What is the simplified form of the following expression? 12[62 ÷ (52 – 42) + 7]
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12.6
195
33.8
132
The simplified form of the expression is 12[62 ÷ (52 – 42) + 7] = 12[62 ÷ 10 + 7] = 12[6 + 7] = 12[13] = 156.
I'm sorry for the confusion. To simplify the expression, we need to follow the order of operations, which states that we should perform operations inside parentheses first, then perform any multiplication or division from left to right, and finally perform any addition or subtraction from left to right.
12[62 ÷ (52 – 42) + 7]
First, we have to subtract 42 from 52 inside the parentheses:
12[62 ÷ 10 + 7]
Next, we divide 62 by 10:
12[6.2 + 7]
Now, we add 6.2 and 7:
12[13.2]
Finally, we multiply 12 by 13.2:
12 × 13.2 = 158.4
So, the simplified form of the expression is 158.4.
To simplify the given expression step-by-step, follow these calculations:
Step 1: Simplify the expression inside the parentheses (52 – 42)
52 – 42 = 10
Step 2: Evaluate the expression inside the brackets [ ]
62 ÷ 10 = 6.2
Step 3: Add the result from step 2 to 7
6.2 + 7 = 13.2
Step 4: Multiply the result from step 3 by 12
13.2 × 12 = 158.4
Therefore, the simplified form of the expression 12[62 ÷ (52 – 42) + 7] is 158.4.
To simplify the given expression, we need to follow the order of operations (also known as PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break it down step by step:
Step 1: Simplify the expression inside the parentheses (52 - 42):
52 - 42 = 10
Now the expression becomes:
12[62 ÷ 10 + 7]
Step 2: Perform the division:
62 ÷ 10 = 6.2
Now the expression becomes:
12[6.2 + 7]
Step 3: Add the numbers:
6.2 + 7 = 13.2
Now the expression becomes:
12[13.2]
Step 4: Multiply:
12 * 13.2 = 158.4
Therefore, the simplified form of the expression 12[62 ÷ (52 – 42) + 7] is 158.4.