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 K: 3.15 ×10^(-3) centimeters Cell M: 8.5 ×10^(-4) centimeters How many times larger is the diameter of cell K than the diameter of cell M ? Write your answer in standard notation, rounding to the nearest tenth. Answer:

Write Cell Diameters: Write down the diameters of both cells in scientific notation. Cell K diameter = 3.15 × 10^(-3) centimeters Cell M diameter = 8.5 × 10^(-4) centimetersCalculate Ratio: To find out how many times larger the diameter of cell K is than the diameter of cell M, we need to divide the diameter of cell K by the diameter of cell M. (3.15 × 10^(-3)) ÷ (8.5 × 10^(-4))Convert Exponents: Before dividing, we should convert the exponents to have the same base for easier calculation. Since 10^(-3) is the same as 10^(-4) × 10^(1), we can rewrite the diameter of cell K as: (3.15 × (10^(-4) × 10^(1))) centimeters Now, we can divide the coefficients (3.15 ÷ 8.5) and subtract the exponents (1 - (-1)).Perform Division: Perform the division of the coefficients and the subtraction of the exponents. (3.15 ÷ 8.5) × 10^(1 - (-1)) = (0.3705882353) × 10^(2)Round to Nearest Tenth: Round the result to the nearest tenth and write it in standard notation. 0.3705882353 rounded to the nearest tenth is 0.4. So, the diameter of cell K is 0.4 × 10^2 times larger than the diameter of cell M.Convert to Standard Notation: Convert the scientific notation to standard notation. 0.4 × 10^2 = 40

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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: $\newline$ Cell K: $3.15 \times 10^{-3}$ centimeters $\newline$ Cell M: $8.5 \times 10^{-4}$ centimeters $\newline$ How many times larger is the diameter of cell $\mathrm{K}$ than the diameter of cell $\mathrm{M}$ ? Write your answer in standard notation, rounding to the nearest tenth. $\newline$ Answer:

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Q. 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:

\newline

Cell K:

3.15 \times 10^{-3}

centimeters

\newline

Cell M:

8.5 \times 10^{-4}

centimeters

\newline

How many times larger is the diameter of cell

\mathrm{K}

than the diameter of cell

\mathrm{M}

? Write your answer in standard notation, rounding to the nearest tenth.

\newline

Answer:

Write Cell Diameters: Write down the diameters of both cells in scientific notation. $\newline$ Cell K diameter = $3.15 \times 10^{-3}$ centimeters $\newline$ Cell M diameter = $8.5 \times 10^{-4}$ centimeters
Calculate Ratio: To find out how many times larger the diameter of cell K is than the diameter of cell M, we need to divide the diameter of cell K by the diameter of cell M. $\newline$ $(3.15 \times 10^{-3}) \div (8.5 \times 10^{-4})$
Convert Exponents: Before dividing, we should convert the exponents to have the same base for easier calculation. Since $10^{-3}$ is the same as $10^{-4} \times 10^{1}$ , we can rewrite the diameter of cell K as: $\newline$ $(3.15 \times (10^{-4} \times 10^{1}))$ centimeters $\newline$ Now, we can divide the coefficients $(3.15 \div 8.5)$ and subtract the exponents $(1 - (-1))$ .
Perform Division: Perform the division of the coefficients and the subtraction of the exponents. $\newline$ $(3.15 \div 8.5) \times 10^{1 - (-1)}$ $\newline$ = $(0.3705882353) \times 10^{2}$
Round to Nearest Tenth: Round the result to the nearest tenth and write it in standard notation. $0.3705882353$ rounded to the nearest tenth is $0.4$ . So, the diameter of cell $K$ is $0.4 \times 10^2$ times larger than the diameter of cell $M$ .
Convert to Standard Notation: Convert the scientific notation to standard notation. $\newline$ $0.4 \times 10^2 = 40$