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.

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)