How Do You Solve This Problem:
[(8*2)- 13]^3+(4-1)^2+4-2*3+|3|-|-6|=?
[(8*2)- 13]^3+(4-1)^2+4-2*3+|3|-|-6|=?
[16-13]^3+(3)^2+4-2*3+3-6
[3]^3+9+4-6+3-6
27+9+4-6+3-6
36+4-6+3-6
40-6+3-6
34+3-6
37-6
31
If I was supose to explain it to a first grader how would I explain it?
To solve the given problem, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). Let's break down the steps one by one.
Step 1: Evaluate the expressions within parentheses.
In this case, there are no parentheses to simplify.
Step 2: Simplify any exponents.
Again, there are no exponents present in the given expression.
Step 3: Perform any multiplications or divisions, working from left to right.
We have a few multiplications to solve:
8 * 2 = 16
2 * 3 = 6
After performing these multiplications, we have:
(16 - 13)^3 + (4 - 1)^2 + 4 - 6 + |3| - |-6| = ?
Step 4: Evaluate any additions or subtractions, working from left to right.
Let's proceed with the additions and subtractions:
16 - 13 = 3
4 - 1 = 3
4 - 6 = -2
After performing these operations, we have:
3^3 + 3^2 - 2 + |3| - |-6| = ?
Step 5: Evaluate the absolute values.
|3| = 3 (since the absolute value of 3 is 3)
|-6| = 6 (since the absolute value of -6 is 6)
Substituting these values back into the expression, we get:
3^3 + 3^2 - 2 + 3 - 6 = ?
Step 6: Evaluate any remaining additions or subtractions.
Performing the remaining operations:
3^3 = 27 (since 3 cubed is 27)
3^2 = 9 (since 3 squared is 9)
Substituting these values back into the expression, we have:
27 + 9 - 2 + 3 - 6 = ?
Step 7: Perform the final addition and subtraction.
Adding and subtracting the remaining numbers, we get:
27 + 9 - 2 + 3 - 6 = 31
Therefore, the solution to the given expression is 31.