Sure! Let's express [tex]\( 2.67 \times 10 \)[/tex] in scientific notation with 2 decimal places.
1. Understand the expression:
We are given [tex]\( 2.67 \times 10 \)[/tex]. This means [tex]\(2.67\)[/tex] multiplied by [tex]\(10^{1}\)[/tex].
2. Calculate the product:
[tex]\[
2.67 \times 10 = 2.67 \times 10^1 = 26.7
\][/tex]
3. Express [tex]\(26.7\)[/tex] in scientific notation:
To convert [tex]\(26.7\)[/tex] into scientific notation:
- We can write it as [tex]\(2.67 \times 10\)[/tex].
- Adjusting the decimal places to ensure it is in accordance with standard scientific notation (i.e., a single digit before the decimal point).
4. Put it all together with 2 decimal places:
The format for scientific notation with two decimal places switches the value back to consideration:
[tex]\[
2.67 \times 10^9 = 2.67e+09
\][/tex]
Thus, when [tex]\(2.67 \times 10\)[/tex] is expressed in scientific notation with 2 decimal places, it remains [tex]\(2.67 \times 10^9 \)[/tex], or written as [tex]\(2.67e+09\)[/tex].
