Expressions that involve multiplication and division are given. It is required to find the one which will result in the greatest value.
Recall that when a number is multiplied by a number less than 1, it reduces the number.
Recall also that when a number is divided by a number between 0 and 1, it increases the number.
Since in options A and B, the number 5 is multiplied by numbers less than 1 in both options, it follows that the number reduces. Hence, cannot result in the greatest value.
For options C and D, the number 5 is divided by numbers between 0 and 1. Hence, the number will increase.
Notice that when a number is divided by a number between 0 and 1, the smaller the number you are dividing with, the larger the result.
Since 0.3 is less than 0.4, it follows that 5÷0.3 will be larger.
Hence, the expression that will give the greatest value is 5÷0.3.
Option C is the correct answer.