Help with ratio 1.0 x 10-2 = 1:100

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SUMMARY

The discussion clarifies the conversion of the scientific notation 1.0 x 10-2 into a ratio format. It establishes that 1.0 x 10-2 equals 0.01, which can be expressed as the ratio 1:100. The conversation emphasizes that ratios can represent multiple values, unlike fractions, which are limited to two. The example provided illustrates that ratios can be extended to three or more numbers, such as x:y:z = 1:2:3.

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  • Understanding of scientific notation, specifically 10-2
  • Basic knowledge of fractions and their equivalence to ratios
  • Familiarity with mathematical notation and terminology
  • Concept of representing multiple values in ratios
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kaye77
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please could you help me understand this is very simple terms.

1.0 x 10-2 = 1:100

(as in ten to the power of minus 2)

i do not understand what i need to do to get it into a ratio.
 
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Hi kaye77! :smile:

(try using the X2 tag just above the Reply box :wink:)
kaye77 said:
i do not understand what i need to do to get it into a ratio.

A ratio is exactly the same as a fraction.

So 1.0 x 10-2 = 0.01 = 1/100 = 2/200 = 39.7174/3971.74,

= 1:100 = 2:200 = 39.7174:3971.74.

(Any ratio would do, but we usually, though not always choose to start with "1:")

btw, the only real advantage of the ratio terminology is that you can use it with more than two numbers, which you can't do with fractions

for example you can write x:y:z = 1:2:3 in one equation (while using fractions would take at least two equations). :smile:
 

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