19:22 5G www.sparxmaths.uk Sparx Maths 22,804 XP 6 A 6B 6 C 6 D 6E 6F Bookwork code: 6B Work out \( \left(2 \times 10^{3}\right) \times\left(3 \times 10^{8}\right) \) Give your answer in standard index form. Watch video Answer

To solve \( \left(2 \times 10^{3}\right) \times\left(3 \times 10^{8}\right) \), you first multiply the coefficients: \( 2 \times 3 = 6 \). Next, you add the exponents of the powers of ten: \( 3 + 8 = 11 \). So, combining these, you get \( 6 \times 10^{11} \). In standard index form, the final answer is \( 6 \times 10^{11} \). This problem showcases how scientific notation lets us handle very large (or small) numbers with ease! For instance, the value \( 6 \times 10^{11} \) represents 600 billion, which is useful in various fields like finance or astronomy where huge quantities are common. It's a real lifesaver for calculations that would otherwise be difficult to manage!