Insert grouping symbols to make each statement true.
4 • 2 - 2 to the power of 2 ➗ 9 + 2 = 6
(4*2-2)^2/9+2 = 6
4·8-3=20
To insert grouping symbols to make the statement true, let's break down the expression step by step.
4 • 2 - 2^2 ➗ 9 + 2 = 6
We first need to evaluate the exponent, which is 2^2. This gives us:
4 • 2 - 4 ➗ 9 + 2 = 6
Next, we need to perform the multiplication, which is 4 • 2:
8 - 4 ➗ 9 + 2 = 6
Now, let's handle the division, which is 4 ➗ 9:
8 - 0.444... + 2 = 6
Since 0.444... is a never-ending decimal, we can round it to a sensible decimal place. Let's round it to 0.444.
8 - 0.444 + 2 = 6
Now, let's simplify the addition and subtraction:
9.556 = 6
As this is not true, we need to adjust the grouping symbols. To make the statement true, we can group (4 • 2) and (2^2) separately, and also group (4 ➗ 9) and (2) together.
((4 • 2) - (2^2)) ➗ (9 + 2) = 6
Now, let's evaluate the grouped expressions:
(8 - 4) ➗ (9 + 2) = 6
4 ➗ 11 = 6
Since 4 divided by 11 is not equal to 6, we need to try another approach to make the statement true. It seems that the given expression doesn't have a valid grouping that turns it into a true statement.