I am trying to help my grandson with his math homework. When I went to school we never learned this and I am at a loss. The question is:
Create an equivalent expression at includes at least one parenthesis so that the value of the expression is 144.
The expression is
4+5x17-3 divided by 1/2
4+5x(17-3)/(1/2)
= 4+5x14/(1/2)
= 4+5x28
= 4+140
= 144
To create an equivalent expression that includes at least one parenthesis and equals 144, you need to follow the order of operations (also known as PEMDAS). PEMDAS stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).
Let's break down the given expression step by step:
1. First, we have the multiplication operation: 5 multiplied by 17, which equals 85.
2. Next, we have the division operation: 3 divided by 1/2. To divide by a fraction, you invert the fraction and multiply. So, 3 divided by 1/2 is the same as 3 multiplied by 2/1, which equals 6.
3. Now, we have the addition and subtraction operations left. From left to right, we have 4 + 85 - 6.
To create an equivalent expression that equals 144, we need to add parentheses to adjust the order of operations. We can place parentheses around the addition and subtraction operations to ensure they are performed first. Let's put parentheses around 4 + 85:
(4 + 85) - 6
Now, we need to simplify this expression further:
1. Inside the parentheses, 4 + 85 equals 89.
2. So now we have 89 - 6.
Finally, we perform the subtraction operation:
89 - 6 equals 83.
Therefore, the equivalent expression with parentheses that equals 144 is:
(4 + 85) - 6 = 83