The size of a cell is typically found by capturing an image under a microscope then using software to measure its diameter. Two cells are measured using
this method:
Cell A: 9.85 x 10-2 centimeters
Cell B: 4.4 x 10-4 centimeters
How many times larger is the diameter of cell A than the diameter of cell B?
Write your answer in standard notation, rounding to the nearest tenth.

A:9.85×10-2 centimeters

9514 1404 393

  223.9 times as large

Step-by-step explanation:

"Times larger" is found by dividing the diameter of Cell A by that of Cell B.

  (9.85 × 10^-2)/(4.4 × 10^-4) ≈ 223.86

Cell A's diameter is about 223.9 times as large as that of Cell B.

Additional comment

Here, we have taken "times larger" to mean "times as large".

The term "larger" in a comparison context usually indicates an additive amount. That interpretation would mean A is 222.9 times larger than B. That is, 222.9 times B's diameter, added to B's diameter, would give the diameter of A.

Your calculator can take input in scientific notation and give output in standard notation. ("Standard notation" some places is scientific notation.)

The length of the longest metal rod that can be sent is 12 inches.

As given, the only boxes available for shipping are 7-inch cubes. As Jorge needs to ship a thin metal rod to a metalworking shop, he will put the rods diagonally or space diagonally in the box.

The space diagonal of a cube can be found by the formula :

=

Here, x is 7 inches.

So, Diagonal is =

= inches.

Rounding this to nearest whole number we get 12.

So, the length of the longest metal rod that can be sent is 12 inches.