Table of Contents
- 1 Is the product of two numbers always greater than their sum?
- 2 What is the rule for finding the product of two integers with different signs?
- 3 How do you find the product of 2 integers?
- 4 Is the product of two integers always on integers?
- 5 What is the first integer greater than 2?
- 6 Is there a proof that every even integer is a prime number?
Is the product of two numbers always greater than their sum?
A product of two numbers is always greater than the sum of the same two numbers, provided that the numbers are not 1, themselves. 2*3 is 6 as compared to 2+3 which is 5. The sum as well as the product is always greater than either of the two numbers, individually.
What is the rule for finding the product of two integers with different signs?
The rule states that if the signs of the two integers are different then the final answer will be negative. Example 2: Multiply the integers below. Solution: Multiply the absolute values of the two numbers. Since we are multiplying integers having the same sign, the final answer (product) should be positive.
How do you know if the sum of 2 integers will be positive?
Rule: The sum of any integer and its opposite is equal to zero. Summary: Adding two positive integers always yields a positive sum; adding two negative integers always yields a negative sum. To find the sum of a positive and a negative integer, take the absolute value of each integer and then subtract these values.
How do you find the larger of two integers?
Algorithm to find the greatest of two numbers
- Ask the user to enter two integer values.
- Read the two integer values in num1 and num2 (integer variables).
- Check if num1 is greater than num2.
- If true, then print ‘num1’ as the greatest number.
- If false, then print ‘num2’ as the greatest number.
How do you find the product of 2 integers?
To multiply two integers:
- First, multiply the absolute value of the factors.
- Next, determine the sign of your product according to the following rules: A positive number times a positive number equals a positive number.
- Your product will be your result from step 1 with the sign from step 2.
Is the product of two integers always on integers?
Step by Step Explanation: We know that integers are closed with respect to multiplication. This means that on multiplying two integers we get the result as an integer. Thus, the product of two integers is always an integer.
How can you identify if the product of two integers is negative?
RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of two positive integers is positive. RULE 3: The product of two negative integers is positive. RULE 1: The quotient of a positive integer and a negative integer is negative.
How do you determine if the sum of two integers with different signs is positive or negative?
What is the first integer greater than 2?
If we are starting with integers greater than 2, then the first integer would be 3. Both 2, and 3 are prime numbers, but 0 and 1 are not. So what two primes would you add together to sum to 3?
Is there a proof that every even integer is a prime number?
The net is full of claimed proofs: none has survived serious scrutiny; most are utter nonsense. It has been verified for all even numbers greater than two and less than 4 ⋅ 10 17, but of course this is not a proof. However, it has been proved that every even integer greater than two is the sum of at most four primes.
How to prove that the product of two odd numbers is odd?
Example. Prove that the product of two odd numbers is always odd. Product is the value obtained by multiplying. Try some examples: , , . For these examples, odd x odd = odd. To prove that it is true for all odd numbers, we can write two odd numbers as and , where and are integers.
How do you prove that two even numbers are even numbers?
If is an integer (a whole number), then the expression represents an even number, because even numbers are the multiples of 2. The expressions and can represent odd numbers, as an odd number is one less, or one more than an even number. Prove that whenever two even numbers are added, the total is also an even number.