Question

A baking scale measures mass to the tenth of a gram, up to 650 grams. A cup of flour is placed on the scale and results in a measure of 121.8 grams. Which of the following statements is not true?

The exact mass of the cup of flour must be between 121.7 and 121.9 grams.
The cup of flour has a mass of exactly 121.8 grams.
Given the limitations of the scale, the measurement has an appropriate level of accuracy.
To the nearest gram, the cup of flour has a mass of 122 grams.

Answer 1

Explanation:

A baking scale measures mass to the tenth of a gram, up to 650 grams. A cup of flour is placed on the scale and results in a measure of 121.8 grams. [ Which of the following statements is not true? a.The exact mass of the cup of flour must be between 121.7 and 121.9 grams.

Answer 2

The statement "The cup of flour has a mass of exactly 121.8 grams" is not true.

Since the baking scale measures mass to the tenth of a gram, it means it can measure values such as 121.7 grams, 121.8 grams, and 121.9 grams. However, it does not have the capability to measure beyond the tenths place, so it cannot determine whether the exact mass of the cup of flour is exactly 121.8 grams. Therefore, the statement claiming an exact mass is not true.

The other statements are all true:

• - The exact mass of the cup of flour must be between 121.7 and 121.9 grams because the scale can measure to the tenth of a gram.

• - Given the limitations of the scale, the measurement has an appropriate level of accuracy. The scale measures to the tenth of a gram, which is suitable for measuring ingredients in baking.

• - To the nearest gram, the cup of flour has a mass of 122 grams. Since the scale measures to the tenth of a gram, the rounded value to the nearest gram would be 122 grams.

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