simplify by using the order of operations. 4{3-7}2 + 10 2
Not sure what "10 2" means, but if it's 10^2, then
4{3-7}2 + 10^2
4{-4}2 + 10^2
4{-4}2 + 100
-16*2 + 100
-32 + 100
68
if 4{3-7}2 + 10 2 means
4{3-7}^2 + 10*2 then
4{-4}^2 + 10*2
4*16 + 10*2
64 + 20
84
So pick the operator of your choice remembering that
(a) a space is not an operator
(b) elements bumped up against each other are assumed to be multiplied
and then apply the order of PEMDAS
3•10(9+1)square root of 2
To simplify the expression using the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction), follow these steps:
Step 1: Evaluate the expression inside the curly braces first: 3 - 7 = -4.
Step 2: Replace the expression inside the curly braces with -4: 4*(-4)2 + 10 * 2.
Step 3: Simplify the multiplication: 4 * -4 = -16.
Step 4: Replace the multiplication with the simplified value: -16 * 2 + 10 * 2.
Step 5: Simplify the multiplication on the right side: 10 * 2 = 20.
Step 6: Replace the multiplication on the right side with the simplified value: -16 * 2 + 20.
Step 7: Perform the remaining multiplication: -16 * 2 = -32.
Step 8: Replace the multiplication on the left side with the simplified value: -32 + 20.
Step 9: Perform the addition: -32 + 20 = -12.
Therefore, the simplified expression is -12.
To simplify the expression using the order of operations, you need to follow the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's simplify the expression step by step:
1. Start by simplifying the expression inside the parentheses: 3 - 7 = -4.
Now, the expression becomes: 4{-4}2 + 10 * 2
2. Next, perform the multiplication within the brackets: 4 * -4 = -16.
Now, the expression becomes: -16 * 2 + 10 * 2
3. Move on to the multiplication: -16 * 2 = -32 and 10 * 2 = 20.
Now, the expression becomes: -32 + 20
4. Finally, perform the addition: -32 + 20 = -12.
Therefore, the simplified expression is -12.