(1A) Write the 11-digit number that has a 2 in the ones place,1 in the tens place,a digit in the ten-thousands place that is twice the digit in the ones place,the smallest odd digit in the billions place, 6 in the tenths place, and 0 in all the other places.
(1B) How did you calculate the digit in the billions place?
xxxxxxxxxx.x
xxxxxxxx12.x
xxxxx4xx12.x
1xxxx4xx12.6
1000040012.6
1 is the smallest odd digit
(1A) To find the 11-digit number with the given properties, let's break down each digit and calculate them one by one:
- Ones place: The condition states that there should be a 2 in the ones place.
- Tens place: The condition states that there should be a 1 in the tens place.
- Ten-thousands place: The digit in this place is twice the digit in the ones place. Since the digit in the ones place is 2, we multiply it by 2 to get 4 in the ten-thousands place.
- Billions place: The condition states that the digit in this place must be the smallest odd digit. The smallest odd digit is 1, so we place 1 in the billions place.
- Tenth place: The condition states that there should be a 6 in the tenths place.
- All other places: The condition states that there should be 0 in all the other places. This means no other digits are specified.
Combining all these digits, the 11-digit number that satisfies the given conditions is: 1_0_0_0_4_1_0_0_0_1_2.
(1B) To calculate the digit in the billions place, we looked at the condition that stated the digit should be the smallest odd digit. The smallest odd digit is 1. Therefore, we determined that the digit in the billions place would be 1.