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Mr. Nakamora wants to test the accuracy of an old balance in his classroom compared to a brand new balance that he knows is accurate. He weighs an objec on the old balance and finds it to have a mass of 15.6 grams. The same object weighs 15.9 grams on the brand-new balance. What is the percent error between the old and new balance?

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Answer:

Percentage error between the old and the new balance is 1.89 %

Explanation:

Mr. Nakamora weighs an object on the old balance and finds it to have a mass of 15.6 grams. The same object weighs 15.9 grams on the brand-new balance.

The weight of an object in old balance, w₁ = 15.6 g

The weight of an object in new balance, w₂ = 15.9 g

Percentage error between the old and new balance is given by :

[tex]\%\ error=\dfrac{|w_1-w_2|}{w_2}\times 100[/tex]

[tex]\%\ error=\dfrac{|15.6-15.9|}{15.9}\times 100[/tex]

[tex]\%\ error=1.886\%[/tex]

or

[tex]\%\ error=1.89\%[/tex]

Hence, this is the required solution.

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