Parentheses are placed differently in each of the following expressions. Drag the tiles to match the correct answer with each of the expressions. Tiles may be used once, more than once, or not at all.
162888196
30
−
2
×
3
+
4
=
(
30
−
2
)
×
3
+
4
=
30
−
2
×
(
3
+
4
)
=
(
30
−
2
)
×
(
3
+
4
)
=
- The expression 162888196 does not involve any parentheses, so the tile "No Parentheses" can be matched with it.
- To correctly match the remaining expressions with their corresponding use of parentheses, we need to use the order of operations (PEMDAS or BODMAS):
- Parentheses should be evaluated first, followed by Exponents, then Multiplication or Division (from left to right), and finally Addition or Subtraction (from left to right).
- The expression 30 - 2 × 3 + 4 can be rewritten as (30 - 2) × 3 + 4, where the parentheses change the order of operations by indicating that 30 should be subtracted from 2 first, and then the result should be multiplied by 3 and added to 4. Therefore, the tile "Parentheses around subtraction" can be matched with this expression.
- The expression 30 - 2 × (3 + 4) can be rewritten as 30 - 2 × 7, where the parentheses change the order of operations by indicating that 3 and 4 should be added first, and then the result should be multiplied by 2 and subtracted from 30. Therefore, the tile "Parentheses around addition" can be matched with this expression.
- The expression (30 - 2) × (3 + 4) involves parentheses around both the subtraction and the addition, which means that both operations should be evaluated first before any multiplication is done. Therefore, the tile "Parentheses around both addition and subtraction" can be matched with this expression.
simpler pls
To match the expressions with their corresponding use of parentheses:
- No parentheses are used in the expression 162888196.
- Parentheses are used to group the subtraction first in the expression (30 - 2) × 3 + 4.
- Parentheses are used to group the addition first in the expression 30 - 2 × (3 + 4).
- Parentheses are used to group both the addition and subtraction first in the expression (30 - 2) × (3 + 4).
162888196: No parentheses needed for this expression.
30-2×3+4 = (30-2)×3+4: Parentheses are placed around 30-2 to indicate that this should be calculated first.
30-2×(3+4) = (30-2)×(3+4): Parentheses are placed around 3+4 to indicate that this should be calculated first.