1. Write 86,400 s in exponential notation.
My answer: 8.6400 x 10^4 s
2. Write 0.15 ns using exponential notation with units of s.
My answer: 0.15 x 10^-9
3. 141000 g =? kg
My answer: 141 kg
4. Write 1.4 Mg using exponential notation with units of g.
My answer: 1.4 x 10^6 g
5. Write 30 pm using exponential notation with units of m.
My answer: 30 x 10^-12 m
6. Write 12,800 km using units of Gm.
My answer: 12,800 x 10^-6 Gm
7. Determine how many ps thre are in 1 s.
My answer: 1 x 10^12 ps
1. To write 86,400 s in exponential notation, we convert the number to scientific notation by moving the decimal point four places to the left. This gives us 8.64 x 10^4 s.
2. To write 0.15 ns using exponential notation, we count the number of decimal places and move the decimal point nine places to the right to convert from nanoseconds to seconds. This gives us 1.5 x 10^-10 s.
3. To convert grams to kilograms, we divide the number by 1000 since there are 1000 grams in 1 kilogram. So, 141,000 g divided by 1000 is equal to 141 kg.
4. To write 1.4 Mg (megagrams) using exponential notation with units of grams, we multiply the number by 1,000,000 since there are 1,000,000 grams in 1 megagram. This gives us 1.4 x 10^6 g.
5. To write 30 pm (picometers) using exponential notation with units of meters, we convert picometers to meters by moving the decimal point twelve places to the left. This gives us 3 x 10^-11 m.
6. To write 12,800 km using units of Gigameters (Gm), we convert kilometers to Gigameters by moving the decimal point six places to the left. This gives us 12.8 x 10^-6 Gm.
7. To determine how many picoseconds there are in 1 second, we use the prefix "pico" which represents 10^-12. So, there are 1 x 10^12 picoseconds in 1 second.