Math Unit 1

 

Study Guide

Unit 1: Numbers to 10,000

 

Chapter 1:

  • 4-digit numbers
    • 4 thousands 3 tens 2 ones (4,032)
    • 700+5,000+9+20 (5,729)
    • standard form
      • 2,435
    • expanded form
      • 2,435=2,000+400+30+5
  • Place value
    • 8,765 using words
      • eight thousand, seven hundred sixty-five
      • include comma after thousand and hyphen between tens and ones
    • numbers with zeros
      • 8 hundreds and 2 ones = 802
  • Comparing and ordering 4-digit numbers
    • Greater than
      • 98 > 72
    • Lesser than
      • 13 < 50
    • Equal to
      • 21 = 21
    • order numbers 1234, 3124, 2134, 3241
      • greatest to least
        • 3241, 3124, 2134, 1234
      • least to greatest
        • 1234, 2134, 3124, 3241
  • Examples of test questions:
    • Write numbers in expanded form
      • 1,387 = 1000 + 300 + 80 + 7
    • Write numbers in words
      • 1,387 = one thousand, three hundred eighty-seven
      • there is a comma after thousand
      • there is a hyphen between tens and ones
    • Write words in standard form
      • one thousand, three hundred eighty-seven = 1,387
    • Compare numbers with greater than, lesser than, and equal to
      • 4,316 < 6,312 > 5,982
    • Patterns
      • 4,678, 4,688, 4, 698, _____, _____
    • Arrange numbers from smallest to largest and largest to smallest.
      • 4,678      412      1,387     1, 873
    • Answer various questions regarding digits
      • What is the greatest or smallest 4-digit number you can make with 8, 3, 0, 2?
      • What digit is in the thousands place, hundreds place, tens place, or ones place?
      • What is the value of the digit 9?
        • 9,214 = the value is 9,000
    • Write all the 4 digit numbers you can make with 5, 8, 2, 1.  Be able to arrange the numbers in order from greatest to least or least to greatest.
      • 1,258, 1,285, 1,528, 1,582, 1,825, 1,852, 2,158, 2,185, etc.

 

Chapter 2:

  • Number patterns
    • Various ways to ask
      • Sum
        • What is the sum of 5891 and 1000?
      • Add
        • Add 5891 and 200.
      • More
        • What is 10 more than 4575?
      • Difference
        • What is the difference of 100 and 7100?
      • Subtract
        • Subtract 100 from 5428.
      • Less than
        • What is 10 less than 9257?
    • What is the smallest four-digit number? (1,000)
    • What is the largest four-digit number? (9,999)
  • Examples of test questions:
    • Compare numbers
      • 679     5,312
        • Which number is greater or smaller?
    • Patterns
      • skip count by hundreds
        • ______, ______, 4,219
      • Fill in missing numbers on a number line (ones, tens, hundreds, or thousands)
        • ____, 3,122,  ____,  3,322, 3,422
    • Adding and subtracting
      • 20 more than 312
      • 200 less than 8,673
      • ____ is 2,000 more than 7,803
    • Word problems
      • The year is 2005.  Ten years ago, it was 1995.  What was it 100 years ago?
      • Sally had 3,212 marbles in her box.  She put in another 100 marbles.  How many marbles are in her box?
      • Sally had 3,212 marbles in her box.  Frank had 1,000 marbles less than Sally.  How many marbles does Frank have?

 

Chapter 3:

  • Rounding a number to the nearest ten
    • 62 rounds to 60
    • 226 (220)
    • 595 (600)
    • 7438 (7440)
    • Find numbers that can be rounded to a certain number
      • If a number rounded to the nearest ten is 30, what could that number be?  Answer: any number between 25 and 34.
        • 100 (95-104)
        • 230 (225-234)
        • 7440 (7435-7444)
  • Rounding a number to the nearest hundred
    • 262 rounds to 300
    • 135 (100)
    • 6950 (7000)
    • 6780 (6800)
    • If a number rounded to the nearest hundred is 400, what could that number be? Answer: any number between 350 and 449.
  • Rounding a number to the nearest thousand
    • 2400 rounds to 2000
    • 3600 (4000)
    • 694 (1000)
    • 4567 (5000)
    • If a number rounded to the nearest thousand is 2000, what could that number be? Answer: any number between 1500 and 2499.
  • When rounding, always look at the digit one place behind the problem.  If the digit is 4 and below, there is no change to the digit in front and simply write a “0” in the places behind it.  If the digit is 5 and above, round to the next digit and write “0” behind it.
  • Examples of test questions:
    • Rounding numbers to the nearest thousand, hundred, and ten
      • 4,312 rounded to the nearest ten = 4,310
      • Round 4,312 to the nearest thousand = 4,000
      • 4,312 rounded to the nearest _____ is 4,300.  (hundred)
      • Write a number that can be rounded to 4,300. (an example answer would be 4,312)
      • What is the greatest or smallest possible number if:
        • A number rounded to the nearest ten is 420 (an example answer would be 416)
        • A number rounded to the nearest hundred is 4,500 (an example answer would be 4,513)
    • Number line
      • Be able to fill in blanks on a number line for ones, tens, hundreds, and thousands

 

Unit 1 Cumulative Test: Review all of Unit 1