Question 1 of 5
What is the next natural number after 8?
Why: Natural numbers are the counting numbers that start from 1 and continue infinitely: 1, 2, 3, 4, 5, 6, 7, 8, **9**, 10, and so on. The successor of any natural number n is n+1. Therefore, after 8, the next natural number is 9, which corresponds to option C.[4]
Question 2 of 5
What is the sum of the first 10 natural numbers?
Why: The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Their sum is calculated using the formula for the sum of first n natural numbers: \( S = \frac{n(n+1)}{2} \). For n=10, \( S = \frac{10 \times 11}{2} = 55 \). Adding them directly: 1+2+3+4+5+6+7+8+9+10=55. Thus, option A is correct.[4]
Question 3 of 5
What is the product of the first 5 natural numbers?
Why: The first 5 natural numbers are 1, 2, 3, 4, 5. Their product is 1 × 2 × 3 × 4 × 5 = 120. This is also 5! (5 factorial). Natural numbers are closed under multiplication, so the product is also a natural number. Option A is correct.[4]
Question 4 of 5
Is the number zero a natural number? a) True b) False c) Cannot be determined d) None of the above
A
True
B
False
C
Cannot be determined
D
None of the above
Why: Natural numbers are defined as positive whole numbers starting from 1: \( N = \{1, 2, 3, \dots\} \). Zero is a whole number but not a natural number, as natural numbers begin at 1. Therefore, the statement is false, and option B is correct.[3][4]
Question 5 of 5
Which of the following statements about natural numbers is correct? 1. 5÷(6+6) = ⅚ + ⅚ 2. Any number divided by 0 is 0 3. 0 is the multiplicative identity and 1 is the additive identity 4. Every whole number is a natural number
Why: 1. 5÷12 = 5/12 ≠ 1, so false. 2. Division by zero is undefined, not 0. 3. 1 is multiplicative identity, 0 is additive identity. 4. 0 is a whole number but not natural. All statements require correction.[1]
