1. Suppose you want to show how the structure of
the base-ten system remains the same to the left
and right of the decimal point. You have bundles
of toothpicks
and you want to use these bundled toothpicks to
represent a decimal. List at least three decimals
that you could use these bundles to represent and
explain your answer in each case.

step 1: 0.001×10=0.01

step 2 : 3 sets of 0.1, 4 sets of 0.01 and 6 sets of 0.001

step 3: 3×0.1 +4×0.01 +6×0.01=0.346

Step-by-step explanation:

step 1

consider that a single toothpick represent 0.001

so a bundle of 10 toothpick will represent

0.001 ×10=0.01

also a 10 set of bundle toothpick represent

0.01 ×10=0.1

step 2

now here 3 sets of 0.1, 4 sets of 0.01 and six sets of 0.001

3×0.1+4×0.01+6×0.001

step 3

hence the number representation is

3 ×0.1 +4×0.01 +6×0.001=

0.346

    toothpick represent         the number represented in decimal

  1.0.001                                 3.46

  2.0.1                                      34.6

5

10

15

20

25

30

35

40

45

50

55