(Solved): 1. There are two important and distinct ways to think about the counting numbers. a. Write those tw ...

1. There are two important and distinct ways to think about the counting numbers. a. Write those two ways and briefly explain what each way means. b. Describe the essential properties of accurate counting. How does accurate counting connect the two ways of thinking about the counting numbers? 2. Draw a picture of loose and bundled toothpicks to represent the number eighteen a. in a way that fits with the structure of the base-ten place value system. Comment on how we write eighteen with numerals corresponds to the model you have drawn. b. in a way that fits with the structure of the base-four place value system. Comment on how we write eighteen with numerals corresponds to the model you have drawn. 3. Suppose you have a pile of base-ten blocks. There are 15 flats, 19 longs, and 11 units. Reorganize them to show the structure of the base ten number system. How many of each kind of block will you have? blocks flats longs unit cubes 4. Give the place value of the " 3 " in each number: a. 136,546 b. $6,546,\underline{3}92$ c. $0.\underline{3}54$ d. $15.67\underline{\underline{3}}6$ 5. Name the number modeled by this collection of base-ten blocks if... a. a small cube represents 1 . b. a block represents 1 . c. a flat represents 1 . a. How many thousands are in 532,000 ? b. How many tens are in 532,000 ? c. How many tenths are in 532,000 ? 7. Even if the distance between two cities is given as 2,100 miles, it has most likely been rounded. What could the distance between the cities possibly be if a. the distance has been rounded to the nearest hundred miles? b. the distance has been rounded to the nearest ten miles? 8. Compare each pair of integer values below if $0,A,?B$, and $?C$ are at these locations on the number line. Write $<,>$, or $=$. If you don't have enough information to know for sure, state "not enough information."