Order the numbers from least to greatest.
0, -4/7, -1/3, 0.1, -0.1
-4/7, -1/3, -0.1, 0, 0.1
To order these numbers from least to greatest, we will arrange them in ascending order:
-4/7, -1/3, -0.1, 0, 0.1
To order the numbers from least to greatest, you need to compare their values and arrange them in ascending order.
Let's compare the numbers one by one:
0 is equal to 0, so we can put it aside for now.
Next, let's compare -4/7 and -1/3:
To compare two fractions, we can use the fact that when two fractions have a common denominator, the fraction with the smaller numerator is the smaller fraction. To make the denominators of -4/7 and -1/3 the same, we need to find the least common multiple (LCM) of 7 and 3, which is 21.
Converting -4/7 and -1/3 to fractions with a common denominator of 21, we get:
-4/7 = -12/21
-1/3 = -7/21
Now we can see that -7/21 is smaller than -12/21, so -7/21 is the smaller value.
Next, let's compare 0.1 and -0.1:
Since 0.1 is positive and -0.1 is negative, we know that -0.1 is smaller.
Now, we can put the numbers in order from least to greatest:
-7/21, -0.1, 0, -4/7, -1/3
So, the ordered numbers are: -7/21, -0.1, 0, -4/7, -1/3.