Question

in exercises 13-18, write the number in scientific notation. 13. 72,000 14. 7,200,000,000,000 15. 0.00000072 16. 41,900,000 17. 0.00419 18. 0.00000000000419

Explanation:

Step1: Rewrite as $a \times 10^n$, $1 \leq a <10$

For 72,000:

Move decimal left 4 places: $7.2 \times 10^4$

For 7,200,000,000,000:

Move decimal left 12 places: $7.2 \times 10^{12}$

For 0.00000072:

Move decimal right 7 places: $7.2 \times 10^{-7}$

For 41,900,000:

Move decimal left 7 places: $4.19 \times 10^7$

For 0.00419:

Move decimal right 3 places: $4.19 \times 10^{-3}$

For 0.000000000419:

Move decimal right 10 places: $4.19 \times 10^{-10}$

Answer:

1. $7.2 \times 10^4$
2. $7.2 \times 10^{12}$
3. $7.2 \times 10^{-7}$
4. $4.19 \times 10^7$
5. $4.19 \times 10^{-3}$
6. $4.19 \times 10^{-10}$