Answer: The correct option is (B) (10-2)÷4.
Step-by-step explanation: We are to select the correct expression that represents a number that is one fourth as great as 10-2.
Let the required number be represented by x.
Then, according to the given information, we have
[tex]x=\dfrac{1}{4}(10-2)\\\\\\\Rightarrow x=\dfrac{10-2}{4}\\\\\Rightarrow x=(10-2)\div4.[/tex]
Thus, the required expression is (10-2)÷4.
Option (B) is CORRECT.
The correct option is B.
To determine which expression represent a number that is one fourth as great as 10-2 the following logical reasoning has to be made:
Given that a number is raised that is a quarter as large as (10-2), the result of this mathematical operation must be divided by 4.
Thus, since 10 minus 2 is equal to 8 and 8 divided by 4 gives 2, the division is necessary as a mathematical operation.
So, since the only option that raises a division is option B, that's the correct option.
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