Fully simplify the following:
4÷4⋅2⋅4÷(13−11)
To simplify the expression, we follow the order of operations, which states that we should perform operations within parentheses first, then exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).
First, we simplify the expression within parentheses:
4 ÷ 4 ⋅ 2 ⋅ 4 ÷ (13 − 11) = 4 ÷ 4 ⋅ 2 ⋅ 4 ÷ 2 = 1 ⋅ 2 ⋅ 4 ÷ 2 = 2 ⋅ 4 ÷ 2 = 8 ÷ 2 = 4
Therefore, the fully simplified expression is 4.
To fully simplify the expression 4 ÷ 4 ⋅ 2 ⋅ 4 ÷ (13 − 11), you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
Step 1: Simplify within parentheses (13 − 11).
13 − 11 = 2
After simplifying, the expression becomes:
4 ÷ 4 ⋅ 2 ⋅ 4 ÷ 2
Step 2: Perform any remaining division and multiplication from left to right.
4 ÷ 4 = 1
1 ⋅ 2 = 2
2 ⋅ 4 = 8
8 ÷ 2 = 4
The fully simplified expression is 4.
To fully simplify the given expression, you need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to perform the operations in the correct order.
Let's break down the given expression step by step:
4 ÷ 4 ⋅ 2 ⋅ 4 ÷ (13 − 11)
Step 1: Simplify the expression inside the parentheses, (13 − 11):
4 ÷ 4 ⋅ 2 ⋅ 4 ÷ 2
Step 2: Perform the division and multiplication from left to right:
1 ⋅ 2 ⋅ 4 ÷ 2
Step 3: Continue simplifying by performing the remaining multiplications:
2 ⋅ 4 ÷ 2
Step 4: Finally, perform the division:
8 ÷ 2
Step 5: Calculate the division:
4
Therefore, the fully simplified expression is 4.