Decimals Worksheets
Decimal Place Values
The decimal point separates the whole numbers from the fractional part of a
number.
.
1328 1095
In a whole number the decimal point is all the way to the right, even if it is
not shown in a problem.
25 = 25.
The place values of the number 1328.1095 are shown below:
ones tenths
tens
hundredths
hundreds
thousandths
thousands 1328.1095 ten-thousandths
In word problems you will be asked to translate numbers from English. The
word “and” is where the decimal point will go.
Write the following numbers:
Fifty-eight = 58
One-hundred twenty-five thousandths = .125
One hundred and twenty-five thousandths = 100.025
Eleven and three hundredths = 11.03
Six thousand forty and nine tenths = 6,040.9
,In the number 2039.876, what digit is in the tenths place? 8
In the number 2039.876, what digit is in the ones place? 9
In the number 2039.876, what digit is in the tens place? 3
In the number 2039.876, what digit is in the thousandths place? 6
Exercise 1 (answer key starts on page 19)
1) In the number 78.9, what digit (number) is in the tenths place?
2) In the number 78.9, what digit (number) is in the ones place?
3) In the number 78.9, what digit (number) is in the tens place?
4) In the number 6174.903, what digit is in the thousands place?
5) In the number 6174.903, what digit is in the thousandths place?
6) In the number 6174.903, what digit is in the hundredths place?
7) In the number 6174.903, what digit is in the tenths place?
8) In the number 6174.903, what digit is in the ones place?
9) In the number 6174.903, what digit is in the tens place?
10) In the number 6174.903, what digit is in the hundreds place?
Exercise 2
Directions: translate the following numbers from English into decimal numbers
1. Twenty-nine
2. Eighty-one hundredths
3. Nine thousand thirty-four and seven tenths
4. One and four thousandths
5. One hundred and sixty-two thousandths
6. Forty-five hundredths
7. Four thousand three hundred twenty-one ten-thousandths
8. One hundred twenty and five tenths
9. Seventeen thousandths
10. One and seven tenths
, Rounding Decimal Numbers
When rounding decimal numbers, first look at the number place you are
asked to round to. Then look at the digit (number) just to its right. If
that digit is smaller than 5 (0, 1, 2, 3, or 4), then do not round up. If the
digit is 5 or larger (5, 6, 7, 8, 9), then round up.
Round 5.6932 to the nearest thousandth
The place to round to
5.6932
The digit 2 is small.
5.693 is the answer Do not round up.
Round 28.05267 to the nearest thousandth
Drop everything to the right
The place to round to
28.05267
The digit 6 is large.
28.053 is the answer Round up.
Round .09999 to the nearest tenth
The place to round to The digit 9 is
.09999 large. Round up.
.1 is the answer Drop everything to the right
Round .04999 to the nearest tenth
The place to round to The digit 4 is small. Do not round up.
.04999
Drop everything to the right
.0 is the answer
Round 199.99 to the nearest whole (ones) number
The place to round to The digit 9 is
199.99 large. Round up.
200 is the answer Drop everything to the right
Decimal Place Values
The decimal point separates the whole numbers from the fractional part of a
number.
.
1328 1095
In a whole number the decimal point is all the way to the right, even if it is
not shown in a problem.
25 = 25.
The place values of the number 1328.1095 are shown below:
ones tenths
tens
hundredths
hundreds
thousandths
thousands 1328.1095 ten-thousandths
In word problems you will be asked to translate numbers from English. The
word “and” is where the decimal point will go.
Write the following numbers:
Fifty-eight = 58
One-hundred twenty-five thousandths = .125
One hundred and twenty-five thousandths = 100.025
Eleven and three hundredths = 11.03
Six thousand forty and nine tenths = 6,040.9
,In the number 2039.876, what digit is in the tenths place? 8
In the number 2039.876, what digit is in the ones place? 9
In the number 2039.876, what digit is in the tens place? 3
In the number 2039.876, what digit is in the thousandths place? 6
Exercise 1 (answer key starts on page 19)
1) In the number 78.9, what digit (number) is in the tenths place?
2) In the number 78.9, what digit (number) is in the ones place?
3) In the number 78.9, what digit (number) is in the tens place?
4) In the number 6174.903, what digit is in the thousands place?
5) In the number 6174.903, what digit is in the thousandths place?
6) In the number 6174.903, what digit is in the hundredths place?
7) In the number 6174.903, what digit is in the tenths place?
8) In the number 6174.903, what digit is in the ones place?
9) In the number 6174.903, what digit is in the tens place?
10) In the number 6174.903, what digit is in the hundreds place?
Exercise 2
Directions: translate the following numbers from English into decimal numbers
1. Twenty-nine
2. Eighty-one hundredths
3. Nine thousand thirty-four and seven tenths
4. One and four thousandths
5. One hundred and sixty-two thousandths
6. Forty-five hundredths
7. Four thousand three hundred twenty-one ten-thousandths
8. One hundred twenty and five tenths
9. Seventeen thousandths
10. One and seven tenths
, Rounding Decimal Numbers
When rounding decimal numbers, first look at the number place you are
asked to round to. Then look at the digit (number) just to its right. If
that digit is smaller than 5 (0, 1, 2, 3, or 4), then do not round up. If the
digit is 5 or larger (5, 6, 7, 8, 9), then round up.
Round 5.6932 to the nearest thousandth
The place to round to
5.6932
The digit 2 is small.
5.693 is the answer Do not round up.
Round 28.05267 to the nearest thousandth
Drop everything to the right
The place to round to
28.05267
The digit 6 is large.
28.053 is the answer Round up.
Round .09999 to the nearest tenth
The place to round to The digit 9 is
.09999 large. Round up.
.1 is the answer Drop everything to the right
Round .04999 to the nearest tenth
The place to round to The digit 4 is small. Do not round up.
.04999
Drop everything to the right
.0 is the answer
Round 199.99 to the nearest whole (ones) number
The place to round to The digit 9 is
199.99 large. Round up.
200 is the answer Drop everything to the right
