Select the correct arithmetic symbols that satisfy the equation:

28 _ 66 _ 25 _ 55 _ 14 = 21

Options:
(1) + × ÷ -
(2) × - ÷ +
(3) - × ÷ +
(4) + - × ÷

To solve the problem and determine the correct arithmetic symbols to satisfy the equation 28_66_25_55_14 = 21 , we need to test each set of operations given in the options:
Option 1: + × ÷ − 28 + 66 × 25 ÷ 55 − 14 = 21 Following the order of operations (PEMDAS/BODMAS):

First, we calculate multiplication and division from left to right.
66 × 25 = 1650
1650 ÷ 55 ≈ 30
Then perform addition and subtraction:
28 + 30 = 58
58 − 14 = 44 , which is not equal to 21.

Option 2: × − ÷ + 28 × 66 − 25 ÷ 55 + 14 = 21 Following the order of operations:

28 × 66 = 1848
25 ÷ 55 ≈ 0.4545
1848 − 0.4545 = 1847.5455
1847.5455 + 14 = 1861.5455 , which is not equal to 21.

Option 3: − × ÷ + 28 − 66 × 25 ÷ 55 + 14 = 21 Following the order of operations:

66 × 25 = 1650
1650 ÷ 55 = 30
28 − 30 = − 2
− 2 + 14 = 12 , which is not equal to 21.

Option 4: + − × ÷ 28 + 66 − 25 × 55 ÷ 14 = 21 Following the order of operations:

25 × 55 = 1375
1375 ÷ 14 ≈ 98.2143
66 − 98.2143 = − 32.2143
28 + ( − 32.2143 ) = − 4.2143 , which is not equal to 21.

Upon reviewing each option, none seems to correctly solve the equation. Therefore, it's possible there was an issue with the problem or the provided choices. Based on calculations, none of the provided options result in the equation equaling 21.

Answered by AvaCharlotteMiller | 2025-07-06