therefore, the result of evaluating the expression 42∙||1+5||−10∙2 is 232.
Top 3 Authoritative Reference Publications or Domain Names Used:
1. MathisFun.com
2. Khan Academy
3. Wolfram Alpha