What is standard form? Why we write 234000000 as 2.3410^8 instead of 23410^6?

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Solution

Dear student,

$S \tan d a r d f o r m i s t h e w a y o f w r i t i n g d o w n v e r y l a r g e o r v e r y s m a l l n u m b e r s e a s i l y . 10^{3} = 1000, s o 4 \times 10^{3} = 4000 . S o, 4000 c a n b e e a s i l y w r i t t e n a s 4 \times 10^{3} . I n g e n e r a l, a n u m b e r x w r i t t e n i n s c i e n t i f i c n o t a t i o n h a s t h e f o r m N \times 10^{M}, N t i m e s 10 r a i s e d t o a p o w e r M . S o, w e w r i t e 234000000 a s 2.34 \times 10^{6} .$

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Write 390000000 in the standard form.

Express the product of $3.2 \times 10^{6}$ and $4.1 \times 10^{- 1}$ in the standard form.

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In the following question, out of the four options, only one is correct. Write the correct answer.

The standard form for 2340000000 is

(a) $2.34 \times 10^{8}$

(b) $0.234 \times 10^{9}$

(d) $0.234 \times 10^{- 9}$

76854000 \times 10^{8}

0.000089 \times 10^{6}

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