ones tenths hundredths chart

Helping with Math is one of the largest providers of math worksheets and generators on the internet. We provide high-quality math worksheets for more than 10. Show the different parts of a decimal number with 3 decimal places using the decimal place value chart (tens, ones, tenths, hundredths, and thousandths). Tens, Ones, Tenths, Hundredths, Thousandths. Ten. Thousandths Take the last example and write it in the place value chart.

: Ones tenths hundredths chart

Ones tenths hundredths chart
Ones tenths hundredths chart
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Citizens bank union square somerville

Place Value for Decimals

Just as "ones," "tens," and "hundreds" are used to describe place value for whole numbers, there are terms that describe place value for decimals: tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths, etc. These terms are used from left to right, starting with the first numeral after the decimal point. For example, the number 0.1234 has a "1" in the tenths place, a "2" in the hundredths place, a "3" in the thousandths place, and a "4" in the ten thousandths place. The number 78.304 has a "7" in the tens place, an "8" in the ones place, a "3" in the tenths place, a "0" in the hundredths place, and a "4" in the thousandths place.

Because our system is base ten, a value of 10 in one place is equal to a value of 1 in the place to the left: 10 thousandths is equivalent to 1 hundredth, 10 hundredths is equivalent to 1 tenth, 10 tenths is equivalent to 1 one, and so on.

Example 1. What are the place values for 67.0534?

67.0534 has a 6 in the tens place, a 7 in the ones place, a in the tenths place, a 5 in the hundredths place, carrera bbva bancomer 2018 cdmx 3 in the thousandths place, and a 4 in the ten thousandths place.

A Fact about Decimals

A decimal does not change when zeros are added at the end. For example, 3.45 is equal to 3.450 is equal to 3.4500, and so on.

Comparing Decimals

It is sometimes tricky to determine which decimal is the larger of two decimals. Upon first glance, it appears that 0.304 is larger than 0.62, because 304 is larger than 62. However, this is not the case. In order to determine which decimal is larger, we must compare the two credit unions with highest savings interest rates, starting from the tenths place, until the decimals differ. 0.304 has a "3" in the tenths place, and 0.62 has a "6" in the tenths place. Since 6 is greater than 3, 0.62 is greater than 0.304--it is not necessary to look to further decimal places.

Example 2. Compare 0.4531 and 0.4507. Which is greater?

0.4531 and 0.4507 both have a "4" in the tenths place.
0.4531 and 0.4507 both have a "5" in the hundredths place.
0.4531 has a can you send money via paypal with credit card in the thousandths place and 0.4507 has a "0" in the thousandths place.
3 is greater than 0, so 0.4531 is greater than 0.4507.

Previous sectionIntroduction and SummaryNext pagePlace Value and Comparing Decimals page 2

Источник: https://www.sparknotes.com/math/prealgebra/decimals/section1/

Solutions: Decimals, Part I

Introduction to Decimals

solns_intro1.gifis shown in the place-value chart below.


solns_intro2.gif

231_thousandthsgif.gifis shown in ones tenths hundredths chart place-value chart below.


solns_intro3.gif

Seven hundred sixty-two and three tenths is shown in the place-value chart below.


solns_intro4.gif

Expanded form is a way to write numbers by showing the value of each digit. The correct expanded form of 0.546 is choice 1. See the place-value chart below.


solns_intro5.gif

The decimals in the first three choices are equivalent decimals. So they are all equal to twenty-five and sixty-nine thousandths. These decimals are shown in the place-value chart below.


Reading and Writing Decimals

solns_read_write1.gif

See the place-value chart below.


solns_read_write2.gif

1_and_19over20_to_1_and_95over100.gif

See the place-value chart below.


solns_read_write3.gif

Seven hundred five thousand and eighty-nine ten-thousandths is shown in the place-value chart below.


solns_read_write4.gif


solns_read_write5.gif

Five hundred-thousandths is shown in the place-value-chart below.


Comparing Decimals

solns_compare1.gif

Writing one decimal below the other, we get:

2.170

2.017


solns_compare2.gif

Writing one decimal below the other, we get:

0.41

0.49


solns_compare3.gif

Writing one decimal below the other, we get:

5.1980

5.0198


solns_compare4.gif

Writing one decimal below the other, we get:

1.50

1.50


solns_compare5.gif

Writing one decimal below the other, we get:

1.92561

1.92651


Ordering Decimals

solns_order1.gif

Writing one decimal beneath the other in their original order, we get:

0.4981

0.5200

0.4891

0.6000
Ordering these decimal from least to greatest, we get:

0.4891

0.4981

0.5200

0.6000
The smallest decimal number is 0.4891.


solns_order2.gif

Writing one decimal beneath the other in their original order, we get:

0.0231

0.2310

0.0300

0.2000
Ordering these decimal from least to greatest, we get:

0.0231

0.0300

0.2000

0.2310
The largest decimal number is 0.231.


solns_order3.gif

Writing one decimal beneath the other in their original order, we get:

0.910

0.091

0.900
Ordering these decimal from least to greatest, we get:

0.091

0.900

0.910
Thus, choice 3 is correct.


solns_order4.gif

Writing one decimal beneath the other in their original order, we get:

3.4500

3.0459

3.5000

3.4059
Ordering these decimal from least to greatest, we get:

3.0459

3.4059

3.4500

3.5000
Thus, choice 1 is correct.


solns_order5.gif

Writing one decimal beneath the other in their ones tenths hundredths chart order, we get:

7.102000

7.010200

7.012000

7.001020

7.102021
Ordering these decimal from least to greatest, we get:

7.001020

7.010200
7.012000
7.102000
7.102021
Thus, choice 2 is correct.


