To convert the scientific notation [tex]\( -5.6 \times 10^{-3} \)[/tex] into standard form, follow these steps:
1. Identify the parts of the scientific notation:
- The coefficient: [tex]\(-5.6\)[/tex]
- The exponent: [tex]\(-3\)[/tex]
2. Understand what the exponent signifies:
- The exponent [tex]\(-3\)[/tex] tells us that the decimal point of the coefficient needs to be moved 3 places to the left.
3. Move the decimal point:
- Start with the coefficient [tex]\(-5.6\)[/tex].
- Move the decimal point 3 places to the left. Since there are not enough digits to the left of the decimal in [tex]\(-5.6\)[/tex], you will need to add zeroes.
4. Perform the shift:
- Move the decimal one place to the left: [tex]\(-0.56\)[/tex]
- Move the decimal a second place to the left: [tex]\(-0.056\)[/tex]
- Move the decimal a third place to the left: [tex]\(-0.0056\)[/tex]
Therefore, the standard form of [tex]\( -5.6 \times 10^{-3} \)[/tex] is [tex]\( -0.0056 \)[/tex].
