In your example, the easiest way to estimate the product would be to round each factor to the nearest 10, 100, 1,000 or whatever the factors are. So, for 6,893 * 556, round to 7,000 * 600 to get an estimate. Since both numbers are rounded up, you know your estimate will be high, but this is an easy way to get a close answer.
To be specific here, 7,000 and 600 would be multiplied to get 4,200,000. You multiply the first digits together, and then add the total number of zeroes in each rounded number to your answer.
The product of two even numbers is even. The product of two even numbers will be even. If they are both positive numbers, it will be greater than both of them. If one of them ends in 0, the product will end in 0.
Not always.
I'd choose 20 and 30 and estimate the product at 600. The actual answer is 625.
"Either" is used for two. I'll assume that you mean "larger than ANY of them". The following applies to ANY real numbers.For TWO numbers, the product is larger than either of them if both numbers are greater than one. For THREE numbers, the product is larger than any of them if the two numbers OTHER than the largest number have a product greater than one. For example: 0.5, 3, 5 The largest number here is 5; the product of the OTHER two is 0.5 x 3 = 1.5. Or here is an example with integers: -5, -3, 10 The product of the "other two" numbers is 15, which is larger than one - so the product of all three is larger than the largest number (and therefore, larger than ANY of them). Another example: -5, 1, 10 The product of the two numbers OTHER than the largest is -5 x 1 = -5; since this is NOT greater than 1, the product of all three is NOT greater than any of the numbers. This reasoning can be extended to four or more numbers. For 4 numbers: If the product of all three numbers OTHER than the largest one is GREATER than one, then the product of ALL FOUR numbers is greater than ANY of them.
As a product of its prime factors in exponents: 23*32*53 = 9000
By rounding off.
No. If one of the numbers is 0 it is less; if one of the numbers is 1 it is the same as one of them; otherwise the product is greater than either
The product will be greater than 1, when each of the two factors are greater than 1.
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.
The product of two even numbers is even. The product of two even numbers will be even. If they are both positive numbers, it will be greater than both of them. If one of them ends in 0, the product will end in 0.
Because summing and taking the product are two entirely different binary operations.
Not always.
When their GCF is greater than one.
137 and 0
no
No.
Their product.