To multiply numbers in scientific notation, first multiply the numbers that do not have a base of 10 and then add the exponents of the bases of 10. Essentially:
[tex](a \cdot 10^b)(c \cdot 10^d)[/tex]
[tex](a \cdot c) \cdot (10^{(b + d)})[/tex]
In this case, we see that the numbers that do not have bases of 10 are 2.3 and 3.1. Multiplying these numbers gives us:
[tex]2.3 \cdot 3.1 = 7.13[/tex]
The exponents on the bases of 10 are -5 and 1. Adding these exponents gives us -4, which we can add to our final base of 10.
Thus, our answer is:
[tex]\boxed{7.13 \cdot 10^{-4}}[/tex]
Answer:
5,635.8
Step-by-step explanation:
We are to multiply (2.3 × 10 - 5)(3.1 × 101)
Applying PEMDAS;
We solve the brackets first and multiply to get:
(23 - 5)(313.1)
Subtracting gives;
(18)(313.1)
Finally; 18 × 313.1 = 5,635.8
