Certainly! To convert the expression [tex]\(0.21 \times 10^6\)[/tex] into standard form, follow these steps:
1. Understand the components:
- [tex]\(0.21\)[/tex] is the coefficient.
- [tex]\(10^6\)[/tex] is the power of 10, which represents 1 followed by 6 zeros (1,000,000).
2. Multiply the coefficient by the power of 10:
- When you multiply [tex]\(0.21\)[/tex] by [tex]\(1,000,000\)[/tex], you shift the decimal point 6 places to the right.
3. Perform the multiplication:
- Shifting the decimal point 6 places to the right, [tex]\(0.21\)[/tex] becomes [tex]\(210,000\)[/tex].
Therefore, when writing [tex]\(0.21 \times 10^6\)[/tex] in standard form, the result is:
[tex]\[ 210,000.0 \][/tex]
So, the standard form of [tex]\(0.21 \times 10^6\)[/tex] is [tex]\(210,000\)[/tex].
