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Very small numbers can be expressed in standard form using __________ exponents.
- a)equal
- b)negative
- c)positive
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
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Very small numbers can be expressed in standard form using __________ ...
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Very small numbers can be expressed in standard form using __________ ...
To express very small numbers in standard form, we use negative exponents. Here's a detailed explanation:
1. Standard Form:
- Standard form, also known as scientific notation, is a way to represent very large or very small numbers in a concise and readable format.
- In standard form, a number is expressed as a product of a coefficient and a power of 10.
2. Negative Exponents:
- Negative exponents indicate the reciprocal or multiplicative inverse of a number.
- When we have a very small number, it can be expressed in the form of a fraction with a positive exponent in the denominator.
- However, in standard form, we want the exponent to be positive. So, we use negative exponents to represent the reciprocal of the fraction.
3. Example:
- Let's say we have the number 0.000036.
- To express this number in standard form, we move the decimal point to the right until we have a number between 1 and 10.
- In this case, we move the decimal point 5 places to the right, which gives us 3.6.
- The original number can then be written as 3.6 x 10^(-5), where -5 is the negative exponent representing the number of decimal places the decimal point was moved.
Therefore, very small numbers can be expressed in standard form using negative exponents.
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Very small numbers can be expressed in standard form using __________ exponents.a)equalb)negativec)positived)none of theseCorrect answer is option 'B'. Can you explain this answer?
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