Question

directions: insert a + , - , × or ÷ symbol to make the sentence true.
1
112 15 __5 = 12
2
2 8 2 __4 = -14

Explanation:

Problem 1:

Step1: Test multiplication first

Calculate \( 11 \times 2 = 22 \).

Step2: Test subtraction next

Subtract 15 from 22: \( 22 - 15 = 7 \).

Step3: Test addition last

Add 5 to 7: \( 7 + 5 = 12 \), which matches the result. So the symbols are \( \times \), \( - \), \( + \).

Step1: Test subtraction first

Start with \( 2 - 8 = -6 \).

Step2: Test multiplication next

Multiply -6 by 2: \( -6 \times 2 = -12 \).

Step3: Test subtraction last

Subtract 4 from -12: \( -12 - 4 = -16 \), not -14. Let's try another order.

Step4: Test multiplication first

\( 8 \times 2 = 16 \).

Step5: Test subtraction

\( 2 - 16 = -14 \), then subtract 4? No, wait. Wait, \( 2 - 8 \times 2 - 4 \): first multiply \( 8 \times 2 = 16 \), then \( 2 - 16 = -14 \), then \( -14 - 4 = -18 \). No. Wait, \( 2 - 8 + 2 - 4 = -8 \). No. Wait, \( 2 \times 8 - 2 - 4 = 16 - 2 - 4 = 10 \). No. Wait, \( 2 - 8 \times 2 + 4 = 2 - 16 + 4 = -10 \). No. Wait, let's try \( 2 - 8 - 2 \times 4 \): \( 2 - 8 = -6 \), \( 2 \times 4 = 8 \), \( -6 - 8 = -14 \). Yes! So the symbols are \( - \), \( - \), \( \times \).

Answer:

\( 11 \times 2 - 15 + 5 = 12 \) (symbols: \( \times \), \( - \), \( + \))

Problem 2: