Question

Use scientific notation to find the product of 7.13 × 10 -3 and 40. Include all of your calculations in your final answer.

Answer 1

`\large\boxed{2.852*10^(-1)}`

Explanation:

`\text{The scientific notation:}\\\\a*10^k,\ 1\leq a<10,\ k\in\mathbb{Z}\\\\(7.13*10^(-3))*40=(7.13*40)*10^(-3)=285.2*10^(-3)\\\\\text{Move the decimal point two places to the left,}\\\text{ increasing the exponent of the power of 10 also by 2}\\\\=2.852*10^(-3+2)=2.852*10^(-1)`

Answer 2

Answer: 2.852 × 10-1

Explanation:

7.13 x 10^-3 = 0.00713

0.00713 x 40 = 0.2852

0.2852 = 2.852 × 10-1