Number and Operations

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Across
  1. 3. I am the smallest non-zero number that appears as a result when two or more different numbers are multiplied by other whole numbers. What am I?
  2. 5. I am a historical numeration system that was additive, using symbols derived from hieroglyphics, such as the staff for 1 and the lotus flower for 1 000. Which system am I?
  3. 7. I am the way of writing down numbers, and my system utilizes place value in increasing powers of ten, using ten symbols (0 to 9). What am I?
  4. 8. I refer to the position or rank of an item in a series, such as 'second' or 'tenth'. What type of number am I?
  5. 10. I am the process of performing calculations in the correct order, starting with Brackets, then Orders, followed by Division and Multiplication, and finally Addition and Subtraction. What acronym guides my sequence?
  6. 11. I am the value of a digit determined by its position within a number, making the Hindu-Arabic system efficient. What am I?
  7. 13. I am a number used only as a name or to identify something, like a telephone number or a soccer jersey number, and I do not show quantity or rank. What type of number am I?
  8. 14. I am a number greater than one that is classified as non-prime because I can be divided by more factors than just 1 and myself. What am I?
  9. 16. I am a number that is exactly divisible into another number without leaving a remainder. In the equation 2×3=6, both 2 and 3 are examples of me. What am I?
  10. 17. I am a number found by multiplying by another number, and any given number has an infinite quantity of me. What am I?
Down
  1. 1. I am one of the fundamental laws of mathematics that applies to addition and multiplication, stating that the order in which you calculate the numbers does not matter, for example, a+b=b+a. What law am I?
  2. 2. I am a historical numeration system that used a positional base of 60, and although the concept of zero was understood, I did not initially have a digit for it. Which system am I?
  3. 4. I am the law that links addition and multiplication, allowing you to simplify calculations like 6×(300+4) to (6×300)+(6×4). What law am I?
  4. 6. I am an important theorem which states that any natural number greater than one can be written as a product of my kind. What am I when I am a factor that is also a prime number?
  5. 9. I am one of the fundamental laws of mathematics. I state that the way you group numbers in addition or multiplication does not change the result, such as (a×b)×c=a×(b×c). What law am I?
  6. 12. I answer the question: ‘How many?’ I show quantity, I am related to counting, and I must be a whole number. What type of number am I?
  7. 15. I am the number term that refers specifically to the set of symbols {1;2;3;4;5;6;7;8;9;0} used to write numbers down. What am I?