Question

Your class is reviewing how to sign numbers, and your teacher has recognized that you need extra help with the numbers 60-100. Which of the following statements would your teacher use in his review about signing numbers 60-100?

1) The number 75 is negative
2) The number 90 is positive
3) The number 82 is negative
4) The number 100 is positive

Answer 1

In the context of signing numbers between 60-100, any number without an explicit negative sign, such as 90, is considered positive. Rules for calculating with positive and negative numbers specify that results depend on the signs of the numbers involved; however, in this case, we are simply identifying the positivity or negativity of individual numbers, not conducting operations with them.

Step-by-step explanation:

When considering the signs of numbers, numbers without a sign are considered positive by default. Therefore, in the context of signing numbers between 60-100, the statement your teacher would use in the review is 'The number 90 is positive', which adheres to the understanding that any number without an explicit negative sign is a positive number.

The rules for calculating with positive and negative numbers are as follows:

• When two positive numbers add, the result is positive (e.g., 3+2 = 5).
• When two negative numbers add, the result is negative (e.g., -4 + (-2) = -6).
• When adding two numbers with opposite signs, the result takes the sign of the larger number in absolute value (e.g., -5 +3 = -2).
• In multiplication and division, the result is positive if the signs of both numbers are the same, and negative if the signs are different.

Therefore, numbers such as 75, 82, and 100 in this context are also considered positive unless specifically denoted with a negative sign.