 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
• Sum
• What is the sum of 5891 and 1000?
• 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
• 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