Equivalent expression are the expression which has the same result but the way of representation of both the expressions is different.
the equation [tex]2\times(9+7)[/tex] is equivalent to the given expression. Thus the option B is the correct option.
Given information-
The given number in the problem is 32.
The expression which is equal to the above equation has to be find out.
What is equivalent expression?
Equivalent expression are the expression which has the same result but the way of representation of both the expressions is different.
- A)The expression given in the option A is,
[tex](30+6)\div 3[/tex]
Solve it further,
[tex](30+6)\div3=(36)\div3\\(30+6)\div3=\dfrac{36}{3} \\(30+6)\div3=12[/tex]
As,
[tex]12\neq 32[/tex]
Thus this expression is not equivalent to the given number.
- B)The expression given in the option B is,
[tex]2\times(9+7)[/tex]
Solve it further,
[tex]2\times(9+7)=2\times(16)\\2\times(9+7)=32[/tex]
As,
[tex]32=32[/tex]
Thus this expression is equivalent to the given number.
- C)The expression given in the option C is,
[tex]9\times(3+5)[/tex]
Solve it further,
[tex]9\times(3+5)=9\times(8)\\9\times(3+5)=72[/tex]
As,
[tex]72\neq 32[/tex]
Thus this expression is not equivalent to the given number.
- D)The expression given in the option D is,
[tex]6+2\times4[/tex]
Solve it further
[tex]6+2\times4=6+8\\6+2\times4=14[/tex]
As,
[tex]14\neq 32[/tex]
Thus this expression is not equivalent to the given number.
Hence the equation [tex]2\times(9+7)[/tex] is equivalent to the given expression. Thus the option B is the correct option.
Learn more about the equivalent expression here;
https://brainly.com/question/10628562
