Question

Can someone help me with 39 and 40?

Answer 1

39.
9.2 x 10^3, 10,000, 1.8 x 10^4


40.
0.005, 5.25 x10^-3, 5.0 x 10^-2

Answer 2

39. Since exponents with 10 give us the number of zeros we are working with ex.(10^3= 1000, 3 zeros) We can just find out what we need to multiply and we can order them. 9.2x 1000= 9200. Now we just need to find the last one, being 10^4= 10,000x 1.8= 18,000. Now we order them: 9,200, 10,000, 18,000.

40. The same rule about working with exponents can be said when working with negative exponents but instead of how many zeros we add, it's how many zeros we take a step to the left from (ex. 10^-4= 0.0001, 4 zeros back.) So we just find the exponents' real value and work with them. 5.25 x 0.001= 0.00525. 5 x 0.01= 0.05. Now we order them: 0.005, 0.00525, 0.05