Questions: Question: Which of the following expressions is properly formed but DOES REQUIRE a unit conversion before being entered into a calculator? Answer: Select one from the below options: 6.0 cm+0.7 m 5.3 cm+5.5 cm 0.7 cm+8.5 g 3.3 cm+7.1 cm / s

Solution Steps

When adding or subtracting quantities, they must have the same units. If the units are different, a unit conversion is necessary to ensure consistency.

• Option 1: \(6.0 \, \text{cm} + 0.7 \, \text{m}\)

  • The units are centimeters and meters. These are different units of length, so a conversion is required.

• Option 2: \(5.3 \, \text{cm} + 5.5 \, \text{cm}\)

  • Both quantities are in centimeters. No conversion is needed.

• Option 3: \(0.7 \, \text{cm} + 8.5 \, \text{g}\)

  • The units are centimeters and grams. These are different types of measurements (length and mass), so they cannot be added directly.

• Option 4: \(3.3 \, \text{cm} + 7.1 \, \text{cm/s}\)

  • The units are centimeters and centimeters per second. These are different types of measurements (length and speed), so they cannot be added directly.

From the analysis, Option 1 requires a unit conversion because it involves adding lengths in different units (centimeters and meters).

Final Answer