(a) compute \(10^{999}\cdot 5^{-999}\cdot 2^{-999}\).
(b) Suppose we write down the smallest positive 2-digit, 3-digit, and 4-digit multiples of 9.
What is the sum of these three numbers?
(c) Suppose we write down the smallest (positive) 2-digit, 3-digit, and 4-digit multiples of 8.
What is the sum of these three numbers?
(d)Suppose we write down the smallest (positive) 2-digit, 3-digit, and 4-digit multiples of 7.
What is the sum of these three numbers?
(e)What is the sum of all positive 1-digit integers that 4221462 is divisible by?
(f)What's the largest -digit number that is a multiple of both 4 and 9?
+539 a) 10^999=5^999*2^999
5^999*5^-999*2^999*2^-999=1*1=1
b)
Smallest 2 digits- 18
Smallest 3 digits- 108
Smallest 4 digits- 1008
18+108+1008=1134
c)
2 digits- 16
3 digits- 104
4 digits- 1000
16+104+1000=1120
d)
2 digit- 14
3 digit- 105
4 digit- 1001
14+105+1001=1120
e)
1, 2, 3, 6, 7
Add them
