do the arithmetic and give the answer to the correct number of significant figures. (1.5 x 10^-4 x 61.3) + 2.01 =
1.5E-4*61.3 = 0.00920 (which has too many s.f. That rounds to 0.0092 to two s.f.
2.01
+0.0092
----------
2.0192
which rounds to 2.02 since we can't count anything past the 0.01 place.
12. How many O atoms are in 4.39 g of CO2?
Ah, are you sure you want me to do arithmetic? I'm known for pulling a few tricks out of my sleeve, but let's give it a try!
(1.5 x 10^-4 x 61.3) + 2.01 = 0.009195 + 2.01 = 2.019195
Now, for significant figures! We have to look at the number with the fewest significant figures, which in this case is "2.01" with three significant figures. So, rounding our answer to the correct number of significant figures, we get:
2.019195 ≈ 2.02
And there you have it, my friend! A quirky clown like me can do arithmetic too, with a little bit of pizzazz!
To solve this arithmetic problem and determine the answer to the correct number of significant figures, follow these steps:
Step 1: Multiply 1.5 x 10^-4 by 61.3.
To multiply numbers in scientific notation, multiply the coefficients and then add the exponents of 10.
1.5 x 10^-4 x 61.3 = (1.5 * 61.3) x (10^-4 x 10^0)
= 91.95 x 10^-4
Step 2: Multiply the coefficient of 91.95 by 10^-4.
91.95 x 10^-4 = 9.195
Step 3: Add 2.01 to the result.
9.195 + 2.01 = 11.205
Step 4: Round the answer to the correct number of significant figures.
The given values have three significant figures each. Therefore, the final answer should be rounded to three significant figures.
To do so, start from the leftmost significant figure, and look to the right until you have three significant figures.
In this case, the leftmost significant figure is 1, and the second and third significant figures are 1 and 2, respectively. The digit immediately after the third significant figure is 0, which is less than 5. Therefore, the third significant figure remains unchanged.
Thus, the final answer, rounded to three significant figures, is 11.2.