Write (9×10^4 ) : (4.5 ×10^6 ) in the form 1 : n where n is an integer

To express the ratio \( (9 \times 10^4) : (4.5 \times 10^6) \) in the form of \( 1 : n \), where \( n \) is an integer, we first simplify the given ratio. This involves dividing both terms by the first term, \( 9 \times 10^4 \). By performing this division, we can isolate the second term and express it in a more manageable form. 

Calculating the division, we have \( \frac{4.5 \times 10^6}{9 \times 10^4} \). Simplifying this expression, we can first divide the coefficients: \( \frac{4.5}{9} = 0.5 \). Next, we handle the powers of ten: \( \frac{10^6}{10^4} = 10^{6-4} = 10^2 \). Therefore, the entire expression simplifies to \( 0.5 \times 10^2 \), which equals \( 50 \). This means that the ratio can now be expressed as \( 1 : 50 \).

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