Question

Hurry!! A company produces 4.56x10³ light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36x10² weeks?

4.5x10¹ light bulbs
1.4x10⁵ light bulbs
4.5x10⁶ light bulbs
45x10⁶ light bulbs

Answer 1

4.5x10⁶ light bulbs
The actual answer is 4.26x10^6. multiply 4.56 and9.36 to get 42.6816 add the exponents of the 10^3 and 10^2 for 10^5 move the decimal 1 place to the left to get 4.26x10^6

Answer 2

Answer:
`4.5*10^6` light bulbs

Explanation:

Given : The number of bulbs produced by company in 1 week=
`4.56*10^3` lights

Then the number of bulbs produced by company in
`9.36*10^2` weeks is given by :-

`4.56*10^3*9.36*10^2\\\\=4.56*9.36*10^(3+2)\\\\=42.6816*10^5\approx45*10^5....\text{[To the nearest 5s]}\\\\=4.5*10^6`light bulbs

Hence, the number of bulbs produced by company in
`9.36*10^2` weeks=
`4.5*10^6` light bulbs