Order 467, 647, 476, 764, 674, and 746 from greatest to least.
The first thing we wanna do is make a place value chart so that we can compare all six of these numbers: 467, 647, 476, 764, 674, and 746. To go from greatest to least means we’re going from the biggest values to the smallest values. To compare values, we always start with the digit in the largest place value.
In our case, the largest place value of all six of these numbers is the hundreds place. We need to find the number with the biggest value in the hundreds place. Two of our numbers have sevens in the hundreds place. In order to figure out which of these numbers is larger, we’ll need to move from the hundreds place to the tens place.
Which of these numbers has the larger digit in the tens place? 764 has a larger digit in the tens place than 746. This tells us that 764 is the largest of our six values and that 746 is the second largest. Now that we have eliminated two of our numbers, we need to go back to the hundreds place and look for the next largest digit.
After the sevens, we see two sixes in the hundreds place. We need to follow the same procedure and move from the hundreds place to the tens place. For our two six hundredths, we need to know which of them have a larger digit in the tens place. 674 has a larger digit in the tens place than 647. That tells us that 674 is the third largest value and 647 is the fourth largest value.
One final time we’ll look at the hundreds place and we see two four hundredths. So we’ll move from the hundreds place to the tens place. 476 has a larger digit in the tens place than 467. 476 comes next in our list from greatest to least, making 467 the smallest value on our list.
Moving from the top of our list to the bottom, we have found the order of greatest to least.