Welcome to the number sense page at Math-Drills.com where we've got your number! This page includes hundreds of math worksheets meant to help students develop their understanding of numeration and number sense.
In the first few sections, there are some general use printables that can be used in a variety of situations. Hundred charts, for example, can be used for counting, but they can just as easily be used for learning decimal hundredths. Further down the page are worksheets for learning place value. Try not to skip this section because for students to truly do well in math and understand all concepts, they will need a strong foundation in understanding of place value. Difficult concepts like long division are much easier when students understand place value. Rounding numbers is related to place value and is an important skill to have especially in estimation.
Comparing and ordering numbers (also related to place value) helps students further understand place value and the order of numbers. Continuing down the page are a number of worksheets on number forms: written, expanded, standard, scientific, and Roman numerals. Near the end of the page are a few worksheets for older students on factors, factoring, exponents and roots.
Hundred charts are useful not only for learning counting but for many other purposes in math. For example, a hundred chart can be used to model fractions and to convert fractions into decimals. Modeling 1/4 on a hundred chart would require coloring every fourth square. After coloring every fourth square, there would be 25 squares colored in which is 25/100 or 0.25. Not magic, just math. Hundred charts can also be used as graph paper for graphing, learning long multiplication and division or any other purpose. A common use for hundred charts in older grades is to use it to find prime and composite numbers using Eratosthenes Sieve.
|Hundred Charts||Regular Left-Handed Blank|
|Odd/Even Hundred Charts||Even Numbers Odd Numbers|
|Multiples Hundred Charts||3 4 5 6 7 8 9 10|
|Partial Hundred Charts (About 25% filled out)||A B C D E F G|
In the U.S., the Common Core requires students in first grade to learn numbers to 120, so we've included similar charts to the 100's charts above, but extended to 120.
|120 Charts||Regular Left-Handed Blank|
|Odd/Even 120 Charts||Even Numbers Odd Numbers|
|Multiples 120 Charts||3 4 5 6 7 8 9 10|
|Partial 120 Charts (About 25% filled out)||A B C D E F G|
Below are backward versions of the 120 charts.
|Backward 120 Charts||Regular Left-Handed Blank|
|Backward Odd/Even 120 Charts||Even Numbers Odd Numbers|
|Backward Multiples 120 Charts||3 4 5 6 7 8 9 10|
|Backward Partial 120 Charts (About 25% filled out)||A B C D E F G|
One of the issues with 100 charts is that they don't include 0! Below is a request from one of our users.
Place Value Charts
Place value charts can be a really useful tool for students who have trouble understanding place value and who tend to forget to put place holder 0's in their numbers or put too many place holder 0's in their numbers (e.g. 132 written as 100302). We've included multiple lines on each place value chart, so things like addition and subtraction can be accomplished on them without mixing up the digits in the addends, etc.
Number Lines and Counting
Blank Number Lines Number Line to 100 by 1's Number Lines to 20 by 1's Number Lines to 40 by 2's Number Line to 200 by 2's Number Lines to 50 by 10's Number Line to 125 by 1's Number Line to 125 by 2's Number Line to 125 by 3's Number Line to 125 by 4's Number Line to 125 by 5's Number Line to 125 by 6's Number Line to 125 by 7's Number Line to 125 by 8's Number Line to 125 by 9's Number Line to 125 by 10's
|Counting Backwards with Numbers to 120||A B C D E F G H I J All|
Place Value Worksheets
Rounding Numbers Worksheets
Not only does rounding further an understanding of numbers, it can also be quite useful in estimating and measuring. There are many every day situations where a precise number isn't needed. For example if you needed to paint your basement floor, you don't really need to find out the area to exact square inch since you don't buy paint that way. You get a good idea of the floor space (e.g. it is roughly 20 feet by 15 feet) then read the label on the can to see how many square feet the can of paint covers (which, by the way is also a rounded number and variable depending on the roller used, the porosity of the floor, etc.) and buy enough cans to cover your floor.
Comparing Numbers Worksheets
Ordering Numbers Worksheets a.k.a. Sorting Numbers
|Ordering Numbers from 0 to 9||A B C D E F G H I J All|
|Ordering Numbers from 1 to 20||A B C D E F G H I J All|
|Ordering Numbers from 10 to 50||A B C D E F G H I J All|
|Ordering Numbers from 10 to 99||A B C D E F G H I J All|
|Ordering Numbers from 100 to 999||A B C D E F G H I J All|
Expanded Form Worksheets
Writing Numbers Worksheets
Reading Written Numbers Worksheets
|Reading Written Two-Digit Numbers||A B C D E F G H I J All|
|Reading Written Three-Digit Numbers||A B C D E F G H I J All|
|Reading Written Four-Digit Numbers||A B C D E F G H I J All|
|Reading Written Five-Digit Numbers||A B C D E F G H I J All|
|Reading Written Six-Digit Numbers||A B C D E F G H I J All|
|Reading Written Seven-Digit Numbers||A B C D E F G H I J All|
|Reading Written Eight-Digit Numbers||A B C D E F G H I J All|
|Reading Written Nine-Digit Numbers||A B C D E F G H I J All|
Standard, Expanded, Written Forms Conversion Worksheets
|Numbers to 1000||A B C D E F G H I J|
|Numbers to 10,000||A B C D E F G H I J|
|Numbers to 100,000||A B C D E F G H I J|
|Numbers to 1,000,000||A B C D E F G H I J|
|Numbers to 10,000,000||A B C D E F G H I J|
Scientific Notation Worksheets
Roman Numerals Worksheets
This is about as "old school" as you can get. Put on your tunica and pick up your scutum to tackle the worksheets on Roman Numerals. Below, you will see options for standard and compact forms. The standard form Roman Numeral math worksheets include numerals in the commonly-taught version where 999 is CMXCIX (i.e. write the numeral one place value at a time). The compact versions are for those who want more of a challenge where the Roman numerals are written in as concise a version as possible. In the compact version, 999 is written as IM (i.e. one less than 1000).
Factors and Factoring Worksheets
What would factoring be without some factoring trees? They are probably the most elegant and convenient way to find the prime factors of a number, but they take a little practice, which is where we come in. The worksheets below are of two types. The first is finding all of the factors of a number. This is great for students who know their multiplication/division facts. If they don't, they might find this a little frustrating, so go back and work on that first. The second type is finding prime factors which we've chosen to do with tree diagrams. Among other things, this is a great way to find prime numbers and to practice divisibility rules.
Roots and Exponents Worksheets
|Squares (up to 322)||A B C D E F G H I J All|
|Squares (up to 992)||A B C D E F G H I J All|
|Square Roots (Perfect Squares)||A B C D E F G H I J All|
|Squares and Square Roots (Easier than above)||A B C D E F G H I J All|
|Cubes||A B C D E F G H I J All|
|Cube Roots||A B C D E F G H I J All|
|Cubes and Cube Roots (Easier than above)||A B C D E F G H I J All|
|Exponents in Factor Form||A B C D E F G H I J|