Question

Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is____. The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is ____. Humans shed approximately ____ times more particles of skin in five hours than in five minutes.

Answer 1

The approximate number of particles of skin a human can shed in five hours can be written in the form a × 10b, where a is 3 and b is 6.

The approximate number of particles of skin a human can shed in five minutes can be written in the form a × 10b, where a is 5 and b is 4.

Humans shed approximately 60 times more particles of skin in five hours than in five minutes.

Explanation:

In scientific notation, a number can be written in the form, a × 10b, where a is a number that must be greater than or equal to 1, but less than 10, and b is any integer.

First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.

Next, write the approximate number of particles of skin a human can shed in five minutes in scientific notation. This number is fifty thousand which can be written in the form a × 10b, where a is 5 and b is 4.

Then, divide the approximate number of particles a human can shed in five hours by the approximate number of particles a human can shed in five minutes to find out how many times more skin is shed in five hours than in 5 minutes.

Therefore, humans shed approximately 60 times more particles of skin in five hours than in five minutes.

Have a good day.

Answer 2

for 5 hours: b is 6

for 5 minutes: b is 4

60 times more skin in 5 hours than 5 minutes

Explanation:

I think it should be written as a x 10^b, so I'm going to answer it that way.

3 x 10^6 = 5 times 10^6

10^6 = 1,000,000, so we have 3 x 1,000,000 = 3,000, 000

5 x 10^4 = 5 times 10^4

10^4 = 10,000, so we have 5 x 10,000 = 50, 000

For part 3, divide 3 million by 50 thousand to find the scalar multiple

3,000,000/50,000 = 300/5 = 60