Final answer:
The number 6,750,000,000 written in scientific notation is 6.75×10⁹. For division involving large or small numbers, scientific notation simplifies the process. Large numbers like 6.022 × 10²³ in scientific notation can be expressed as standard form by adjusting the decimal point.
Step-by-step explanation:
The number 6,750,000,000 can be expressed in scientific notation by first placing the decimal point after the first non-zero digit and then by counting the number of places the decimal moves until it reaches the end of the number. To write 6,750,000,000 in scientific notation, move the decimal place 9 times to the left, resulting in 6.75. Then you multiply by 10 raised to the power of the number of places the decimal was moved, which is 9. Therefore, the number 6,750,000,000 in scientific notation is 6.75×10⁹.
- To express 333,999,500,000 ÷ 0.00000000003396 in scientific notation, you would start by writing both numbers in scientific notation, perform the division, and then write the result in scientific notation.
- The number 6.022 × 10²³ can be expressed in standard notation by moving the decimal point 23 places to the right, filling in zeros as needed.