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

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In summary, a ratio is the same as a fraction. To convert 1.0 x 10-2 to a ratio, you can write it as 1/100 or any equivalent ratio such as 2/200 or 39.7174/3971.74. The advantage of using ratios is that you can use it with more than two numbers in one equation, while fractions would require multiple equations.
  • #1
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:
 

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

1. What does "ratio 1.0 x 10-2" mean?

The notation 1.0 x 10-2 is a scientific notation representing the decimal number 0.01. The number after the "x 10" indicates how many places the decimal point should be moved to the left (negative exponent) or right (positive exponent).

2. How is this ratio expressed in terms of a fraction?

The ratio 1.0 x 10-2 can be expressed as a fraction as 1/100, which can also be written as 1:100. This means that for every 1 unit of the first quantity, there are 100 units of the second quantity.

3. How do I convert this ratio to a percentage?

To convert a ratio to a percentage, simply multiply it by 100. In this case, 1:100 would be equivalent to 1%.

4. Can this ratio be simplified further?

No, this ratio cannot be simplified any further as 1 and 100 do not share any common factors other than 1.

5. How can this ratio be applied in real-life situations?

Ratios are commonly used in many real-life situations, such as in cooking recipes, financial calculations, and scientific experiments. This particular ratio, 1:100, could represent the dilution of a solution, the concentration of a substance, or the scale of a map or model.

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