Question

Work out the value (1.7×10^4)×(8.5×10^−2)and express the answer in standard form.

a) 1.445×10^3
b) 1.445×10^2
c) 14.45×10^3
d) 14.45×10^2

Answer 1

To multiply numbers in scientific notation, multiply the coefficients and add the exponents.

Step-by-step explanation:

To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents. For example, (1.7×10^4)×(8.5×10^−2) equals 1.7 × 8.5 × 10^4 × 10^(-2). Multiplying the coefficients gives 14.45, and adding the exponents gives 4 + (-2) = 2. So the answer is 14.45 × 10^2, which is option d) in standard form.