what is 999999999999999999 times 9999?
999999999999999999 =
10^18 - 1
9999 = 10^4 - 1
999999999999999999 * 9999 =
(10^18 - 1)* (10^4 - 1) =
10^22 - 10^18 - 10^4 + 1
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To calculate the product of 999999999999999999 and 9999, you can follow these steps:
Step 1: Simplify the multiplication by observing the number of trailing zeros in 9999. Since it is 4, we can remove those zeros by focusing on the remaining digits:
999999999999999999 * 9999 = 999999999999999999 * (9999 * 10000)
Step 2: Next, calculate the product of 9999 and 10000:
9999 * 10000 = 99990000
Step 3: Substitute the result back into the initial equation:
999999999999999999 * 9999 * 10000 = 999999999999999999 * 99990000
Step 4: Perform the multiplication:
999999999999999999 * 99990000 = 999900000000000001 * 10000 - (99990000 - 1)
Step 5: Evaluate the resulting equation:
999900000000000001 * 10000 - (99990000 - 1) = 99990000000000000000 + 10000 - 99990000 + 1
Step 6: Simplify further:
99990000000000000000 + 10000 - 99990000 + 1 = 99990000000000000001
Therefore, the product of 999999999999999999 and 9999 is 99990000000000000001.