Worked in columns with units attached, eight SC180 Unit 1 measurement problems carry conversions, significant figures and a density found from a copper block's dimensions. Searches like "sc 180 unit 1 assignment example", "sc180 unit 1 sample" and "sc180 unit 1 example" land here.
What a finished SC180 Unit 1 measurement problem set looks like
Each problem occupies its own block: the question restated in one line, the given quantities listed with units, the conversion factors written as fractions, and the answer boxed with its unit. Problem one counts significant figures in five recorded values, 0.004050 among them, and names the rule that decides each count. Problem three turns 55.0 miles per hour into 24.6 meters per second through two factors, with miles and hours struck through as they cancel. Problem five takes 98.6 degrees Fahrenheit to 37.0 degrees Celsius and then to 310.2 K, keeping the tenths place throughout. The density problem multiplies 2.50 by 3.10 by 1.20 centimeters to get 9.30 cubic centimeters, divides 83.2 grams by it, and reports 8.95 grams per cubic centimeter, close enough to copper's handbook value to identify the metal.
How a SC180 Unit 1 example is structured
The set usually follows the order the unit teaches. Measurement vocabulary and significant figures come first, because every later answer depends on them: which zeros count, why a defined factor such as 2.54 centimeters per inch is exact and never limits a result, and how addition and multiplication round differently. Single-step conversions follow, then chained ones, then problems that combine a conversion with a derived quantity such as density or volume. Scientific notation appears wherever trailing zeros would blur the precision, so a solution's mass is written 1.35 x 10^3 grams rather than an ambiguous 1350. A short key at the top states the conventions once: units on every quantity, rounding only at the final line, and a note beside each answer naming the measurement that fixed its precision. The last problem closes on a reasonableness check against a reference table.
Zeros sorted by position
Leading zeros in 0.004050 only locate the decimal point, while the trailing zero after the 5 was measured. The answer states four significant figures and gives the reason for each digit counted.
Factors written as fractions
Every conversion factor appears as a fraction oriented so the unwanted unit sits opposite itself and cancels. Miles cancel against miles and hours against hours on the page, not in the head.
Exact numbers kept out of the count
Defined relationships, 2.54 centimeters per inch and 1000 milliliters per liter, carry unlimited precision. The key says so once, which keeps a three-figure answer from being cut to two for no reason.
One rounding, at the end
Intermediate values keep extra digits, and the final answer is rounded once to the precision the measured inputs allow. The density line carries 8.946 before settling on 8.95.
A value tested against the handbook
The copper block's computed density sits a hundredth below the tabulated 8.96 grams per cubic centimeter, and the set says so, which shows the result was checked rather than trusted.
Where marks go in SC180 Unit 1
Most lost points in a first-unit set come from answers without units, a bare 24.6 that could be a speed in any system. Significant figures cost the next largest share: the calculator's 8.946236559 reported in full, or each intermediate step rounded so the final digit drifts. Temperature conversions slip when 273.15 is added to a Fahrenheit value directly, or when a Kelvin answer is written with a degree sign. An inverted factor is easy to spot when units are shown and costly when they are not, since the grader cannot tell a slip from a misunderstanding. Defined constants treated as measured, a result cut to two figures because an exact 12 inches per foot looked short, draw a precision deduction. Skipping the reference comparison forfeits the reasoning credit attached to the final problem.
Get a SC180 Unit 1 example written to your instructions
Paste in the Unit 1 problems in the order your SC180 section numbered them, with the rubric or answer format your instructor specified. Every problem comes back worked in the same column layout, units on every line and precision stated beside each answer. A first set like this is free, typically ready within 24-48h.
SC180 Unit 1 questions, answered
Why does my answer need units if the number is right?
Because a number alone does not say what was measured. In SC180, 24.6 could be meters per second or kilometers per hour, and a grader cannot award a conversion problem without seeing which. Units also expose inverted factors: if the final line reads miles squared per second, the setup went wrong, and the page shows exactly where.
Do exact numbers count toward significant figures?
No. Counted values and defined conversions, such as 2.54 centimeters in an inch or 1000 milliliters in a liter, are treated as having unlimited precision. Only measured quantities limit the answer. Many first-unit sets include one problem built to test this, where cutting the result to match a defined factor loses a digit the data actually support.
Should the density problem compare my answer to a table?
If the prompt names a material or asks for an identification, yes. A computed density within a small margin of a handbook value supports the identification, and a large gap signals an error in the measurement or the arithmetic. The comparison takes one sentence and turns a calculation into a small argument, which is where later SC180 units are heading.