the number system grade 6 examples

📚 Quick Study Guide

🔢 Natural Numbers: Counting numbers starting from 1 (1, 2, 3,...). They are positive whole numbers. ➕ Whole Numbers: Natural numbers including 0 (0, 1, 2, 3,...). ➖ Integers: Whole numbers and their negative counterparts (...-3, -2, -1, 0, 1, 2, 3,...). ➗ Rational Numbers: Numbers that can be expressed as a fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$. Examples: $\frac{1}{2}$, $0.75$, $-3$. 💯 Place Value: The value of a digit based on its position in a number (e.g., in 345, the place value of 3 is 300). 💡 Rounding: Approximating a number to a specified place value.

✏️ Practice Quiz

1. What type of number is -5?
   1. Natural number
   2. Whole number
   3. Integer
   4. Rational number
2. Which of the following is NOT a whole number?
   1. 0
   2. 5
   3. $\frac{10}{2}$
   4. $\frac{1}{2}$
3. Which number is a rational number?
   1. $\sqrt{2}$
   2. $\pi$
   3. 5
   4. None of the above
4. What is the place value of 7 in the number 372?
   1. 700
   2. 70
   3. 7
   4. 0.7
5. Round 45.67 to the nearest whole number.
   1. 45
   2. 46
   3. 45.7
   4. 45.6
6. Which of the following lists is ordered from least to greatest?
   1. -3, -1, 0, 2
   2. 2, 0, -1, -3
   3. 0, -1, 2, -3
   4. -1, -3, 0, 2
7. Express 0.25 as a fraction in its simplest form.
   1. $\frac{1}{2}$
   2. $\frac{2}{5}$
   3. $\frac{1}{4}$
   4. $\frac{3}{4}$