The radius of a hydrogen atom is 0.0000000529177 of a millimeter. Express this number as an approximation.(1 point)

Responses

0.00000005
0.00000005

0.00000006
0.00000006

0.0000005
0.0000005

0.0000000053

0.000000053

To express the given value as an approximation, we need to round it to the appropriate number of decimal places.

The given radius of a hydrogen atom is 0.0000000529177 millimeters. Since we are asked for an approximation, we can round this number to a reasonable number of decimal places.

Looking at the given decimal places, the digits after the 7th decimal place are less than 5. Therefore, we can round the number to the 7th decimal place.

As a result, the approximation of the given radius is 0.00000005 millimeters. So, the correct response is option 1: 0.00000005

To express the given number as an approximation, we can use the significant figures rule. Since there are 8 significant figures in the given number, we must round it to 8 significant figures.

Thus, the given number, 0.0000000529177, can be approximated as 0.00000005.

How many times is 4 × 104 larger than 2 × 102 ?(1 point)

Responses

200
200

2
2

20
20

2,000

To determine how many times 4 x 10^4 is larger than 2 x 10^2, we divide the first number by the second number:

(4 x 10^4) / (2 x 10^2)

To divide these numbers, we divide the coefficients and subtract the exponents:

4 / 2 = 2
10^4 / 10^2 = 10^(4-2) = 10^2

So, 4 x 10^4 is 2 x 10^2 times larger than 2 x 10^2.

Therefore, the correct response is option 2: 2.

Option 2

Or Option 2:2
I didn't understand you.

Apologies for the confusion. The correct response is indeed option 2: 2. 4 x 10^4 is 2 times larger than 2 x 10^2.