Question

Arrange the following list of numbers into ascending order: 20/7 √49 √400 ∛125 ∛700 and √4 .

Answer 1

To arrange numbers in ascending order, simplify each to understand their values. Fraction 20/7=2.857, √49=7, √400=20, ∛125=5, ∛700≈8.879, √4=2. Ordered in ascending: √4, √49, ∛125, 20/7, ∛700, √400.

Step-by-step explanation:

To arrange the numbers in ascending order, we first need to simplify each one to understand their values. The numbers are given in different forms: fractions, square roots, and cube roots.

• The fraction 20/7 is just a division which equals roughly 2.857.
• The square root of 49, denoted as √49, is 7 because 7 x 7 = 49.
• The square root of 400, or √400, is 20 since 20 x 20 = 400.
• The cube root of 125, represented as ∛125, is 5 because 5 x 5 x 5 = 125.
• The cube root of 700, or ∛700, is approximately 8.879, which is the number that when cubed gives 700.
• The square root of 4, which is √4, is 2 as 2 x 2 = 4.

Now that we have simplified the numbers, we can arrange them in ascending order like this:

1. √4 (2)
2. √49 (7)
3. ∛125 (5)
4. 20/7 (2.857)
5. ∛700 (8.879)
6. √400 (20)