Question

part 3: scientific notation

1. write the following numbers in scientific notation:

a. 9302000
b..0000004500
c. 34000
d..002000
e. 980000.0

1. complete the following calculations:

a. (4.90 x 10^9) x (2.7 x 10^4)
b. (9.00 x 10^4) x (4 x 10^-8)
c. (8.4 x 10^17) + (2.10 x 10^4)
part 4: accuracy, precision, and si units

1. contrast accuracy and precision. is it possible to be precise, but not accurate?
2. give the si base units for:

a. length-
b. mass-
c. time-
d. temperature-
e. chemical quantities-

1. how does a quantitative measurement differ from a qualitative one? give an example of each.

part 5: directly and inversely proportional
write the general equation and sketch a graph of a direct relationship and an inverse relationship:

Explanation:

Part 3: Scientific Notation

1a. 9,302,000

Step1: Move decimal 6 places left

$9.302 \times 10^6$

1b. 0.000004500

Step1: Move decimal 6 places right

$4.500 \times 10^{-6}$

1c. 34,000

Step1: Move decimal 4 places left

$3.4 \times 10^4$

1d. 0.02000

Step1: Move decimal 2 places right

$2.000 \times 10^{-2}$

1e. 980,000.0

Step1: Move decimal 5 places left

$9.8 \times 10^5$

2a. $(4.90 \times 10^3) \times (2.7 \times 10^4)$

Step1: Multiply coefficients

$4.90 \times 2.7 = 13.23$

Step2: Add exponents

$10^{3+4} = 10^7$

Step3: Adjust to scientific notation

$1.323 \times 10^8$

2b. $(9.00 \times 10^4) \times (4 \times 10^{-9})$

Step1: Multiply coefficients

$9.00 \times 4 = 36$

Step2: Add exponents

$10^{4-9} = 10^{-5}$

Step3: Adjust to scientific notation

$3.6 \times 10^{-4}$

2c. $(8.4 \times 10^{11}) \div (2.10 \times 10^4)$

Step1: Divide coefficients

$8.4 \div 2.10 = 4$

Step2: Subtract exponents

$10^{11-4} = 10^7$

Step3: Combine results

$4 \times 10^7$

Part 4: Accuracy, Precision, and SI Units

1. Contrast accuracy and precision. Is it possible to be precise but not accurate?

Accuracy: closeness to true value; Precision: measurement consistency. Possible to be precise but inaccurate.

SI base unit for length.

SI base unit for mass.

Answer:

Accuracy is the closeness of a measurement to the true value, while precision is the consistency of repeated measurements. Yes, it is possible to be precise but not accurate (e.g., a scale that consistently measures 10g more than the actual mass is precise but not accurate).

2a. Length-