Question

Consider the numbers 5s, 5.2, 5.02, 54, and 5.333. Order the numbers from least to greatest. Write each of the fractions as a decimal, and each of the decimals as a fraction in simplest form.

A) 5.02, 5s, 5.2, 5.333, 54; Fractions: 5/1, 1/5, 26/5, 16/3, 160/3
B) 5s, 5.02, 5.2, 5.333, 54; Fractions: 1/5, 26/5, 16/3, 160/3, 5/1
C) 5s, 5.02, 5.2, 54, 5.333; Fractions: 1/5, 26/5, 16/3, 160/3, 5/1
D) 5.02, 5s, 5.333, 5.2, 54; Fractions: 5/1, 1/5, 160/3, 26/5, 16/3

Answer 1

To order the given numbers from least to greatest, we compare their values. The order is 5s, 5.02, 5.2, 5.333, 54. The fractions as decimals are 5.0, 0.2, 5.2, 5.333, 53.333. The decimals as fractions in simplest form are 251/50, 26/5, 16/3, 54/1.

Step-by-step explanation:

To order the given numbers from least to greatest, we need to compare their values. The numbers are:

• 5s
• 5.2
• 5.02
• 54
• 5.333

From the list, we can see that the order from least to greatest is:

1. 5s
2. 5.02
3. 5.2
4. 5.333
5. 54

To write the fractions as decimals, we convert them by dividing the numerator by the denominator:

• 5/1 = 5.0
• 1/5 = 0.2
• 26/5 = 5.2
• 16/3 ≈ 5.333
• 160/3 ≈ 53.333

To write the decimals as fractions in simplest form, we use the following steps:

• 5.02 = 5 + 2/100 = 502/100 = 251/50
• 5.2 = 5 + 2/10 = 52/10 = 26/5
• 5.333 ≈ 5 + 0.333 ≈ 5 + 1/3 = 16/3
• 54 = 54/1