Question

Add parentheses to make the equation true. 80-36÷2+6-2×5+1=44

Answer 1

Add parentheses to make the equation true is
`80 - (36 / 2 + 6) - 2 * (5 + 1) = 44`

Solution:

Add parentheses to make the equation true

`80 - 36 / 2 + 6 - 2 * 5 + 1 = 44`

We have to add parentheses in L.H.S of above equation so that we get the solution as 44 in R.HS

Let us use trial and error method

Let us add parantheses before 36 and end up after 6 and add parantheses before 5 and end up after 1

`80 - (36 / 2 + 6) - 2 * (5 + 1) = 44`

Now let us check whether the above formed equation with parantheses makes the equation true

Let us check using BODMAS rule

According to Bodmas rule, if an expression contains brackets ((), {}, []) we have to first solve or simplify the bracket followed by of (powers and roots etc.), then division, multiplication, addition and subtraction from left to right

In
`80 - (36 / 2 + 6) - 2 * (5 + 1) = 44` let us first solve for brackets

`80 - (36 / 2 + 6) - 2 * 6 = 44\\\\80 - (18 + 6) - 2 * 6 = 44\\\\80 - 24 - 2 * 6 = 44`

Now perform multiplication

`80 - 24 - 12 = 44\\\\80 - 36 = 44 \\\\44 = 44`

Thus the equation is true

So add parantheses before 36 and end up after 6 and add parantheses before 5 and end up after 1 is correct

`80 - (36 / 2 + 6) - 2 * (5 + 1) = 44`