Math

If we multiply "a" and "b",when will:

a. the product be larger than both "a" and "b"?

b. the Product be less than "a"?
c. the product be less than "b"?

d. the product be less than"a" and "b"?

e. the product be greater than "a"?

f. the product be greater than "b"?

g. the product be greater than "a" and "b"?

h. the product be equal to either "a" and "b"?

i. the product be zero?


I suppose what you mean by "If we multiply "a" and "b..." is the product ab of a and b.
a) We want a<ab and b<ab
Consider when they have the same sign or different signs. If a and b are pos., then both a>1 and b>1
If both are neg., then a<ab and b<ab hold for all a,b negative.
If they have different signs then
a<ab or b<ab will not hold for one of them because ab<0 but one is greater than 0. Therefore the empty set with different signs.

All of the rest are along the same lines, except i). They can both be 0, but at least one of a,b must be 0.
Show some work so we can see where the difficulties are. I don't see how it helps if I do all of them. There are a lot of cases to consider, so you need to check your work carefully.

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Choose a number. Multiply by 2. Add 6 to the product. Divide by 2. Then subtract 3. What is the answer? Repeat this process using two different numbers.

  2. Math

    Add the quotient of 4/7 divided by 4/5 to the product of 4/7 multiply by 5/8

  3. Math

    When you multiply a whole number by 10, what is always true about the ones place in the product? Answer: It is always zero.. is this correct

  4. Algebra 1

    If you multiply a binomial by a trinomial, is the degree of the product always 5?

  1. math

    A fraction equivalent to 45/60 if you were to multiply the denominator by the numerator the product would be 192

  2. Economics

    Beachfront resorts have inelastic supply, and automobiles have an elastic supply. Suppose that a rise in population doubles the demand for both products (that is, the quantity demanded at each price is twice what it was). a. What

  3. Convert Metric Units: Show What You Know

    When You convert from a smaller unit to a larger unit, You need to multiply . So, You should move the decimal to the What?

  4. Math Check

    1. Select the word that correctly completes the sentence below To convert from a smaller unit to a larger unit, you ____ by a power of ten. A) Add B) Subtract C) Multiply **** D) Divide

  1. Math

    When u multiply a whole number by 10 ,what is always true about the ones place in the product

  2. Math

    Why do you multiply to change from larger unit to a smaller unit?

  3. Math

    Multiply. write each product in simplest form. 3 7/10 X 7

  4. AP Calculus

    In the answer space below, provide the larger of the two positive integers that add up to 60 and have the largest possible product.

You can view more similar questions or ask a new question.