MATH STUDY GUIDE

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NUMBER SENSE TEST STUDY GUIDE
Test on: October 8th

Be able to solve consecutive number word problems
If you open a book to two facing pages whose sum is 213, what are the page
numbers?
Answer: pages 106 and 107
If the sum of three consecutive even numbers is 180, what are the three
numbers?
Answer: _______, _______, and _______
If the sum of three consecutive numbers is 96, what are the three
numbers?
Answer: _______ , _______ , and _______

Be able to know the difference between:
Standard Form, Word Form, Short Word Form, Expanded Form, Expanded
Notation, Exponent, Exponential Notation
Write 23,075,804,612
in word form: __________________________________________________
_____________________________________________________________
_____________________________________________________________
in short word form: _____________________________________________
_____________________________________________________________
in expanded form: ______________________________________________
_____________________________________________________________
in expanded notation: ____________________________________________
_____________________________________________________________
in exponential notation: ___________________________________________
_____________________________________________________________

Be able to identify the value, place value, and period for a digit.
Example: 4,302,529,871
What is the VALUE of the 5? ________________
What is the PLACE VALUE of the 3? ____________________
What is the PERIOD of the 8? ______________

Be able to determine ten-to–one relationships
Example: How many 100s are in 1,000,000? _________
What is 1/10 of 8000? ____________
What is 1/10 of 200,000? ______________
What is 10 times 300? _____________

Be able to compute exponents with various bases, including 10.
Ex. 3³ = 3  3  3= ____
10³ = 10  10  10 = _________

Be able to write a base 10 numeral as an exponent.
Ex. 10,000 = _______

Be able to list the:
 Smallest numbers from a set of 6 digits
 Largest numbers from a set of 6 digits
Example: Write the 6 largest numbers and 6 smallest numbers you can make
using the digits: 5, 8, 1, 6, 9, 3
6 largest
_________________________
_________________________
_________________________
_________________________
_________________________
_________________________

6 smallest
_______________________
_______________________
_______________________
_______________________
_______________________
_______________________
Be able to round numbers up through the billions period:
 Applying rounding rules
 Rolling 9s
Ex. Round to the nearest:
million: 954,602,728 ________________
ten thousand: 689,996,017 _____________________

Be able to identify whether a sum or a product is an overestimate or an
underestimate
Estimate the sum: 76 + 159 + 38 ______________
Is this an underestimate or overestimate? Why? _______________________
_____________________________________________________________

Be able to compare and order numbers through the billions period:
Use the symbols <, > , and = to compare. Also be able to name the word that
these symbols, as well as ≠ and ≈ represent.
Ex.
73,902 _____ 79,203
94,328 ______ 9,438

Be able to list numbers up to the hundred billions in order from least to greatest
and greatest to least
Put these numbers in order from least to greatest:
2,879,054
2,798,054
298,540

Be able to locate negative integers on a number line
-7

Be able to order and compare integers (insert < or >)
o -25 ____ -28
o 2 _____ -1

Be able to put these integers in order from largest to smallest
12, -6, -10, 3, 0, -5
2,897,540
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