Final answer:
To add a new set of numbers to his list, Joshua should simply append them to the list. The need for any of the suggested operations (absolute values, multiplication, subtraction from 10) does not apply unless specified by the context. When adding numbers, Joshua should consider the sign rules and the rules for scientific notation if applicable.
Step-by-step explanation:
If Joshua wants to add a new set of numbers to his existing list, he simply needs to append them to the list. None of the operations mentioned in the choices are necessary unless specified by additional context or instructions not provided in the question. When adding numbers, Joshua should follow certain rules depending on the signs of the numbers:
- When two positive numbers are added, the answer is positive, e.g., 3+2 = 5.
- When two negative numbers are added, the answer is negative, e.g., -4 + (-2) = -6.
- When two numbers with opposite signs are added, subtraction is used and the result takes the sign of the larger number, e.g., -5 +3 = -2.
- In case of subtraction, invert the sign of the second number and then add according to the rules above.
For multiplication, the rules are:
- When two positive numbers multiply, the answer is positive, e.g., 2x3 = 6.
- When two negative numbers multiply, the answer is also positive, e.g., (-4) x (-3) = 12.
- If the numbers multiplied have opposite signs, the answer is negative, e.g., (-3) x 2 = -6.
To work with numbers in scientific notation, Joshua should:
- Ensure all numbers are expressed with the same exponent base.
- Perform addition or subtraction on the coefficients.
- Adjust the result to ensure a number between 1 and 10 for the coefficient, if necessary.
All these principles apply when Joshua is dealing with whole numbers, exponential numbers, or scientific notation in adding new numbers to his list.