Answer:
If the non-zero whole number is even, then there are 3 zeroes
If the non-zero whole number is odd, then there are 2 zeroes
Step-by-step explanation:
* Lets explain the information in the problem
- Whole numbers are positive numbers, including zero, without
any decimal or fractional
- Nonzero whole numbers are positive numbers, not including zero
- The non-zero whole numbers less then 10 are:
1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9
- The product of any nonzero whole number less than 10 and 500
means multiply any of nonzero number above by 500
- The number of zeros in the product is equal to the sum of the
number of zeros at the end of each of the factors.
# 1 × 500 = 5 × 100 ⇒ 2 zeros
# 2 × 500 = 2 × 5 × 100 = 10 × 100 ⇒ 3 zeros
# 3 × 500 = 3 × 5 × 100 = 15 × 100 ⇒ 2 zeros
# 4 × 500 = 2 × 2 × 5 × 100 = 2 × 10 × 100 ⇒ 3 zeros
# 5 × 500 = 5 × 5 × 100 = 25 × 100 ⇒ 2 zeroes
# 6 × 500 = 2 × 3 × 5 × 100 = 3 × 10 × 100 ⇒ 3 zeros
# 7 × 500 = 7 × 5 × 100 = 35 × 100 ⇒ 2 zeroes
# 8 × 500 = 2 × 2 × 2 × 5 × 100 = 4 × 10 × 100 ⇒ 3 zeros
# 9 × 500 = 3 × 3 × 5 × 100 = 45 × 100 ⇒ 2 zeros
- From all answers above:
# If the non-zero whole number is even (2 , 4 , 6 , 8), then there are
3 zeros in the product
# If the non-zero whole number is odd (1 , 3 , 5 , 7 , 9), then there are
2 zeros in the product
