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

Answer:$4.5\times10^6$ light bulbs

Step-by-step explanation:

Given : The number of bulbs produced by company in 1 week=$4.56\times10^3$ lights

Then the number of  bulbs produced by company in $9.36\times10^2$ weeks is given by :-

$4.56\times10^3\times9.36\times10^2\\\\=4.56\times9.36\times10^{3+2}\\\\=42.6816\times10^5\approx45\times10^5....\text{[To the nearest 5s]}\\\\=4.5\times10^6$light bulbs

Hence, the number of  bulbs produced by company in $9.36\times10^2$ weeks=$4.5\times10^6$ light bulbs

Answer 2

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