How you do this? can you do the first one, i'll try the second one if you can explain
Perform the following operations and give the answear in standard exponential form with the correct number of significant figures
1) 37.2mL + 18.0mL + 380mL=
2) 0.57cm x 0.86cm x 17.1cm=
add the first. line up the decimals. Now notice that in the last, the zero in the units position is not a significant digit.
adding..435.2 milliliters
but after the tens digit, nothing is significant. So the answer is 440ml, and in standard form 4.4*101 ml.
To perform the first operation, you need to add the given volumes in milliliters:
1) 37.2mL + 18.0mL + 380mL = 435.2mL
When adding, make sure to line up the decimal points to properly add the numbers. In this case, the sum is 435.2 milliliters.
However, when determining the number of significant figures, you need to consider that zeros at the end of a number, which are after the tens digit, may or may not be significant. In this case, the zero in the units position is not a significant digit because it just denotes the unit itself.
Therefore, the final answer should have one significant figure after rounding, and it is 440mL. To write the answer in standard exponential form, you can write it as 4.4 × 10^1 mL.
If you'd like to try the second operation, here's how to solve it:
2) 0.57cm × 0.86cm × 17.1cm
To multiply these numbers, you simply multiply them together:
0.57 cm × 0.86 cm × 17.1 cm = 8.1426 cm^3
The product is 8.1426 cubic centimeters. However, for the number of significant figures, you need to consider the original values.
The given values have two significant figures each. When multiplying or dividing, the result should have the same number of significant figures as the least precise value.
In this case, the least precise value is 0.57 cm, which has two significant figures.
Therefore, the final answer should have two significant figures after rounding, and it is 8.1 cm^3. To represent it in standard exponential form, you can write it as 8.1 × 10^0 cm^3, but since 10^0 equals 1, you can simply write it as 8.1 cm^3.