Sure, let's solve these expressions step-by-step.
### (3) [tex]\( 12 - 3 + 8 \div 6 \times 3 \)[/tex]
1. First, perform the division operation inside the expression:
[tex]\( 8 \div 6 \approx 1.3333 \)[/tex]
2. Next, perform the multiplication:
[tex]\( 1.3333 \times 3 = 4.0 \)[/tex]
3. Now, proceed with the subtraction and addition from left to right:
[tex]\( 12 - 3 = 9 \)[/tex]
[tex]\( 9 + 4.0 = 13.0 \)[/tex]
So, the result of [tex]\( 12 - 3 + 8 \div 6 \times 3 \)[/tex] is [tex]\( 13.0 \)[/tex].
### (2) [tex]\( 7 \times 1 - (3 + 8) \)[/tex]
1. First, evaluate the parentheses:
[tex]\( 3 + 8 = 11 \)[/tex]
2. Perform the multiplication:
[tex]\( 7 \times 1 = 7 \)[/tex]
3. Finally, subtract the result inside the parentheses from the multiplication result:
[tex]\( 7 - 11 = -4 \)[/tex]
So, the result of [tex]\( 7 \times 1 - (3 + 8) \)[/tex] is [tex]\( -4 \)[/tex].
### (2) [tex]\( 18 - 12 \div 6 + 7 \)[/tex]
1. First, perform the division operation inside the expression:
[tex]\( 12 \div 6 = 2 \)[/tex]
2. Next, proceed with the subtraction:
[tex]\( 18 - 2 = 16 \)[/tex]
3. Lastly, add the last term:
[tex]\( 16 + 7 = 23 \)[/tex]
So, the result of [tex]\( 18 - 12 \div 6 + 7 \)[/tex] is [tex]\( 23.0 \)[/tex].
To summarize:
1. [tex]\( 12 - 3 + 8 \div 6 \times 3 = 13.0 \)[/tex]
2. [tex]\( 7 \times 1 - (3 + 8) = -4 \)[/tex]
3. [tex]\( 18 - 12 \div 6 + 7 = 23.0 \)[/tex]
