European Format Decimals Worksheets

Thanks for visiting the European number format version of the decimals and percents worksheets page at Math-Drills.Com where you will find A4 paper, commas for decimals and points for thousands separators. Decimals worksheets with European number formats including comparing and sorting decimals, and adding, subtracting, multiplying and dividing decimals. To start, you will find the general use printables below to be helpful in teaching the concepts of decimals and place value. More information on them is included just under the sub-title. If you would prefer English format decimals (i.e. periods used as decimals), please visit the Decimals worksheets page.

Further down the page, rounding, comparing and ordering decimals worksheets allow students to gain more comfort with decimals before they move on to performing operations with decimals. There are many operations with decimals worksheets throughout the page. It would be a really good idea for students to have a strong knowledge of addition, subtraction, multiplication and division before attempting these questions. At the end of the page, you will find decimal numbers used in order of operations questions.

Most Popular European Format Decimals Worksheets this Week

RoundingThousandths to Hundredths (**13 views this week**)

Rounding Hundredths to Tenths (**3 views this week**)

Multiplying Two-Digit Tenths by Two-Digit Whole Numbers (**3 views this week**)

Writing Expanded Numbers in Standard Form (4 digits before decimal; 3 after) (**2 views this week**)

Writing Expanded Numbers in Standard Form (3 digits before decimal; 2 after) (**2 views this week**)

Expanded Form with Decimals

For students who have difficulty with expanded form, try familiarizing them with the decimal place value chart first, and let them use it to help them write numbers in expanded form. There are many ways to write numbers in expanded form. 1,23 could be written as 1 + 0,2 + 0,03 OR 1 + 2/10 + 3/100 OR 1 × 10⁰ + 2 × 10^-1 + 3 × 10^-2 OR any of the previous two written with parentheses/brackets OR 1 + 2 × 1/10 + 3 × 1/100 with or without parentheses, etc. Despite what the answer key shows, please teach any or all of the ways depending on your students' learning needs.

Writing standard form decimal numbers in expanded form

Standard to Expanded Form (3 digits before decimal; 2 after) Standard to Expanded Form (4 digits before decimal; 3 after) Standard to Expanded Form (6 digits before decimal; 4 after)

Writing expanded form decimal numbers in standard form

Expanded to Standard Form (3 digits before decimal; 2 after) Expanded to Standard Form (4 digits before decimal; 3 after) Expanded to Standard Form (6 digits before decimal; 4 after)

Rounding Decimals Worksheets

Rounding decimals is similar to rounding whole numbers; you have to know your place value! When learning about rounding, it is also useful to learn about truncating since it may help students to round properly. A simple strategy for rounding involves truncating, using the digits after the truncation to determine whether the new terminating digit remains the same or gets incremented, then taking action by incrementing if necessary and throwing away the rest. Here is a simple example: Round 4,567 to the nearest tenth. First, truncate the number after the tenths place 4,5|67. Next, look at the truncated part (67). Is it more than half way to 99 (i.e. 50 or more)? It is, so the decision will be to increment. Lastly, increment the tenths value by 1 to get 4,6. Of course, the situation gets a little more complicated if the terminating digit is a 9. In that case, some regrouping might be necessary. For example: Round 6,959 to the nearest tenth. Truncate: 6,9|59. Decide to increment since 59 is more than half way to 99. Incrementing results in the necessity to regroup the tenths into an extra one whole, so the result is 7,0. Watch that students do not write 6,10. You will want to correct them right away in that case. One last note: if there are three truncated digits then the question becomes is the number more than half way to 999. Likewise, for one digit; is the number more than half way to 9. And so on...

We should also mention that in some scientific and mathematical "circles," rounding is slightly different "on a 5". For example, most people would round up on a 5 such as: 6,5 --> 7; 3,555 --> 3,56; 0,60500 --> 0,61; etc. A different way to round on a 5, however, is to round to the nearest even number, so 5,5 would be rounded up to 6, but 8,5 would be rounded down to 8. The main reason for this is to not skew the results of a large number of rounding events. If you always round up on a 5, on average, you will have slightly higher results than you should. Because most before college students round up on a 5, that is what we have done in the worksheets that follow.

Comparing & Ordering/Sorting Decimals Worksheets

The comparing and ordering decimals worksheets can be used to help students recognize ordinality in decimal numbers. The comparing decimals worksheets have students compare pairs of numbers and the ordering decimals worksheets have students compare a list of numbers by sorting them.

