1 From Counting to Addition
We’ve all seen or heard people count. You put a number of things in a group, move them to another group one at a time, and count as you go. “One, two, three …” We learn to save time when counting by making up groups. Figure 1-1 shows four different ways in which seven items, in this case coins, can be grouped.
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Figure 1-1
These are some of the ways seven things can be arranged.
NUMBERS AND NUMERALS
You’ll often hear the terms “number” and “numeral” used interchangeably, as if they mean the same thing. But there’s a big difference (although subtle to the nonmathematician). A number is a quantity or a concept; ...

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