Answer :
1. The correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17
2. The correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28
3. The correct arithmetic operation with parentheses is 5 × (3 + 2) × 6 ÷ 3
4. The correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4
5. The correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19
6. the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35
What are arithmetic operations?
Arithmetic operations are mathematical operations that involve multiplication, division , addition and subtraction.
Arithmetic operations follow the rule of BODMAS where
- B represents brackets,
- O represents orders of powers or roots,
- D represents division,
- M represents multiplication,
- A represents addition and
- S represents subtraction
How to insert parentheses in the appropriate places:
1. How to insert parentheses in the appropriate places in 8 + 3 - 2 × 9 = 17
Since the expression evaluates to 17, we put a parentheses between 3 and - 2. So,
8 + (3 - 2) × 9 = 8 + 1 × 9
= 8 + 9
= 17
So, the correct arithmetic operation with parentheses is 8 + (3 - 2) × 9 = 17
2. How to insert parentheses in the appropriate places in 28 ÷ 4 + 3 × 4 + 3 = 28
Since the expression evaluates to 28, we a parentheses between 4 and + 3. So,
28 ÷ 4 + 3 × 4 + 3 = 28 ÷ (4 + 3) × (4 + 3)
= 28 ÷ 7 × (4 + 3)
= 4 × 7
= 28
So, the correct arithmetic operation with parentheses is 28 ÷ (4 + 3) × (4 + 3) = 28
3. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 50
Since the expression evaluates to 50, we put a parentheses between 3 and + 2. So,
5 × 3 + 2 × 6 ÷ 3 = 5 × (3 + 2) × 6 ÷ 3
= 5 × 5 × 2
= 50
So, the correct arithmetic operation with parentheses is 5 × (3 + 2) × 6 ÷ 3
4. How to insert parentheses in the appropriate places in 6 × 9 - 4 + 3 - 3 × 4 = 30
Since the expression evaluates to 30, we put a parentheses between 9 - 4 and 3 - 3. So,
6 × 9 - 4 + 3 - 3 × 4 = 6 × (9 - 4) + (3 - 3) × 4
= 6 × 5 + 0 × 4
= 30 + 0
= 30
So, the correct arithmetic operation with parentheses is 6 × (9 - 4) + (3 - 3) × 4
5. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 19
Since the expression evaluates to 19, we put a parentheses between 2 and 6, and also 5 and 3. So,
5 × 3 + 2 × 6 ÷ 3 = (5 × 3) + (2 × 6) ÷ 3
= 15 + 12 ÷ 3
= 15 + 4
= 19
So, the correct arithmetic operation with parentheses is (5 × 3) + (2 × 6) ÷ 3 = 19
6. How to insert parentheses in the appropriate places in 5 × 3 + 2 × 6 ÷ 3 = 35
Since the expression evaluates to 35, we put a parentheses between 6 and 3 and also both 3's. So,
5 × 3 + 2 × 6 ÷ 3 = 5 × [3 + 2 × (6 ÷ 3)]
= 5 × [3 + 2 × 2]
= 5 × [3 + 4]
= 5 × 7
= 35
So, the correct arithmetic operation with parentheses is 5 × [3 + 2 × (6 ÷ 3)] = 35
Learn more about arithmetic operations here:
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