Which of the following values COULD be a magnitude? Choose all that apply.
1. -109
2. 0
3. 0.024
4. 44.3
5. -3.81
6. 183
7. 68
All of them.
To determine whether a value could be a magnitude, we need to understand what magnitude means in the context of numbers. In mathematics, magnitude refers to the numerical value or size of a quantity, without considering its direction or sign. Magnitude is always positive or zero, as it does not take into account whether a number is positive or negative.
Looking at the given values, we can identify the magnitudes:
1. -109 - This value is negative, so it cannot be a magnitude.
2. 0 - This value is neither positive nor negative, so it can be a magnitude.
3. 0.024 - This value is positive, so it can be a magnitude.
4. 44.3 - This value is positive, so it can be a magnitude.
5. -3.81 - This value is negative, so it cannot be a magnitude.
6. 183 - This value is positive, so it can be a magnitude.
7. 68 - This value is positive, so it can be a magnitude.
Therefore, the values that could be magnitudes are:
2. 0
3. 0.024
4. 44.3
6. 183
7. 68