Question

The measurement 0.000 0043 m, expressed correctly using scientific notation, is_______

Answer 1

Answer:

4.3*10^-6

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Answer 2

The measurement 0.0000043 m, expressed correctly using scientific notation $\displaystyle \sf{ = 4.3 \times {10}^{ - 6} } \: \: m$

Given :

The measurement 0.0000043 m

To find :

To express correctly using scientific notation

Concept :

For any given number Standard form/scientific form is a way to express the number .

It is generally used to express a large or a small number

The standard form of any given number is

$\sf = m\times {10}^{n}$

Where m is a number such that 1 ≤ m < 10 and n is the exponent of 10

Solution :

Step 1 of 2 :

Write down the given measurement

Here the given measurement is 0.0000043 m

Step 2 of 2 :

Express correctly using scientific notation

$\displaystyle \sf{0.0000043 }$

$\displaystyle \sf{ = \frac{43}{10000000} }$

$\displaystyle \sf{ = \frac{43}{ {10}^{7} } }$

$\displaystyle \sf{ = 43 \times {10}^{ - 7} }$

$\displaystyle \sf{ = 4.3 \times 10 \times {10}^{ - 7} }$

$\displaystyle \sf{ = 4.3 \times {10}^{ - 6} }$

Hence the required scientific notation

$\displaystyle \sf{ = 4.3 \times {10}^{ - 6} } \: \: m$

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