Question

Five decimal numbers are represented on the number line above. Write an expression for each given result and use one or more complete sentences to explain why your expression will have the given result. a negative product a positive quotient a negative sum a positive difference

Answer 1

To represent a negative product, we multiply numbers with opposite signs. A positive quotient is obtained by dividing two numbers with the same sign. A negative sum is obtained by adding numbers with opposite signs. A positive difference is obtained by subtracting a smaller number from a larger number.

Step-by-step explanation:

To represent a negative product, we need to multiply two numbers with opposite signs. For example, (-2) * 3 = -6. Multiplying a positive number by a negative number always gives a negative product.

To represent a positive quotient, we need to divide a positive number by a positive number or a negative number by a negative number. For example, 6 / 2 = 3, and (-6) / (-2) = 3. Dividing a negative number by a positive number or a positive number by a negative number always gives a positive quotient.

To represent a negative sum, we need to add two numbers with opposite signs. For example, (-2) + 3 = 1. Adding a positive number to a negative number always gives a negative sum.

To represent a positive difference, we need to subtract a smaller number from a larger number, regardless of the signs. For example, 5 - 2 = 3. The difference will always be positive.