Solved Problems: Putting Numbers in Order Least to Greatest

📚 Quick Study Guide

• 🔍 Understanding 'Least to Greatest': This means arranging numbers from the smallest value to the largest value. Think of it like climbing a staircase – you start on the lowest step and work your way up.
• 🔢 Negative Numbers: Remember that negative numbers are *smaller* than zero. The further away from zero a negative number is, the smaller it is (e.g., -5 is smaller than -2).
• 📊 Decimals and Fractions: Convert decimals and fractions to a common format (either all decimals or all fractions) to make comparison easier. For example, 0.5 is the same as $\frac{1}{2}$.
• 💡 Tips for Success:
  • Always double-check your work.
  • Use a number line as a visual aid.
  • Pay close attention to negative signs!
• 📝 Example: Arrange the following numbers from least to greatest: -3, 5, 0, -1, 2. * Solution: -3, -1, 0, 2, 5

Practice Quiz

1. Which of the following sets of numbers is ordered from least to greatest?
   1. -2, 0, -1, 3
   2. -1, 0, -2, 3
   3. -2, -1, 0, 3
   4. 0, -1, -2, 3
2. Arrange the following numbers from least to greatest: 4, -6, 2, -10
   1. 4, 2, -6, -10
   2. -10, -6, 2, 4
   3. -6, -10, 2, 4
   4. 2, 4, -6, -10
3. Which number is the smallest?
   1. 5
   2. -8
   3. 0
   4. 2
4. Which of the following lists is in ascending order?
   1. 10, 8, 6, 4
   2. -4, -2, 0, 2
   3. 5, 3, 1, -1
   4. 2, 0, -2, -4
5. Order the following from least to greatest: 0.5, 0.25, 0.75, 0.0
   1. 0.0, 0.25, 0.5, 0.75
   2. 0.75, 0.5, 0.25, 0.0
   3. 0.25, 0.0, 0.5, 0.75
   4. 0.5, 0.75, 0.0, 0.25
6. Which set of numbers is ordered correctly from least to greatest?
   1. $\frac{1}{4}$, $\frac{1}{2}$, $\frac{3}{4}$, 1
   2. 1, $\frac{3}{4}$, $\frac{1}{2}$, $\frac{1}{4}$
   3. $\frac{1}{2}$, $\frac{1}{4}$, 1, $\frac{3}{4}$
   4. $\frac{3}{4}$, 1, $\frac{1}{2}$, $\frac{1}{4}$
7. Arrange the following from least to greatest: -1.5, 2.0, -0.5, 1.0
   1. 2.0, 1.0, -0.5, -1.5
   2. -1.5, -0.5, 1.0, 2.0
   3. -0.5, -1.5, 1.0, 2.0
   4. 1.0, 2.0, -1.5, -0.5