yes. firstly , we needs to solve what 5.2 x 10 is. This will give us a number to then compare to 34. so , to solve 5.2 x 10 we must remember that the multiply sign means the number will get bigger. since we are multiplying 5.2 by 10, we must move to decimal point to the right by one space, because 10 has one 0. you can double check that you've moved the decimal point in the correct direction by seeing if the number becomes bigger or smaller. in this case the number must be bigger because of the multiply sign. therefore, 5.2 becomes 52. then, we must focus on the bigger/less than sign (</>). Imagine the sign is a crocodile and the crocodile is hungry. the crocodile wants to eat the bigger number. for the crocodile to eat the number, it's mouth needs to be open. therefore, the side where the crocodiles mouth is open must have the bigger number. in this case, we have the numbers 52 and 34. which is bigger? 52. so , the crocodile wants to eat 52. therefore, the sign is correct .