The digit in unit’s place of the product 81 × 82 × 83 × ... × 89 is:radio_button_unchecked0radio_button_unchecked2radio_button_unchecked6radio_button_unchecked8
Question
The digit in unit’s place of the product 81 × 82 × 83 × ... × 89 is:radio_button_unchecked0radio_button_unchecked2radio_button_unchecked6radio_button_unchecked8
Solution
To find the digit in the unit's place of the product of numbers, we only need to multiply the digits at the unit's place of each number.
Here, we have the numbers from 81 to 89.
The unit's place digits of these numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9 respectively.
If we multiply these digits, we get:
1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 = 3265920
The digit at the unit's place of this product is 0.
So, the digit in the unit's place of the product 81 × 82 × 83 × ... × 89 is 0.
Similar Questions
Which number can never be the unit digit of 237n, where n is a positive integer?radio_button_unchecked7radio_button_unchecked9radio_button_unchecked5radio_button_unchecked3radio_button_unchecked1
The product of a whole number (other than zero) and its successor is:radio_button_uncheckedAn even numberradio_button_uncheckedAn odd numberradio_button_uncheckedDivisible by 4radio_button_uncheckedDivisible by 3
Find the square root of 4.35, up to 4 digits.radio_button_unchecked2.625radio_button_unchecked2.852radio_button_unchecked2.085radio_button_unchecked2.0112
Select the correct answerWhen 40! is expressed in base 8 form, what is the last non–zero digit in the base 8 expansion?radio_button_unchecked2radio_button_unchecked6radio_button_unchecked4radio_button_unchecked2 or 6
The product of a rational and irrational number is:radio_button_uncheckedRationalradio_button_uncheckedIrrationalradio_button_uncheckedBoth of aboveradio_button_uncheckedNone of above
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.