Respuesta :
1. True: the absolute value works exactly in this way: it turns negative numbers into their positive counterpart (e.g.: |-3|=3), and it does nothing on positive numbers (e.g.: |10|=10). So, the absolute value of a negative number will always be a positive number.
2. True (see above)
3. False: for example, you can pick -100 and 30. Their absolute value is 100 and 30, and 100>30. So, the absolute value of a negative number is greater the absolute value of a positive number.
To decide whether the statements are true or false we need to learn about the absolute number.
Absolute number (or modulus): An absolute value of any number is the value of the number without its sign.
For example,
|-8| = 8,
|12| = 12, etc.
1. The absolute value of a negative number will always be a positive number.
The statement is true. As discussed above, about the absolute number. therefore, the absolute value of a negative number will always be a positive number.
for example, |-24| = 24
2. The absolute value of any number will always be a positive number.
The statement is true. As discussed above, about the absolute number. therefore, the absolute value of any number will always be a positive number.
for example, |-24| = 24
3. Positive numbers will always have a higher absolute value than negative numbers.
The statement is false. As discussed above, about the absolute number. therefore, the absolute value of any number will always be a positive number, which will be equal in value. Thus, the statement is false.
for example, |-24| = 24
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