Final answer:
The blank in the equation 10 ÷ blank = 0.06 is filled with 166.67. We arrive at this answer by rearranging the equation and performing the division 10 ÷ 0.06 to solve for the unknown value, which gives us the result of 166.67 as the number that completes the equation.
Step-by-step explanation:
The student is working with division and decimal representation, which is a mathematics question at the middle school level. To find the blank value in the equation 10 ÷ blank = 0.06, we need to rearrange the equation to solve for the blank (or unknown value). This can be done by dividing 10 by 0.06.
The equation 10 divided by 0.06 is equivalent to 10 ÷ 0.06 = 166.67. Therefore, the number that should be in the blank to make the equation true is 166.67. This is because 10 divided by 166.67 equals approximately 0.06.