To make the expression \( 8 - 3 - 1^3 \) equal to 6 by adding parentheses, you need to change the order of operations. The key is to achieve the desired result by grouping certain parts of the expression.
Let's try adding parentheses to different parts of the expression:
1. Consider \( 8 - (3 - 1)^3 \):
First, evaluate the expression inside the parentheses and then the exponent:
\[
(3 - 1) = 2
\]
Next, we calculate the exponent:
\[
2^3 = 8
\]
Now, the expression looks like this:
\[
8 - 8 = 0
\]
Which is not correct.
2. Consider \( (8 - 3 - 1)^3 \):
First, evaluate the expression inside the parentheses:
\[
(8 - 3 - 1) = 4
\]
Next, we calculate the exponent:
\[
4^3 = 64
\]
Which is not correct.
3. Consider \( 8 - (3 - 1^3) \):
First, calculate the exponent:
\[
1^3 = 1
\]
Next, evaluate the expression inside the parentheses:
\[
(3 - 1) = 2
\]
Finally, perform the subtraction:
\[
8 - 2 = 6
\]
This is correct.
So, the correct placement of parentheses to make the expression equal to 6 is:
\[
8 - (3 - 1^3)
\]
8-3-1^3 add () to make it 6
1 answer