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Chapter 9: Problem 95

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. A 100 -milligram object weighs more than a 2-ounce object.

Short Answer

Expert verified
The statement 'A 100-milligram object weighs more than a 2-ounce object' is false. So the correct statement should be: 'A 100-milligram object weighs less than a 2-ounce object.' because 2 ounces is approximately 56700 milligrams which is heavier than 100 milligrams.

Step by step solution

01

Convert ounces to milligrams

To decide whether a 100-milligram object weighs more than a 2-ounce object, you have to be able to compare them in the same unit. Therefore, 2 ounces should be converted to milligrams. To do so, understand that 1 ounce equals approximately 28.35 grams and a gram is 1000 milligrams. So, multiply 2 ounces by 28.35 to get the value in grams and then multiply the resulting grams by 1000 to get the value in milligrams.
02

Compare the weights

After converting 2 ounces to milligrams, compare the result with 100 milligrams to see if it is larger or smaller. This comparison will give the answer to the exercise.
03

State the correct statement

Based on the comparison, if 2 ounces (in milligram) is larger than 100 milligram, then the initial statement is false and should be corrected to: 'A 100-milligram object weighs less than a 2-ounce object.' Otherwise, if 2 ounces (in milligram) is less than 100 milligram, then the initial statement is true.

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