This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions for Exercise 15c:
Step 1: Calculate $18 - 6 \times 2$
First, perform the multiplication:
$$ 18 - (6 \times 2) = 18 - 12 $$
Then, perform the subtraction:
$$ 18 - 12 = 6 $$
The value is $\boxed{6}$.
Step 2: Calculate $12 \div 4 + 2$
First, perform the division:
$$ (12 \div 4) + 2 = 3 + 2 $$
Then, perform the addition:
$$ 3 + 2 = 5 $$
The value is $\boxed{5}$.
Step 3: Calculate $6 - 18 \div 3$
First, perform the division:
$$ 6 - (18 \div 3) = 6 - 6 $$
Then, perform the subtraction:
$$ 6 - 6 = 0 $$
The value is $\boxed{0}$.
Step 4: Calculate $4 \times 5 + 8 \div 4$
First, perform multiplication and division from left to right:
$$ (4 \times 5) + (8 \div 4) = 20 + 2 $$
Then, perform the addition:
$$ 20 + 2 = 22 $$
The value is $\boxed{22}$.
Step 5: Calculate $16 \div 2 - 3 \times 2$
First, perform division and multiplication from left to right:
$$ (16 \div 2) - (3 \times 2) = 8 - 6 $$
Then, perform the subtraction:
$$ 8 - 6 = 2 $$
The value is $\boxed{2}$.
Step 6: Calculate $7 \times 3 + 27 \div 9$
First, perform multiplication and division from left to right:
$$ (7 \times 3) + (27 \div 9) = 21 + 3 $$
Then, perform the addition:
$$ 21 + 3 = 24 $$
The value is $\boxed{24}$.
Step 7: Calculate $(5 + 3) + 3 \times 5$
First, perform the operation inside the parentheses:
$$ (8) + 3 \times 5 $$
Next, perform the multiplication:
$$ 8 + (3 \times 5) = 8 + 15 $$
Then, perform the addition:
$$ 8 + 15 = 23 $$
The value is $\boxed{23}$.
Step 8: Calculate $5 + (3 + 3) \times 5$
First, perform the operation inside the parentheses:
$$ 5 + (6) \times 5 $$
Next, perform the multiplication:
$$ 5 + (6 \times 5) = 5 + 30 $$
Then, perform the addition:
$$ 5 + 30 = 35 $$
The value is $\boxed{35}$.
Step 9: Calculate $4 \times 6 - (7 - 3)$
First, perform the operation inside the parentheses:
$$ 4 \times 6 - (4) $$
Next, perform the multiplication:
$$ (4 \times 6) - 4 = 24 - 4 $$
Then, perform the subtraction:
$$ 24 - 4 = 20 $$
The value is $\boxed{20}$.
Step 10: Calculate $8 \times 3 - 17 + 15 \div 5$
First, perform multiplication and division from left to right:
$$ (8 \times 3) - 17 + (15 \div 5) = 24 - 17 + 3 $$
Next, perform addition and subtraction from left to right:
$$ (24 - 17) + 3 = 7 + 3 $$
Then, perform the addition:
$$ 7 + 3 = 10 $$
The value is $\boxed{10}$.
Step 11: Calculate $28 \div 4 + 2 - 2 \times 4$
First, perform division and multiplication from left to right:
$$ (28 \div 4) + 2 - (2 \times 4) = 7 + 2 - 8 $$
Next, perform addition and subtraction from left to right:
$$ (7 + 2) - 8 = 9 - 8 $$
Then, perform the subtraction:
$$ 9 - 8 = 1 $$
The value is $\boxed{1}$.
Step 12: Calculate $6 \times 2 - 2 - 40 \div 4$
First, perform multiplication and division from left to right:
$$ (6 \times 2) - 2 - (40 \div 4) = 12 - 2 - 10 $$
Next, perform addition and subtraction from left to right:
$$ (12 - 2) - 10 = 10 - 10 $$
Then, perform the subtraction:
$$ 10 - 10 = 0 $$
The value is $\boxed{0}$.
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