Why the product of a multiple of ten and a multiple of ten will always have only one zero
Only when the integers are the same but otherwise no.
The LCM is a concept that makes sense for a set of non-zero integers. Otherwise, 0 is always the LCM of any set of numbers - even if none of them is 0.
Zero, always.
The concepts of GCF and LCM are restricted to positive integers. Zero can be considered a multiple of every number. That would make it the LCM of every set of positive integers, making the concept essentially meaningless.
A prime number is one that has only 2 factors, itself and one. A composite number is one that can be written as the product of two numbers that are not itself. By these definitions, 1 and 0 fail to be either composite or prime. 1 can only be divided by one, so it does not have the 2 necessary factors to be prime or the multiple required to be composite. 0 on the other hand can be divided evenly by every number, but no two numbers that are not 0 can be multiplied to get a product of 0.
Yes, the product of a multiple of 10 will always have a zero in the ones place. This is because any multiple of 10 can be expressed as (10 \times n), where (n) is an integer. Since multiplying by 10 shifts the digits to the left and adds a zero in the ones place, the result will always end in zero.
I am not entirely sure what you mean; a multiple of 10 can have more than one zeros. For example, 20 x 10 = 200.
The product of zero and any number is always 0.
No, but the only exception is if the rational number is zero.
Anytime you multiply a number by zero, the product will always be zero. Thus, whenever a number, regardless of its value, is multiplied by zero, there is only one possible solution: zero.
Yes.
When you divide zero by anything or multiple anything by zero, the answer will always be zero.
0: The product of 0 and any number, including zero itself. is always zero.
The digit with which a multiple of 4 ends depends on the last digit of the other factor. If the last digit is a zero, the product ends with zero; if the last digit is a 1, the product ends with 4; etc. The only options for the last digit of the product are 0, 2, 4, 6, 8.
A multiple
Zero is a multiple of every whole number. This is because a multiple is defined as the product of a number and an integer, and since 0 multiplied by any integer is always 0, it follows that 0 is a multiple of all whole numbers.
If one is zero, then the product is always zero.(Think about it ... you take 279 zero times. How much do you have ?)