Measurements & Unit Conversions: Core Skills Check

Scientific Notation: Product of Small Numbers

1 pts

volume_mute

Evaluate the following product and express the answer in scientific notation:
\(0.00000000552 \times 0.0000000006188\)

\(3.42 \times 10^{-17}\)

\(3.42 \times 10^{-18}\)

\(3.42 \times 10^{-19}\)

\(5.52 \times 10^{-18}\)

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Correct Answer

Explanation

Multiplying Powers of Ten

1 pts

volume_mute

Without entering scientific notation into a calculator, evaluate:
\((4.506 \times 10^{4}) \times (1.003 \times 10^{2})\)

\(4.520 \times 10^{6}\)

\(5.509 \times 10^{6}\)

\(4.520 \times 10^{2}\)

\(4.520 \times 10^{8}\)

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Correct Answer

Explanation

From Scientific to Standard Notation

1 pts

volume_mute

Express the number \(6.022 \times 10^{23}\) in standard (decimal) notation.

0.00000000000000000000006022

60220000000000000000000

6022000000000000000000000

602200000000000000000000

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Explanation

Spot the Correct Metric Equalities

3 pts

volume_mute

Select every statement below that is a correct metric equality.

1 km = 10⁹ µm

1 cL = 10⁻⁸ ML

1 Ms = 10⁹ ns

1 km = 10⁶ µm

1 mg = 10⁻⁶ kg

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Explanation

Celsius Degree vs. Kelvin

1 pts

volume_mute

True or False: A change of one degree on the Celsius scale is equal in magnitude to a change of one kelvin.

True

False

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Explanation

Match the Speed to Its Equivalent

3 pts

Match each speed on the left with its correct converted value on the right. Where needed, use 1.602 km = 1.000 mi.

To complete the line match

Click on an item in the first group
Click on the match in the second group

To delete a match, double click on a line

Given Speed

52.09 km/h

67.3 km/h

60.0 mi/h

Equivalent

18.7 m/s

96.1 km/h

14.47 m/s

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Correct Answer

Explanation

Number or Unit?

2 pts

Every measured quantity is a number paired with a unit. Drag each item below into the correct category, based on the quantities “two dozen eggs” and “12.67 liters”.

drag and drop the selected option to the right place

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Explanation

Fill in the Metric Conversions

4 pts

Drag the correct power of ten into each blank.

1 km = (1) µm

1 Ms = (2) ns

1 cL = (3) ML

1 mg = (4) kg

Please drag and drop the selected option in the right place or type it instead

\(10^{15}\)

\(10^{-8}\)

\(10^{-6}\)

\(10^{9}\)

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Correct Answer

Explanation

Order the Values from Smallest to Largest

2 pts

Please drag and drop the options to sort them

Arrange the following values in order, from smallest to largest.

3.42 × 10⁻¹⁸

9.835 × 10²¹

6.022 × 10²³

4.520 × 10⁶

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Correct Answer

Explanation

Volume from Mass and Density

2 pts

Gold has a density of 19.3 g/cm³. Determine the volume of a gold bar with a mass of 2.884 kg.
Answer = (1) mL

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Explanation

Mass from Volume and Density

1 pts

volume_mute

Mercury has a density of 13.6 g/cm³. What is the mass of 12.67 L of mercury?

\(9.32 \times 10^{2}\ \text{g}\)

\(1.72 \times 10^{6}\ \text{g}\)

\(1.72 \times 10^{4}\ \text{g}\)

\(1.72 \times 10^{5}\ \text{g}\)

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Scientific Notation: Product of Small Numbers

Correct Answer

Explanation

Multiplying Powers of Ten

Correct Answer

Explanation

From Scientific to Standard Notation

Correct Answer

Explanation

Spot the Correct Metric Equalities

Correct Answer

Explanation

Celsius Degree vs. Kelvin

Correct Answer

Explanation

Match the Speed to Its Equivalent

Given Speed

Equivalent

Correct Answer

Explanation

Number or Unit?

drag and drop the selected option to the right place

Correct Answer

Explanation

Fill in the Metric Conversions

Correct Answer

Explanation

Order the Values from Smallest to Largest

Correct Answer

Explanation

Volume from Mass and Density

Correct Answer

Explanation

Mass from Volume and Density

Correct Answer

Explanation

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