Place value puzzles

Question

The value of the digit in the thousandths place is equal to the sum of the measures of the angles in a triangle (180) divided by 30. If you multiply the digit in the tens place by 1000, the answer will be 9000. Double 35. Divide the result by 10. Write the answer in the tenths place. The hundreds place digit is 1/2 the value of the digit in the thousandths place. When you multiply the digit in the ones place by itself, the answer is 0. Write a digit in the hundredths place so that the sum of all six digits in this number is 30.

Answer 1

390.756.

Represent the number by the digits a-f: abc.def

f=180/30=6,

b=9000/1000=9,

d=2×35/10=7,

a=½f=6/2=3,

c²=0, c=0,

a+b+c+d+e+f=30, e=30-(a+b+c+d+f)=30-(3+9+0+7+6)=30-25=5.

Number is abc.def=390.756.