place grouping symbols to make this statement true: 2 times 9 - 5 + 4 + 6 times 5 = 63
2 ∙ 9 - 5 + ( 4 + 6 ) ∙ 5
2 ∙ 9 - 5 + ( 4 + 6 ) ∙ 5 = 18 - 5 + 10 ∙ 5 = 13 + 50 = 63
To make the statement true, one possible way to place grouping symbols is as follows:
2 * (9 - 5 + 4) + (6 * 5) = 63
Explanation:
We want to ensure that the order of operations is followed correctly. The order of operations, also known as PEMDAS or BODMAS, states that we should perform calculations inside parentheses first, followed by exponents, multiplication, division, and finally addition and subtraction.
In the given statement, we first simplify the expression within each set of parentheses:
9 - 5 + 4 = 8
Next, we substitute the simplified expressions back into the original statement:
2 * 8 + 6 * 5 = 63
Now, we perform the multiplication and addition operations in order from left to right:
16 + 30 = 46
Therefore, the correct grouping of symbols is:
2 * (9 - 5 + 4) + (6 * 5) = 63