Question

8.0×10 0 2.64×10 −3 ​ = ? in scientific notation

A) 8.0×10^−3
B) 0.002112×10^1
C) 2.112×10^−2
D) 2.112×10^−3
E) 0.2112×10^0

Answer 1

The product of 8.0×100 and 2.64×10−3 is 2.112×10−2, which is option C, expressed in proper scientific notation.

Step-by-step explanation:

To calculate 8.0×100 × 2.64×10−3, we simply multiply the numbers and add the exponents:

1. Multiply the significant figures (the numbers without the exponents): 8.0 × 2.64 = 21.12.
2. Add the exponents: 0 + (−3) = −3.
3. Since 21.12 is not between 1 and 10, we need to adjust this to put it in proper scientific notation. Moving the decimal point one place to the left gives us 2.112, and we must increase the exponent by 1 to compensate, resulting in 2.112×10−2.

The correct answer is C) 2.112×10−2, which is in scientific notation.