Measurement Errors and Proportional Relationships

The video tutorial covers measurement error, focusing on how precision varies with different tools. It includes activities measuring line segments, a soccer field, and classroom items, demonstrating how to calculate measurement error as a percentage. The tutorial concludes with homework problems to reinforce the concepts.

Why is precision important when measuring with different tools?

• It ensures the measurements are always correct.

• It reduces the need for multiple measurements.

• It allows for faster measurements.

• It helps in estimating the length more accurately.

What is the measurement error if the actual length is 6.7 cm and the measured length is 7 cm?

• 0.45%

• 4.48%

• 0.3%

• 0.3 cm

How do you express measurement error as a percentage?

• Add the error to the measured value and multiply by 100.

• Subtract the error from the actual value and multiply by 100.

• Divide the error by the actual value and multiply by 100.

• Divide the error by the measured value and multiply by 100.

What is the percentage error if a soccer field is measured as 358 ft 10 in, but the actual length is 360 ft?

• 0.14%

• 0.45%

• 1.24%

• 0.324%

In the classroom activity, what is the percentage error if a pencil is measured as 15 cm but the actual length is 14.8 cm?

• 1.35%

• 0.67%

• 0.2%

• 1.5%

What is the correct measurement if Jada measures the depth of a lake as 16 m, but the actual depth is 15.8 m?

• 15.8 m

• 16 m

• 15.9 m

• 15.7 m

If a watermelon weighs 8,475 g and is measured with a 12% error under the actual weight, what is the measured weight?

• 7,458 g

• 7,458 g

• 8,475 g

• 9,492 g

How do you calculate the actual temperature if a thermometer reads 76°F with a 2% greater reading?

• Divide 76 by 1.02

• Multiply 76 by 1.02

• Add 2% to 76

• Subtract 2% from 76

What is the new amount of peanut butter if there is 1/3 less than the original 80 oz?

• 80 oz

• 26.67 oz

• 60 oz

• 53.33 oz

Is the relationship between the side length and area of a square proportional?

• Yes, because the area is always a multiple of the side length.

• No, because the area increases exponentially with the side length.

• Yes, because both are measured in the same units.

• No, because the side length is always squared.