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Why is the product of positive numbers positive?

Updated: 8/21/2019
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7y ago

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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.

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7y ago
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7y ago

It is because multiplication is defined as repeated addition and the set of positive numbers is closed under addition.

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Q: Why is the product of positive numbers positive?
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Related questions

Why do numbers have both positive and negative roots?

because you can get a positive number as EITHER a product of 2 positive numbers OR the product of the negatives of the SAME 2 numbers; the product of 2 negative numbers is positive.


Is product is plus or minus?

if 2 positive numbers are multiplied, then the product is positive. if 2 negative numbers are multiplied, the product is positive. if a positive and a negative number are multiplied, the product is negative.


What is the product of two negative and three positive numbers?

It is positive. Any product of an even number of negative numbers will be positive, regardless of how many positive numbers you have. Similarly any product of an odd number of negative numbers will be negative, regardless of how many positive numbers you have.


What is the sign of the product of 47 negative numbers and three positive numbers?

Negative because product of 47 negative numbers is negative and product of three positive number is Positive , so negative*positive = Negative.


The product of two posotive numbers or two negative numbers is?

The product of two positive numbers or two negative numbers is a positive number.


How do you find the product of two numbers when both numbers are positive?

It is a positive.


Why does the product of 4 negative numbers equal a positive?

If you know that the product of 2 negative numbers is positive, then the product of 4 negative numbers has to be positive. The product of the first two negative numbers is positive and the next two negative numbers is positive. Multiplying the product of the first two numbers (positive number) and the product of the last two numbers (also positive), is a positive number times a positive number which is positive. Let a, b, c and d be negative numbers: (a*b*c*d) = (a*b)*(c*d) (-ve*-ve*-ve*-ve)=(-ve*-ve)*(-ve*-ve)= (+ve)*(+ve) = (+ve)


The product of two numbers with different signs is always a negative?

The product of negative number and a positive number is always a negative. The product of two positive numbers, or two negative numbers, is always a positive.


What is the sign of the product of three integers with the same sign?

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Is the product of 7 positive numbers and 6 negative numbers a positive or negative number?

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Is the product of 33 negative numbers and 2 positive numbers a positive number or a negative number?

(The product of 33 negative numbers) x (2 positive numbers) = (negative sign) x (positive sign) = negative sign


Is the product of 33 negative numbers and 3 positive numbers a positive or negative number?

The product of all those numbers will always be a negative number.