Which value is equivalent to 48 ÷ ((2 + 6) × 2) − 1?
To solve the equation 48 ÷ ((2 + 6) × 2) − 1, follow the order of operations (PEMDAS/BODMAS) to simplify the expression.
1. Start with the parentheses: (2 + 6) = 8.
Therefore, the expression becomes 48 ÷ (8 × 2) − 1.
2. Multiply: (8 × 2) = 16.
Now, the expression becomes 48 ÷ 16 − 1.
3. Divide: 48 ÷ 16 = 3.
The expression becomes 3 − 1.
4. Subtract: 3 − 1 = 2.
Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) − 1 is 2.
Simplify |-5| + |6|.
To solve this expression, follow the order of operations (parentheses, multiplication/division, and addition/subtraction) to find the equivalent value.
Step 1: Evaluate inside the parentheses:
2 + 6 = 8
Step 2: Simplify the expression inside the parentheses:
(2 + 6) × 2 = 8 × 2 = 16
Step 3: Divide 48 by 16:
48 ÷ 16 = 3
Step 4: Subtract 1 from 3:
3 - 1 = 2
Therefore, the expression 48 ÷ ((2 + 6) × 2) - 1 is equivalent to 2.
To find the value equivalent to 48 ÷ ((2 + 6) × 2) − 1, we need to follow the order of operations which is represented by the acronym PEMDAS:
1. Parentheses: Evaluate expressions inside parentheses first. In this case, (2 + 6) is equal to 8.
2. Multiplication and Division: Perform any multiplication or division from left to right. Since there is no multiplication or division left, we can move to the next step.
3. Addition and Subtraction: Perform any addition or subtraction from left to right. In this case, 48 divided by 8 gives us 6.
4. Subtract 1: Finally, subtract 1 from 6 to get the final result.
Therefore, the value equivalent to 48 ÷ ((2 + 6) × 2) − 1 is 5.