How do you make the sentence 8 × 16 +12 - 4 ÷ 2 equal to 160 with parentheses and brackets
Please help i get it know
8 x [16 + (12-4) / 2]
8 x (16 + 8/2)
8 x (16 + 4)
8 x 20
160
To make the sentence "8 × 16 + 12 - 4 ÷ 2" equal to 160 using parentheses and brackets, we need to group the operations correctly.
First, let's work through the expression without parentheses or brackets to see the initial result:
8 × 16 + 12 - 4 ÷ 2
Step 1: Multiply 8 by 16
8 × 16 = 128
Step 2: Add 12 to the result
128 + 12 = 140
Step 3: Divide 4 by 2
4 ÷ 2 = 2
Step 4: Subtract 2 from the result
140 - 2 = 138
So, without any parentheses or brackets, the sentence evaluates to 138.
To make it equal to 160, we need to adjust the grouping by using parentheses and brackets. Here's one way to achieve that:
1. Rewrite the expression by adding parentheses: (8 × (16 + 12)) - (4 ÷ 2)
2. Evaluate the expressions inside the parentheses and brackets first:
- (16 + 12) = 28
- (4 ÷ 2) = 2
After performing these operations, we have:
8 × 28 - 2
3. Multiply 8 by 28:
8 × 28 = 224
4. Subtract 2 from 224:
224 - 2 = 222
So, by grouping the operations with parentheses and brackets, the expression evaluates to 222, not 160. Therefore, it is not possible to make the given sentence equal to 160 using parentheses and brackets.