I am a positive number less than 10.
I have 3 decimal places.
My one’s digit is an odd number.
If you round me to the nearest whole number, I am 9.
My tenths digit is the smallest natural number.
My hundredths digit is the same as my one’s digit.
My thousandths digit is 5 more than my tenths digit.
Who am I?
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The digit is 9.095
GIVEN
The number is less than 10.
There are 3 decimal places.
One's digit is odd under
TO FIND
The number.
SOLUTION
ATQ
The number has 3 decimal places and is less than 10.
Let the number be, A.B C D
So,
A.BCD < 10
'A' can either be, 1, 3, 5, 7, or 9.
After rounding the number is 9.
So, A = 9. (Equation 1)
The smallest natural number is 0
So, B = 0 (Equation 2)
hundredths digit = one’s digit.
That is,
C = A = 9 (Equation 3)
And,
D = B + 5
D = 0+5 = 5 (equation 4)
From equations 1, 2, 3 and 4
A.BCD = 9.095
Hence, The digit is 9.095
#Spj2
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