Which of the following gives an example of a set that is closed under multiplication? choose all that apply. the product of a prime number and a prime number the product of an odd number and an odd number the product of a negative number and a negative number the product of a positive number and a positive number

The examples which shows that a set is closed under multiplication is:

A set "P" is closed under multiplication means :

If a,b∈P

Then ab∈P

a)

The product of a prime number and a prime number.

This set is not closed under multiplication.

Because 2,3 both belongs to the set of prime numbers.

But 2×3=6 is not a prime number.

b)

The product of an odd number and an odd number .

This set is closed under multiplication.

Since multiplication of two odd numbers is always a odd number.

c)

The product of a negative number and a negative number.

This set is not closed under multiplication.

Since the product of 2 negative numbers is always a positive number.

d)

The product of a positive number and a positive number.

This set is  closed under multiplication.

Since the product of 2 positive numbers is always a positive number.

could you reply to this with the question so i can ?

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.