Insert symbols from order of operations to make the statements true:
14 2 5 5 = 10
2 8 9 5 = 34
40 8 7 3 =32
To make the statements true using the order of operations, you need to insert parentheses in the correct places. The order of operations states that you should perform operations inside parentheses first, followed by exponents, then multiplication and division (from left to right), and finally addition and subtraction (from left to right).
Let's work on each statement one by one:
1. 14 2 5 5 = 10
To make this equation true, we can insert parentheses around the numbers as follows:
(14 - 2) × (5 ÷ 5) = 10
Explanation:
First, we subtract 2 from 14 to get 12.
Next, we divide 5 by 5 to get 1.
Finally, we multiply 12 by 1, which equals 12, not 10.
Therefore, it is not possible to make this statement true with the given numbers.
2. 2 8 9 5 = 34
To make this equation true, we can insert parentheses around the numbers as follows:
2 × (8 + 9) - 5 = 34
Explanation:
First, we add 8 and 9 to get 17.
Next, we multiply 2 by 17, which equals 34.
Finally, we subtract 5 from 34, giving us the desired result of 34.
Therefore, the given statement is true when using the parentheses as indicated.
3. 40 8 7 3 = 32
To make this equation true, we can insert parentheses around the numbers as follows:
(40 ÷ 8) - (7 - 3) = 32
Explanation:
First, we divide 40 by 8 to get 5.
Next, we subtract 7 from 3 to get -4.
Finally, we subtract -4 from 5, which equals 9, not 32.
Therefore, it is not possible to make this statement true with the given numbers.
In summary, only the second statement can be made true using parentheses according to the order of operations.