Comparing decimals worksheets. Tight means that the numbers are close to one another rather than random

Comparing Decimals up to Tenths Comparing Decimals up to Tenths (tight) Comparing Decimals up to Hundredths Comparing Decimals up to Hundredths (tight) Comparing Decimals up to Thousandths Comparing Decimals up to Thousandths (tight)

Ordering or sorting decimal numbers

Ordering Decimal Tenths (8 per set) Ordering Decimal Hundredths (8 per set) Ordering Decimal Thousandths (8 per set) Ordering Decimal Ten Thousandths (8 per set) Ordering Decimals with Various Decimal Places(8 per set)

Adding & Subtracting Decimals Worksheets

Try the following mental addition strategy for decimals. Begin by ignoring the decimals in the addition question. Add the numbers as if they were whole numbers. For example, 3,25 + 4,98 could be viewed as 325 + 498 = 823. Use an estimate to decide where to place the decimal. In the example, 3,25 + 4,98 is approximately 3 + 5 = 8, so the decimal in the sum must go between the 8 and the 2 (i.e. 8,23)

Adding tenths

Adding decimal tenths with 0 before the decimal (range 0,1 to 0,9) Adding decimal tenths with 1 digit before the decimal (range 1,1 to 9,9)

Adding hundredths

Adding decimal hundredths with 0 before the decimal (range 0,01 to 0,99) Adding decimal hundredths with 1 digit before the decimal (range 1,01 to 9,99)

Adding thousandths

Adding decimal thousandths with 0 before the decimal (range 0,001 to 0,999) Adding decimal thousandths with 1 digit before the decimal (range 1,001 to 9,999)

Adding ten thousandths

Adding decimal ten thousandths with 0 before the decimal (range 0,0001 to 0,9999) Adding decimal ten thousandths with 1 digit before the decimal (range 1,0001 to 9,9999)

Adding mixed decimals

Adding mixed decimals with Various Decimal Places Adding mixed decimals with Various Decimal Places (1 to 9 before decimal)

Have you thought about using base ten blocks for decimal subtraction? Just redefine the blocks, so the big block is a one, the flat is a tenth, the rod is a hundredth and the little cube is a thousandth. Model and subtract decimals using base ten blocks, so students can "see" how decimals really work.

Subtracting decimals worksheets

Decimal subtraction (range 0,1 to 0,9) Decimal subtraction (range 1,1 to 9,9) Decimal subtraction (range 0,01 to 0,99) Decimal subtraction (range 1,01 to 9,99) Decimal subtraction (range 0,001 to 0,999) Decimal subtraction (range 1,001 to 9,999) Decimal subtraction (range 0,0001 to 0,9999) Decimal subtraction (range 1,0001 to 9,9999) Decimal subtraction with Various Decimal Places Decimal subtraction with Various Decimal Places (1 to 9 before decimal)

Multiplying & Dividing Decimals Worksheets

Multiplying decimal numbers by 2-digit whole numbers

2-digit whole × 2-digit hundredths 2-digit tenths × 2-digit whole 2-digit hundredths × 2-digit whole 3-digit tenths × 2-digit whole 3-digit hundredths × 2-digit whole 3-digit thousandths × 2-digit whole

Multiplying decimal numbers by 2-digit tenths

2-digit whole × 2-digit tenths 2-digit tenths × 2-digit tenths 2-digit hundredths × 2-digit tenths 3-digit whole × 2-digit tenths 3-digit tenths × 2-digit tenths 3-digit hundredths × 2-digit tenths 3-digit thousandths × 2-digit tenths

Multiplying decimal numbers by 2-digit hundredths

2-digit tenths × 2-digit hundredths 2-digit hundredths × 2-digit hundredths 3-digit whole × 2-digit hundredths 3-digit tenths × 2-digit hundredths 3-digit hundredths × 2-digit hundredths 3-digit thousandths × 2-digit hundredths

Multiplying decimal numbers by a variety of decimal places

2-digit × 2-digit with various decimal places 3-digit × 2-digit with various decimal places

Dividing decimals with quotients that work out nicely without a repeating decimal

Divide Tenths by a Whole Number Divide Hundredths by a Whole Number Divide Thousandths by a Whole Number Divide Ten Thousandths by a Whole Number Divide Various Decimals by a Whole Number

In the next set of questions, the quotient does not always work out well and may have repeating decimals. The answer key shows a rounded quotient in these cases.

Dividing decimals by whole numbers with quotients that may need rounding