*"Two" was the next finger, then "three" and so forth until you got to the last finger which was "ten." Each finger corresponded to the same one and only one number each time. For the number line above, "1" corresponds or is related to the red point, "2" is related to the green point, "3" is related to the blue point, and so forth.When we move to the right on the number line, we increase in numbers and when we move to the left, we decrease. On the number line above, we can see three types of numbers, or integers: negative numbers, zero, and positive numbers.*

bringing two or more numbers (or things) together to make a new total. Here we see that 6 6 6 (three 6s) make 18: It can also be said that 3 3 3 3 3 3 (six 3s) make 18 But we can also multiply by fractions or decimals, which goes beyond the simple idea of repeated addition: ...

The numbers to be added together are called the "Addends": ... Minuend − Subtrahend = Difference Minuend: The number that is to be subtracted from. Difference: The result of subtracting one number from another.

A number is the value Single digit numerals are the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Ten is the first double digit (2-digit) number, 100 is the first triple digit (3-digit) number, and 1,000 is the first 4-digit number.

Because they are like ‘laws of numbers,' we refer to them as axioms.

You will also see them referred to as properties of equality or properties of numbers.When you started counting on your fingers, each finger corresponded to a number.You always said "one" when you put your index finger up or pointed to it (for some people "one" is the thumb).This will become extremely important when we start subtraction.It will take on new meaning when we look at decimals and understand the decimal system.The negative numbers are to the left of zero, so they are less than zero.The positive numbers are to the right of zero, so they are greater than zero.A number sentence is a way of showing that two expressions have a relationship. In the example, one expression is "3 cats" and the other is the picture of the three cats.An "equals" sign (=) is used between the two expressions to mean ‘is equivalent to.'A symbol that holds a place for a numeral in a number sentence is called a placeholder, or variable.Technically, we can distinguish between "number" and "numeral" as follows.A numeral is the written representation of a number: when you write 0, 1, 2, and so on, technically you are writing numerals.

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