How do you write 3,610,000 in scientific form?

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How do you write 3,610,000 in scientific form?

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Answer 1 · 2016-09-23T06:12:27

$3, 610, 000 = 3.61 \times 10^{7}$ $3,610,000=3.61xx10^7$

Explanation:

In scientific notation, we write a number so that it has single digit to the left of decimal sign and is multiplied by an integer power of $10$ $10$ .

Note that moving decimal $p$ $p$ digits to right is equivalent to multiplying by $10^{p}$ $10^p$ and moving decimal $q$ $q$ digits to left is equivalent to dividing by $10^{q}$ $10^q$ .

Hence, we should either divide the number by $10^{p}$ $10^p$ i.e. multiply by $10^{- p}$ $10^(-p)$ (if moving decimal to right) or multiply the number by $10^{q}$ $10^q$ (if moving decimal to left).

In other words, it is written as $a \times 10^{n}$ $axx10^n$ , where $1 \leq a < 10$ $1<=a<10$ and $n$ $n$ is an integer.

To write $3, 610, 000$ $3,610,000$ in scientific notation, we will have to move the decimal point six points to left, which literally means dividing by $10^{7}$ $10^7$ .

Hence in scientific notation $3, 610, 000 = 3.61 \times 10^{7}$ $3,610,000=3.61xx10^7$ (note that as we have moved decimal one point to right we are multiplying by $10^{7}$ $10^7$ to compensate for division by $10^{7}$ $10^7$ ..

Answer 2 · 2016-10-03T09:15:51

$3.61 \times 10^{6}$ $3.61xx10^6$

Explanation:

Taken it 1 step at a time so you can see what is happening.

The multiply by 10's converts the number back to its original state of 3610000

$3610000$ $color(blue)(3610000)$
$361000 .0 \times 10$ $color(blue)(361000).0xx10$
$36100 .00 \times 10 \times 10$ $color(blue)(36100).00xx10xx10$
$3610 .000 \times 10 \times 10 \times 10$ $color(blue)(3610).000xx10xx10xx10$
$361 .0000 \times 10 \times 10 \times 10 \times 10$ $color(blue)(361).0000xx10xx10xx10xx10$
$36 .10000 \times 10 \times 10 \times 10 \times 10 \times 10$ $color(blue)(36).10000xx10xx10xx10xx10xx10$
$3 .610000 \times 10 \times 10 \times 10 \times 10 \times 10 \times 10 \leftarrow This one$ $color(blue)(3).610000xx10xx10xx10xx10xx10xx10color(red)(larr" This one")$

Write as: $3.61 \times 10^{6} \to$ $3.61xx10^6" "->" "$ This has exactly the same value as $" "$ 3,610,000

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How do you write 3,610,000 in scientific form?

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