Question

Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers. If necessary, use / for the fraction bar(s).


A scientist measures the diameter of a bacteria cell and yeast cell. She finds the diameter of a bacteria cell to be 0.0000021 meters and the diameter of a yeast cell to be 0.00000398 meters.

The approximate diameter of the bacteria cell is represented by point ----------
on the number line.
The approximate diameter of the yeast cell is represented by point -----------
on the number line.
The diameter of the bacteria cell is approximately ----------
times smaller than the diameter of the yeast cell.

Answer 1

Since there are 5 zeros after the decimal point in front of the 21, 0.0000021=2.1*10^(-6) (by moving the decimal 6 places to the right, and we have 6 instead of 5 because we have to account for moving the 2 in front of the decimal too). For 0.00000398, we can use a similar process to get 3.98*10^(-6). Since 2.1 rounds to 2 (since 1<5) and 3.98 rounds to 4 (since 9>5), we have the approximate diameter of the bacteria cell be 2*10^(-6) and the yeast cell be *10^(-6)

Since we want to find how many times smaller the bacteria cell is,. we divide the bacteria cell by the yeast cell to get (2*10^(-6))/(4*10^(-6))=1/2=2/4, meaning that the bacteria cell is half as big as the yeast cell and the yeast cell is 2 times as big as the bacteria cell (since the reciprocal of 1/2 is 2)

Answer 2

The approximate diameter of the bacteria cell shows that it would be best represented on the number line by point 2 x 10⁻⁶.

The approximate diameter of the yeast cell is best represented by the point 3 x 10⁻⁶.

Compared to the yeast cell, the approximate diameter of the bacteria cell is approximately 2 times smaller.

What points best represent the diameters of the yeast and bacteria cells?

To find the power of 10 that the first whole number needs to be multiplied by, count the number of zeros and the whole number.

The number of zeros and the first whole number for 0.0000021 is 6 so this is the number to multiply 10 by:

=  2 x 10⁻⁶

The same would apply to the number 0.00000398 as there are also five zeros so it becomes:

= 3 x 10⁻⁶

How much larger than the bacteria cell is the yeast cell?

You can find this as:

= Diameter of yeast cell / Diameter of bacteria cell

= 0.00000398 / 0.0000021

= 1.89

= 2 approx.

Find out more on the bacteria cell at https://brainly.com/question/3024933.