Lesson 3: Compare Decimals — Practice Questions

1. 1. On a number line, decimal $p$ is located to the left of decimal $q$. Which statement correctly compares the two decimals?

   • A. $p > q$
   • B. $p < q$
   • C. $p = q$
   • D. The relationship cannot be determined.

2. 2. On a number line, $0.8$ is to the right of $0.3$. Fill in the blank with the correct symbol ($>, <,$ or $=$) to make the statement true: $0.8$ ___ $0.3$.

3. 3. Which of the following decimals would be located to the right of $0.65$ on a number line?

   • A. 0.6
   • B. 0.55
   • C. 0.68
   • D. 0.61

4. 4. On a number line, $0.72$ is to the left of $0.77$. Complete the inequality: $0.72 <$ ___.

5. 5. If the inequality $a > b$ is true, what can you conclude about the positions of decimals $a$ and $b$ on a number line?

   • A. $a$ is to the left of $b$.
   • B. $a$ is to the right of $b$.
   • C. $a$ and $b$ are at the same point.
   • D. $a$ is below $b$.

6. 6. Compare the decimals $0.8$ and $0.75$. On a number line, $0.8$ is to the right of $0.75$. Therefore, $0.8$ ___ $0.75$.

7. 7. Consider the decimals $0.5$ and $0.45$. Which statement correctly describes their relationship on a number line?

   • A. $0.5$ is to the left of $0.45$, so $0.5 < 0.45$.
   • B. $0.5$ is to the right of $0.45$, so $0.5 > 0.45$.
   • C. $0.5$ is at the same position as $0.45$.
   • D. $0.45$ is to the right of $0.5$, so $0.45 > 0.5$.

8. 8. Use $>, <,$ or $=$ to compare the decimals: $0.91$ ___ $0.99$. On a number line, $0.91$ is to the left of $0.99$.

9. 9. Using an area model, which comparison is correct? Shading 7 columns of a 10x10 grid represents a larger area than shading 3 columns.

   • A. $0.7 < 0.3$
   • B. $0.7 > 0.3$
   • C. $0.7 = 0.3$
   • D. Cannot be determined

10. 10. On a 10x10 grid, 62 squares are shaded to show $0.62$, and 68 squares are shaded to show $0.68$. Complete the comparison: $0.62$ ___ $0.68$.