Answer:
- 54300 L = 5.43 x 10⁴ L.
- 0.015 moles = 1.5 x 10⁻² moles.
- .625 grams = 6.25 x 10⁻¹ grams.
Step-by-step explanation:
Measurements => Scientific Notation.
First, let's remember the concept of scientific notation: scientific notation is a way to express numbers as the product of two numbers: a coefficient and the number 10 raised to a power. The absolute value of the coefficient is greater than or equal to 1 but it should be less than 10. This is a very useful tool to write very large and small numbers. Remember when working with small numbers, we use a negative exponent.
Let's analyze each given number:
- 54300 L: We have to write the coefficient using one unit as we saw in the definition with decimals with their respective 10 raised to a power. The coefficient would be 5.43 (5.43 is greater than 1 but less than 10). You can realize that we have to multiply 5.43 by 10000 to obtain 54300 L, and 10000 equals 10⁴, so we will have that 54300 L = 5.43 x 10⁴ L.
- 0.015 moles: In this case, the coefficient would be 1.5 and we have to multiply this number by 0.01. This is because 0.015 is a very small number, so you can realize that we have two zeros in 0.01, so we will have to multiply 1.5 by 10⁻², so the answer is 0.015 moles = 1.5 x 10⁻² moles.
- .625 grams: .625 is the same that 0.625. The coefficient would be 6.25 and we have to multiply this number by 0.1 to obtain 0.625. As 0.1 has one zero, we will have that 0.1 is the same that 10⁻¹, so the answer would be .625 grams = 6.25 x 10⁻¹ grams.