Question

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What is 2,070,000 written in scientific notation?
2.07 x 10 exponent of 6
20.7 x 10 exponent of 5
20.7 x 10 exponent of 6
2.07 x 10 exponent of 5

Answer 1

Answer: Choice A

2.07 x 10 exponent of 6

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Step-by-step explanation:

We stick the decimal point between the first two digits to get 2.07 and we drop the trailing zeros.

Now ask yourself: "how many places must the decimal point move to the right to go from 2.07 back to 2,070,000?". The answer would be "6 places to the right". That "6" is the exponent over the 10.

Therefore,
`2,070,000 = 2.07 * 10^6` which is a number slightly larger than 2 million. Notice that the number up front 2.07 satisfies the inequality
`0 \le A< 10`. Choice C has 20.7 make that inequality false, so we rule out choice C.

Answer 2

`\large\boxed{\tt 2.07 * 10^(6)}`

Step-by-step explanation:

`\textsf{We are asked to identify 2,070,000 in Scientific Notation.}`

`\large\underline{\textsf{What is Scientific Notation?}}`

`\textsf{Scientific Notation is a way to represent large numbers in exponential form.}`

`\textsf{Scientific Notation also works with small numbers.}`

`\large\underline{\textsf{To find Scientific Notation;}}`

`\textsf{We will use our given number, then move the decimal place to the left.}`

`\textsf{Afterwards, add 1 to the value of the exponent as the number decreased.}`

`\textsf{Repea}\textsf{t this process until we have a single whole number to the left of the decimal.}`

`\large\underline{\textsf{Finding Scientific Notation;}}`

`\tt 2070000^(0) \rightarrow 207000.0^(1) \rightarrow 20700.00^(2) \rightarrow 2070.000^(3) \rightarrow 207.0000^(4) \rightarrow 20.70000^(5)...`

`\large\rightarrow\boxed{\tt 2.07^(6)}`

`\large\underline{\textsf{Remember that;}}`

`\textsf{2070000 doesn't actually have the exponent of 0, it's being multiplied by 1.}`

`\tt 2070000 = 207000 * 10^(1)`

`\tt 2070000 = 20700 * 10^(2)`

`\tt 2070000 = 2070 * 10^(3)`

`\tt 2070000 = 207 * 10^(4)`

`\tt 2070000 = 20.7 * 10^(5)`

`\large\boxed{\tt 2070000 = 2.07 * 10^(6)}`