Question
- 80000 is equivalent to which of the following?
Answer: Option A
The given expression 80000 is equivalent to 0.2^3 x 10^7. To understand this, first we need to understand the concept of scientific notation.
Scientific notation is a way of writing very large or very small numbers by using powers of 10. It is often used to express very large or very small numbers in an easier way.
For example, 10^5 = 100,000, which is easier to read than 100,000.
Mathematically, 80000 can be written as 8 x 10^4.
Since 80000 is a very large number, we can express it in scientific notation by changing the coefficient (8) to a decimal (0.8) and moving the decimal point four places to the left. This gives us 0.8 x 10^4.
Using the rule of exponents, we can combine the exponents as 0.2^3 x 10^7.
Therefore, the given expression 80000 is equivalent to 0.2^3 x 10^7.
Some of the other options are incorrect as follows:
Option B: 0.2^3 x 10^5
This option is incorrect because 10^5 is equal to 100,000 which is much smaller than 80000.
Option C: 2^3 x 20^3
This option is incorrect because 2^3 x 20^3 is equal to 160,000 which is much smaller than 80000.
Option D: 2^2 x 10^5
This option is incorrect because 2^2 x 10^5 is equal to 200,000 which is much smaller than 80000.
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The given expression 80000 is equivalent to 0.2^3 x 10^7. To understand this, first we need to understand the concept of scientific notation.
Scientific notation is a way of writing very large or very small numbers by using powers of 10. It is often used to express very large or very small numbers in an easier way.
For example, 10^5 = 100,000, which is easier to read than 100,000.
Mathematically, 80000 can be written as 8 x 10^4.
Since 80000 is a very large number, we can express it in scientific notation by changing the coefficient (8) to a decimal (0.8) and moving the decimal point four places to the left. This gives us 0.8 x 10^4.
Using the rule of exponents, we can combine the exponents as 0.2^3 x 10^7.
Therefore, the given expression 80000 is equivalent to 0.2^3 x 10^7.
Some of the other options are incorrect as follows:
Option B: 0.2^3 x 10^5
This option is incorrect because 10^5 is equal to 100,000 which is much smaller than 80000.
Option C: 2^3 x 20^3
This option is incorrect because 2^3 x 20^3 is equal to 160,000 which is much smaller than 80000.
Option D: 2^2 x 10^5
This option is incorrect because 2^2 x 10^5 is equal to 200,000 which is much smaller than 80000.
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