Question

How are 2.4*10^6 and 24*10^5 equivalent

Answer 1

Explanation:

1) so lets look at the numbers in standard form:

2.4*10^6=2400000

24*10^5=2400000

see the difference?

*trick question, there is none*

so each place value in a number is worth 10 times the number before

so in the number

1563

1=1000

5=100

6=10

3=1

see how you have to multiply "10" with the place value of the numbers on the right to recieve the place value of the numbers on the left. It is the same thing with decimals

in 2.4 if you multiply this decimal by 10, you get 24

since 2.4 is raised to the 6th power, we can afford to multiply this decimal by 10. In doing so, you knock of a 0, so if you multiply 2.4 with 10 it will no longer be to the power of 6, but it will turn into the power of 5.

so 2.4*10=24

10^6/10=10^5

so

2.4*10^6=24*10^5

24*10^5=24*10^5

hope this helps!

Answer 2

See below.

Explanation:

10^6 = 1 million and 10^5 = a hundred thousand.

2.4 * 10^6 = 2.4 * 1,000,000 = 2,400,000.

24 * 10^5 = 24 * 100,000 = 2,400,000.