Study Guide
Unit 1: Numbers to 10,000
Chapter 1:

4digit 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 sixtyfive
 include comma after thousand and hyphen between tens and ones

numbers with zeros
 8 hundreds and 2 ones = 802

8,765 using words

Comparing and ordering 4digit 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

greatest to least

Greater than

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 eightyseven
 there is a comma after thousand
 there is a hyphen between tens and ones

Write words in standard form
 one thousand, three hundred eightyseven = 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 4digit 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.

Write numbers in expanded form
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?

Sum
 What is the smallest fourdigit number? (1,000)
 What is the largest fourdigit number? (9,999)

Various ways to ask

Examples of test questions:

Compare numbers

679 5,312
 Which number is greater or smaller?

679 5,312

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

skip count by hundreds

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?

Compare numbers
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 (95104)
 230 (225234)
 7440 (74357444)

If a number rounded to the nearest ten is 30, what could that number be? Answer: any number between 25 and 34.

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

Rounding numbers to the nearest thousand, hundred, and ten
Unit 1 Cumulative Test: Review all of Unit 1