Standard form of 0.00043 _______
Answers
Answer:
4.3*10^-4
Step-by-step explanation:
as 0.00043=43/100000
⇒4.3*10^-4
some more thing about standard form⇒↓
Standard form is a way of writing down very large or very small numbers easily. 103 = 1000, so 4 × 103 = 4000 . So 4000 can be written as 4 × 10³ . This idea can be used to write even larger numbers down easily in standard form.
Small numbers can also be written in standard form. However, instead of the index being positive (in the above example, the index was 3), it will be negative. The rules when writing a number in standard form is that first you write down a number between 1 and 10, then you write × 10(to the power of a number).
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Concept
- Numbers that are either too large or too little to be readily stated in decimal form can be expressed using scientific notation. It may also be referred to as standard form in the UK, scientific form, or standard index form.
- Standard form is also known as scientific notation
Given
The decimal form 0.00043 is given
Find
We have to find standard form of given decimal form
Solution
The steps are as follow:
- The standard form will be expressed as a×10^b
- Your number's decimal point should be moved until there is just one non-zero digit remaining. The outcome is a decimal number.
- The decimal point was shifted how many times? This amount is b.
If you moved the decimal to the left b is positive.
If you moved the decimal to the right b is negative.
If you did not need to move the decimal b = 0.
- When writing a number in scientific notation, use the notation "a times 10 to the power of b."
- Only eliminate trailing zeroes if the decimal point is to the left of them.
- So the standard form of 0.00043 will be 4.3 × 10^(-4)
Hence the standard form of given decimal form 0.00043 will be 4.3 × 10^(-4)
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