# Module 1: Pre-Number Concepts And Place Value - Practice Questions With Answers

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8.
de of the reck-
MODULE 1: Pre-number Concepts and Place Value- Practice Questions
hole Numbers
ntal lines rep-
he line above.
1. Sketch the base pieces for the unit, long, and flat for each of the bases:
1
ht side of this
a. Base seven
b. Base three
Sketch base pieces for the unit, long, and flat for each of the
Sketch the minimum number of base-ten pieces needed to
ntieth-century
h represent one
bases in exercises 9 and 10.
replace each set in 7 and 8.
nswer 1 and 2.
2. Sketch the minimum number of base-ten pieces needed to replace the set below:
9. a. Base seven
Boolla Boolla
7.
b. Base three
4
10. a. Base five
d be the names
b. Base twelve
Sketch the minimum number of base pieces for the bases
dd numbers in
8.
3. Sketch the minimum number of base pieces for the bases given below to represent the
given in exercises 11 and 12 to represent the following set
of units. Then write the number of units in positional
following set of units. Then write the number of units in positional notation for the given
de of the reck-
y fingers and
notation for the given base.
base.
and and 2.
ntal lines rep-
m?
he line above.
s the name for
ht side of this
a. Base seven
11. a. Base seven
Sketch base pieces for the unit, long, and flat for each of the
b. Base five
translations of
b. Base five
ntieth-century
bases in exercises 9 and 10.
uages in vari-
12. a. Base twelve
ern, and write
4. Determine the total number of units to which the base pieces are equivalent for the given
9. a. Base seven
b. Base three
Boolla Boolla
base.
b. Base three
4
In exercises 13 and 14, determine the total number of
a. Base five: 3 flats, 4 longs, 3 units
10. a. Base five
units to which the base pieces are equivalent for the given
d be the names
b. Base eight: 6 flats, 0 longs, 5 units
b. Base twelve
base.
Sketch the minimum number of base pieces for the bases
13. a. Base five: 3 flats, 4 longs, 3 units
dd numbers in
5. Write each of the numbers below in expanded form:
given in exercises 11 and 12 to represent the following set
b. Base eight: 6 flats, 0 longs, 5 units
a. 256,049
of units. Then write the number of units in positional
14. a. Base twelve: 8 flats, 7 longs, 8 units
b. 4033
y fingers and
notation for the given base.
five
b. Base three: 2 long-flats, 1 flat, 2 longs, 1 unit
and and 2.
m?
6. Determine the value of each underlined digit and its place value.
15. The numeration systems on the next page were used at
s the name for
different times in different geographic locations. Com-
a. 436,089
pare these sets of numerals for the numbers 1 through
b. 111,111
11. a. Base seven
five
10. What similarities can you find? For each system,
translations of
b. Base five
c. 73,783,220
what evidence is there of grouping by 5s?
uages in vari-
12. a. Base twelve
ern, and write
7. Write the names of the following numbers.
b. Base three
a. 4050
In exercises 13 and 14, determine the total number of
b. 567,428,921
units to which the base pieces are equivalent for the given
c. 70,194,733
base.
d. 5,211,433,289
13. a. Base five: 3 flats, 4 longs, 3 units
b. Base eight: 6 flats, 0 longs, 5 units
14. a. Base twelve: 8 flats, 7 longs, 8 units
b. Base three: 2 long-flats, 1 flat, 2 longs, 1 unit
15. The numeration systems on the next page were used at
different times in different geographic locations. Com-
pare these sets of numerals for the numbers 1 through
10. What similarities can you find? For each system,
what evidence is there of grouping by 5s?