Question

To order the given values from least to greatest:

1. 1.2 x 10^-2 (0.012)
2. 0.12
3. 1/10 (0.1)
4. 3^-2 (1/9 or approximately 0.111...)
5. √3 (approximately 1.732...)
6. 120% (1.2)

Answer 1

To order the values from least to greatest, convert them into their decimal forms and arrange them accordingly. The values in ascending order are 0.012, 0.1, approximately 0.111..., 0.12, 1.2, and approximately 1.732...

Step-by-step explanation:

To order the given values from least to greatest, we first need to understand each value's position on the number line. Let's examine each value and convert them into a common format for comparison:

1. 1.2 x 10-2 (0.012)
2. 0.12
3. 1/10 (0.1)
4. 3-2 (1/9 or approximately 0.111...)
5. √3 (approximately 1.732...)
6. 120% (1.2)

Now let's compare the decimal forms of each:

1. 0.012
2. 0.12
3. 0.1
4. Approximately 0.111...
5. Approximately 1.732...
6. 1.2

The decimal point in scientific notation indicates the number of places it moves from its original position, with negative exponents moving the decimal to the left and positive exponents to the right. After comparing the decimal forms of each number, we can arrange them from least to greatest:

1. 0.012
2. 0.1
3. Approximately 0.111...
4. 0.12
5. 1.2
6. Approximately 1.732...