The size of a certain cell is 2.5 × 10–9 m. Another cell is 1.5 × 103 times larger. How large is the larger cell in scientific notation?%0D%0A(1 point)%0D%0AResponses%0D%0A%0D%0A4 × 10–27m%0D%0A4 × 10 –27 m%0D%0A%0D%0A4 × 10–12m%0D%0A4 × 10 –12 m%0D%0A%0D%0A3.75 × 106m%0D%0A3.75 × 10 6 m%0D%0A%0D%0A3.75 × 10–6m
The larger cell is 3.75 × 10^6 m.
To find the size of the larger cell in scientific notation, we need to multiply the size of the smaller cell by the scale factor. The scale factor in this case is 1.5 × 10^3.
So, to find the size of the larger cell, we can multiply:
2.5 × 10^(-9) m * (1.5 × 10^3)
When multiplying numbers in scientific notation, we multiply the coefficients (2.5 * 1.5) and add the exponents (10^(-9) + 10^3).
2.5 * 1.5 = 3.75
10^(-9) + 10^3 = 10^(-9+3) = 10^(-6)
Therefore, the size of the larger cell in scientific notation is:
3.75 × 10^(-6) m
So, the correct answer is:
3.75 × 10^(-6) m
To find the size of the larger cell, we'll multiply the size of the smaller cell by 1.5 × 10^3.
Step 1: Write down the size of the smaller cell:
2.5 × 10^(-9) m
Step 2: Multiply the size of the smaller cell by 1.5 × 10^3:
(2.5 × 10^(-9)) × (1.5 × 10^3)
Step 3: Multiply the coefficients (2.5 × 1.5) and add the exponents (10^(-9) + 10^3):
(2.5 × 1.5) × (10^(-9 + 3))
Step 4: Calculate the multiplication of the coefficients:
3.75
Step 5: Calculate the addition of the exponents:
(-9 + 3) = -6
Step 6: Write the properly formatted answer in scientific notation:
3.75 × 10^(-6) m
Therefore, the size of the larger cell in scientific notation is 3.75 × 10^(-6) m.