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
-
8,765 using words
-
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
-
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 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.
-
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 four-digit number? (1,000)
- What is the largest four-digit 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 (95-104)
- 230 (225-234)
- 7440 (7435-7444)
-
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