Question

Gloria simplified each of the expressions shown. What is the difference between the values of the two expression

3×(12−9)+10.
3×12-9+10

a) 9
b) 12
c) 18
d) 22

Answer 1

The difference between the evaluated expressions 3×(12−9)+10 and 3×12-9+10 is 18, after following the order of operations for each and then subtracting the results from each other.

Step-by-step explanation:

The question asks to calculate the difference between the values of two similar expressions: 3×(12−9)+10 and 3×12-9+10. To find the difference, we first evaluate both expressions separately.

For the first expression, 3×(12−9)+10, we follow the order of operations - parentheses first:

• Inside the parentheses: 12 - 9 = 3
• Multiply by 3: 3 × 3 = 9
• Add 10: 9 + 10 = 19

For the second expression, 3×12-9+10, we also follow the order of operations - multiplication before addition and subtraction:

• Multiply by 3: 3 × 12 = 36
• Subtract 9: 36 - 9 = 27
• Add 10: 27 + 10 = 37

Now, let's find the difference between the two values:

• Difference: 37 - 19 = 18

The difference between the values of the two expressions is 18, which corresponds to choice (c).