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Why is the product of positive numbers positive?
Multiplication is shorthand for repeated addition, for example 5 × 4 is the same as 5 + 5 + 5 + 5 or 4 + 4 + 4 + 4 + 4. Repeatedly adding a positive number to itself will result in a positive number.
Is a rational number closed for addition and for multiplication?
A rational number is not. But the set of ALL rational numbers is.
Which of the basic rules of arithmetic are true when you restrict the number system to the positive integers?
Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.
Can you add two rational numbers and get an irrational number?
No. The set of rational numbers is closed under addition (and multiplication).
What is a positive plus a positive equal?
Rules of operators additon and multiplication (+) + (+) = + (+) + (-) OR (-)+(+)= sign of bigger number (-) + (-) = -(operation is addition but sign is -) (+) * (+) = + (-) * (-) = + (+) * (-) OR (-)*(+)= -
What is a positive paired with a negative?
In multiplication/division the answer will always be negative and in addition/subtract the answerwill have the sign of the larger number
Does a negative number plus a postive number equal a negative?
In addition, it depends on which is larger. In multiplication, a negative times a positive is alway negative.
Is the set of composite number closed under multiplication?
Is { 0, 20 } closed under multiplication
Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Will the opposite of a number always sometimes or never be a positive number?
The opposite of a number depends on what the relevant operation is. For addition or multiplication - the two common operators - the answer to the question depends on what the first number is.
What combines multiplication and addition by multiplying each addend by the number and adding the products?
The distributive property of multiplication over addition.
How is addition and multiplication different?
Multiplication is repeated adding. Addition is a number with another number combined for a total.
