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1 meter is equal to 1,000 millimeters a. 1.25 x 10 -11 by 2.5 x 10 -9 millimeters b. 1.25 x 10 -6 by 2.5 x 10 -4 c. 1.25 x 10 -5 by 2.5 x 10 -3 millimeters d. 1.25 x 10 -10 by 2.5 x 10 -8 millimeters

1 answer

To perform the multiplications you've provided in millimeters, we can simply multiply the numbers in scientific notation.

a. \( 1.25 \times 10^{-11} \times 2.5 \times 10^{-9} \)

  1. Multiply the coefficients: \( 1.25 \times 2.5 = 3.125 \)
  2. Add the exponents: \( -11 + (-9) = -20 \)

So,

\[ 1.25 \times 10^{-11} \times 2.5 \times 10^{-9} = 3.125 \times 10^{-20} \text{ mm} \]

b. \( 1.25 \times 10^{-6} \times 2.5 \times 10^{-4} \)

  1. Multiply the coefficients: \( 1.25 \times 2.5 = 3.125 \)
  2. Add the exponents: \( -6 + (-4) = -10 \)

So,

\[ 1.25 \times 10^{-6} \times 2.5 \times 10^{-4} = 3.125 \times 10^{-10} \text{ mm} \]

c. \( 1.25 \times 10^{-5} \times 2.5 \times 10^{-3} \)

  1. Multiply the coefficients: \( 1.25 \times 2.5 = 3.125 \)
  2. Add the exponents: \( -5 + (-3) = -8 \)

So,

\[ 1.25 \times 10^{-5} \times 2.5 \times 10^{-3} = 3.125 \times 10^{-8} \text{ mm} \]

d. \( 1.25 \times 10^{-10} \times 2.5 \times 10^{-8} \)

  1. Multiply the coefficients: \( 1.25 \times 2.5 = 3.125 \)
  2. Add the exponents: \( -10 + (-8) = -18 \)

So,

\[ 1.25 \times 10^{-10} \times 2.5 \times 10^{-8} = 3.125 \times 10^{-18} \text{ mm} \]

Summary of Results:

  • a: \( 3.125 \times 10^{-20} \) mm
  • b: \( 3.125 \times 10^{-10} \) mm
  • c: \( 3.125 \times 10^{-8} \) mm
  • d: \( 3.125 \times 10^{-18} \) mm