# Number Sense Worksheets

Welcome to the number sense page at Math-Drills.com where we've got your number! This page includes Number Worksheets such as counting charts, representing, comparing and ordering numbers worksheets, and worksheets on expanded form, written numbers, scientific numbers, Roman numerals, factors, exponents, and binary numbers. There are literally hundreds of number 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. Rounding worksheets help students learn this important skill that is especially useful in estimation.

Comparing and ordering numbers worksheets help students further understand place value and the ordinality 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 and binary numbers.

## Learning Numbers

Worksheets for learning numbers including poster sized number sets and writing numerals worksheets.

Poster sized number sets.

In the writing numerals to 20 worksheets, you will find that the A version includes all numbers, B to E versions have about half the numbers included, F to I versions have about a third of the numbers included and the J version includes no numbers... just the lines to write them on. All versions include dashes under the numbers, so students have a reference for where to place the numbers. You can access the other versions (B to J) once you select the A version you want below.

Writing Numerals.

## Counting Charts

Charts for students who are learning to count and write down numbers in the correct order.

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.

100 Charts (4 to a page).

One of the issues with 100 charts is that they don't include zero, but 99 charts do!

## Counting

Counting worksheets including counting pictures in patterns and counting by various amounts forwards and backwards.

Counting Backwards with Numbers to 120 starting at random numbers.

## Rounding Numbers Worksheets

Rounding numbers to various places worksheets with various sizes of numbers.

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.

Rounding numbers worksheets that use a comma as a thousands separator.
Rounding numbers worksheets that use a half-space as a thousands separator.
Rounding numbers worksheets that use a point as a thousands separator.

## Comparing & Ordering Numbers Worksheets

Comparing numbers worksheets to help students learn about magnitude and quantity.

There are many situations where it is important to know the relative size of one number to another, for example, when it comes to money. Several different number formats are included on the comparing and ordering numbers worksheets for those in the U.S., Canada, and European countries who all use different thousands separators. (Tight) means the numbers to be compared are close to one another.

Comparing numbers worksheets that use a comma as a thousands separator.
Comparing numbers worksheets that use a half-space as a thousands separator.
Comparing numbers worksheets that use a point as a thousands separator.

## Expanded Form Worksheets

Expanded form worksheets for learning about place value and number concepts.

General expanded form worksheets.
Writing expanded form worksheets that use a comma as a thousands separator.
Writing expanded form worksheets that use a half-space as a thousands separator.
Writing expanded form worksheets that use a point as a thousands separator.

## Written Numbers Worksheets

Writing and reading numbers worksheets for students to learn how to write numbers in words and vice-versa.

The main idea of learning to write numbers in words is to be able to say numbers correctly. In the past it might also have been useful for writing checks/cheques, but there isn't a lot of that going on any more.

General writing numbers in words worksheets.
Writing numbers in words worksheets that use a comma as a thousands separator.
Writing numbers in words worksheets that use a half-space as a thousands separator.

Now, let's see if students can write the numbers that are written! The reading numbers written as words worksheets do not have format options as the student question sheets are all written in words. The answer keys are formatted with a comma thousands separator when necessary.

The standard, expanded and written forms conversion worksheets sum up the previous sections by including all three number forms on the same page.

Converting between standard, expanded and written forms.

## Scientific Notation Worksheets

Scientific notation worksheets for learning how to write and interpret numbers in this format.

Converting Ordinary Numbers to Scientific Numbers.
Converting Scientific Numbers to Ordinary Numbers.
Converting Between Ordinary Numbers and Scientific Numbers.

## Roman Numerals Worksheets

Roman numerals worksheets for converting between standard and Roman numerals.

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

Factors and factoring worksheets including listing factors of numbers and finding prime factors of numbers using a tree diagram.

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.

Greatest Common Factors.

## Roots and Exponents Worksheets

Roots and exponents worksheets including squares and cubes and writing exponents in factor form.

Squares and square roots.
Cubes and cube roots.
More exponents.