What is 24388 in scientific notation? And. Give the answer to the following calculations in the proper number of significant figures? a. 25,30cm x 0.035cm.
To do scientific notation, place the decimal point to the right of the FIRST digit, then place a x 10, finally raise the power of 10 to a number to mentally move the decimal point to the correct number of places.
24388 = 2.4388 x 10^4
Here is a site that will give you the necessary information on significant figures.
http://www.chemteam.info/SigFigs/SigFigs.html
To convert a number to scientific notation, you need to express it in the form of `a × 10^n`, where `a` is a number between 1 and 10, and `n` is an integer.
For the number 24388, we need to determine the value of `a` and `n`. To do this, we count the number of decimal places we need to move the decimal point to have a number between 1 and 10.
In the case of 24388, we can start by moving the decimal point to the left until we have the first non-zero digit. In this case, the first non-zero digit is 2. So, we need to move the decimal point four places to the left.
As a result, we get 2.4388 × 10^4 in scientific notation.
Now, let's solve the math problem: 25.30 cm x 0.035 cm.
To determine the significant figures in the result, we need to follow these rules:
1. The product or quotient should have the same number of significant figures as the value with the fewest significant figures.
In this case, 25.30 has four significant figures, while 0.035 has two significant figures. Therefore, the result should also have two significant figures.
2. The result should be rounded to the appropriate number of significant figures.
Now, let's multiply the two numbers:
25.30 cm x 0.035 cm = 0.8855 cm²
Since we need to round to two significant figures, the final answer is 0.89 cm².