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

Answer 1

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