Question

Move the numbers to the blanks to order them from least to greatest value.

-0.1
|8/7|
3
-4/5
0.85

Answer 1

To order the numbers -0.1, |8/7|, 3, -4/5, 0.85 from least to greatest: evaluate them as -0.1, -0.8, 0.85, 1.14, and 3 respectively. The ordered list is -0.1, -0.8( or -4/5), 0.85, 1.14 (or |8/7|), and 3.

Step-by-step explanation:

To order the given numbers from least to greatest value, we first evaluate the absolute value and convert mixed numbers to improper fractions if necessary, and compare the numbers. The numbers provided are -0.1, |8/7|, 3, -4/5, and 0.85. The absolute value of 8/7 is just 8/7 since it is already positive and equals approximately 1.14.

• The first number is -0.1, this is a negative number and is the smallest in the list.
• Next is -4/5 or -0.8, again negative and larger than -0.1.
• The remaining numbers are all positive. The smallest positive number here is 0.85, followed by the absolute value of 8/7 (approximately 1.14).
• The largest number is 3.

Therefore, the numbers in order from least to greatest are -0.1, -4/5, 0.85, |8/7|, and 3.