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