Final answer:
The correct order of the numbers from least to greatest is 0.106, 0.160, 0.3, 0.302, 0.32. We order decimal numbers by comparing each digit from left to right. So the correct answer to the student's question is option B.
Step-by-step explanation:
The subject of this question is ordering decimal numbers in ascending order or from least to greatest. When comparing decimal numbers, we start from the leftmost digit and compare each corresponding digit. If a digit on the left is larger, then the number is larger. Let's use these steps to order the decimal numbers provided in the question.
- 0.106: This number has only the '1' at the tenths place, making it the least.
- 0.160: It also has '1' at the tenths place, but '6' at the hundredths place which makes it greater than 0.106.
- 0.3: It has 3 at the tenths place, making it greater than the previous two numbers.
- 0.302: It also has '3' at the tenths place, but also has '2' at the thousandths place, making it slightly greater than 0.3.
- 0.32: This number has '3' at the tenths place and '2' at the hundredths place, making it the greatest of all the numbers.
So the correct order from least to greatest is: 0.106, 0.160, 0.3, 0.302, 0.32. Hence, the answer to the question 'Which of the following shows the numbers ordered from least to greatest?' is option B: 0.106, 0.160, 0.3, 0.302, 0.32.
Learn more about Ordering Decimal Numbers