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6. for each balance in model 2, write a phrase to describe how closely …

Question

  1. for each balance in model 2, write a phrase to describe how closely the mass of an object can be determined using that balance. the first one is done for you. balance pro: estimated to the nearest 1 gram.

a. centi - balance:
b. super balance:

  1. pebble a and pebble b both have a mass of 0 g on the balance pro in model 2. do these pebbles really have no mass? if no, explain why the balance has this reading.
  2. which balance is sensitive enough to determine if pebble a has a mass larger or smaller than pebble b?
  3. the mass reading of pebble a from the super balance is 0.020 g. this value is very close, but different than, the mass reading for pebble b on that same balance. three zeros in the mass reading for pebble a is the most significant in terms of determining whether pebble a has a different mass than pebble b, and circle the zero below. mass pebble a = 0.020 g

Explanation:

Step1: Analyze Centi - Balance precision

Centi - Balance measures to the nearest 0.01 g.

Step2: Analyze Super - Balance precision

Super - Balance measures to the nearest 0.001 g.

Step3: Answer question 7

No, the pebbles have mass. The Balance Pro has a limited precision (estimated to the nearest 1 g), so small masses are rounded to 0 g.

Step4: Answer question 8

The Super - Balance is the most precise among them, so it is sensitive enough to determine if pebble A has a larger or smaller mass than pebble B.

Step5: Answer question 9

The first non - zero digit and the digits after it are significant. In 0.020 g, the 2 and the 0 after it are significant. The leading zeros are not significant in terms of determining the mass value for comparison.

Answer:

  1. a. Estimated to the nearest 0.01 g

b. Estimated to the nearest 0.001 g

  1. No, the pebbles have mass. The Balance Pro has limited precision and small masses are rounded to 0 g.
  2. Super Balance
  3. The zero after the 2 (in 0.020) is significant for determining mass differences.