Final answer:
To order the numbers 9.059, 9.59, 9.5961, and 9.7 from least to greatest, compare each digit starting from the left, revealing the order: 9.059, 9.59, 9.5961, 9.7.
Step-by-step explanation:
To order the numbers 9.059, 9.59, 9.7, 9.5961 from least to greatest, we need to compare them digit by digit, starting from the left (or the most significant digit). Here's how we do it:
- First, we look at the digit in the ones place - they are all the same for these numbers (all 9).
- Next, we look at the tenths place, and they are also the same.
- The differences start to appear in the hundredths place. Here we have 0 (9.0059), 5 (9.59), 7 (9.7), and 5 again (9.5961). We immediately know that 9.7 is the greatest because 7 is the highest number in this place.
- Now we differentiate between 9.059, 9.59, and 9.5961, all of which have a 5 in the hundredths place. We move to the thousandths place to see the differences:
- For 9.059, we have 5 in the thousandths place. For 9.59, there is no digit here, which implies it's 0. For 9.5961, we have 9.
- So, 9.59 is greater than 9.059 because 0 is less than 5, and 9.5961 is greater than both because 9 is the highest digit.
- Finally, we compare 9.5961 and 9.7. We already know that 9.7 is the greatest, thus placing 9.5961 just before it.
Ordered from least to greatest, the numbers are: 9.059, 9.59, 9.5961, 9.7.