Question

Consider the expression 25 – 10 ÷ 2 + 3.

Answer 1

Given:

The expression is:

$25-10\div 2+3$

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

$(25-10)\div 2+3=15\div 2+3$

$(25-10)\div 2+3=7.5+3$                       [Using BODMAS]

$(25-10)\div 2+3=10.5$

In option B,

$25-10\div (2+3)=25-10\div 5$

$25-10\div (2+3)=25-2$                      [Using BODMAS]

$25-10\div (2+3)=23$

In option C,

$(25-10)\div (2+3)=15\div 5$

$(25-10)\div (2+3)=3$

In option D,

$25-(10\div 2)+3=25-5+3$

$25-(10\div 2)+3=28-5$                     [Using BODMAS]

$25-(10\div 2)+3=23$

After the calculation, we have $25-10\div (2+3)=23$ and $25-(10\div 2)+3=23$.

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

$(25-10)\div (2+3)=3$

Therefore, the correct option is C.