Answer:
a) To add (2.7 x 10⁹) and (6.3 × 10⁷) in standard form, we can use a scientific notation calculator or follow the steps below.
- Factor out one of the powers of ten, such as 10⁹, from both numbers.
- Add the coefficients, which gives 2.700000674.
- Multiply the result by the power of ten, which gives 2.7 x 10¹⁰.
Therefore, the sum of (2.7 x 10⁹) and (6.3 × 10⁷) in standard form is 2.7 x 10¹⁰.
b) To subtract (7.4 x 10⁻¹¹) and (5.2 x 10⁻¹²) in standard form, we can use a scientific notation calculator or follow the steps below
- Divide the smaller number by the larger number, which gives 0.7.
- Subtract the exponent of the smaller number from the exponent of the larger number, which gives -11.
- Multiply the result by the power of ten, which gives 6.2 x 10⁻¹².
Therefore, the difference between (7.4 x 10⁻¹¹) and (5.2 x 10⁻¹²) in standard form is 6.2 x 10⁻¹².