Estimating Decimal Sums

solns_estimate_sums1.gif

Rounding to the nearest tenth, we get:

0.79arrow_right.gif0.8

0.13arrow_right.gif0.1

0.8 + 0.1 = 0.9


solns_estimate_sums2.gif

Rounding to the nearest hundredth, we get:

3.197arrow_right.gif3.20

4.214arrow_right.gif4.21

3.20 + 4.21 = 7.41


solns_estimate_sums3.gif

1 + 2 = 3

0.7 + 0.2 is almost equal to 1.0

3 + 1 = 4

4 = 4. = 4.0


solns_estimate_sums4.gif

An overestimate is an an estimate that is too high: it exceeds the actual answer. The only estimate that is more than 56.9531 is 57. Thus choice 4 is correct.


solns_estimate_sums5.gif

An underestimate is an estimate that is too low: it is lower than the actual answer. The only estimate that is less than 31.5487 is 31.5. Thus choice 1 is correct.


Adding Decimals

solns_add1.gif

+  46.9070

+    2.0184
+  48.9254


solns_add2.gif

+  504.600

+    13.700
+      0.029
+  518.329


solns_add3.gif

+$234.50

+ $187.95
+$422.45


solns_add4.gif

+   15.4190

+     0.3000
+  297.0651
+ 312.7841


solns_add5.gif

There were two sweaters.

+  $19.99

+  $19.99

+  $27.00
+ $66.98


Estimating Decimal Differences

solns_estimate_differcens1.gif

Rounding to the nearest one, we get:

$9.67arrow_right.gif$10

$6.19arrow_right.gif$06

-   $10

-   $  6
-   $  4


solns_estimate_differcens2.gif

Rounding to the nearest hundredth, we get:

2.995arrow_right.gif3.00

1.997arrow_right.gif2.00

-  3.00

-  2.00
-  1.00


solns_estimate_differcens3.gif

Rounding to the nearest ten, we get:
63.7943arrow_right.gif60

24.2581arrow_right.gif20

- 60

-  20
- 40


solns_estimate_differcens4.gif

An overestimate is an an estimate that is too high: it exceeds the actual answer. The only estimate that is more than 47.8943 is 48. Thus, choice 4 is correct.


solns_estimate_differcens5.gif

Whether you round $15.98 to the nearest tenth, one or ten, you always get $16.00.

$50.00arrow_right.gif$50.00

$15.98arrow_right.gif$16.00

-  $50.00

-   $16.00
-  $34.00

Thus, choice 2 is correct.


Subtracting Decimals

solns_subtract1.gif

   27.098

-    6.500
+20.598


solns_subtract2.gif

   $329.00

-  $  76.89
+$252.11


solns_subtract3.gif

-  84.300

-    0.863
-  83.437


solns_subtract4.gif

- 45.059

Источник: https://www.mathgoodies.com/lessons/decimals/solutions

Decimal Worksheets

Tenths & Hundredths Mixed

Compare and Order Decimals

This section of our website has a set of worksheets for teaching students to order and compare decimal numbers.

Decimal Addition & Subtraction

Add and subtract decimal numbers with these printable worksheets.

Multiplying Decimals

Learn to multiply pairs of numbers with decimal factors.

Dividing Decimals

Practice long division math problems with decimals in the dividend and/or divisor.

Fraction Worksheets

This page has basic fractions, fractions of a set, comparing and ordering fractions, and more.

Full Math Worksheet Index

View an index of all math worksheets available on Super Teacher Worksheets.

Sample Pictures of
Decimal Activities

Decimal Worksheets

Decimal Worksheet - Number Line

Decimal Activities

Источник: https://www.superteacherworksheets.com/decimals.html

Note: this page contains legacy resources that are no longer supported. You are free to continue using these materials but we can only support our current worksheets, available as part of our membership offering.

Related Resources

The Place value Chart above is aligned, either partially or wholly, with the standard 4NF06 from the Common Core Standards For Mathematics (see the shortened extract below). The resources below are similarly aligned.

Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

Chart

Place Value Charts

Example/Guidance

Number line

Worksheet

Similar to the above listing, the resources below are aligned to related standards in the Common Core For Mathematics that together support the following learning outcome:

Understand decimal notation for fractions, and compare decimal fractions

Источник: https://helpingwithmath.com/generators/4nf6place-value02/

Tenths And Hundredths Place Value Chart

Actual: tenths and hundredths place value chart - online free Mobile guidebook

Place Value Chart: Tenths, Hundredths, Thousandths.

Representing tenths and hundredths as fractions and decimals.

Decimals and Fractions - Hundredths.

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Representing Decimals - Tenths and Hundredths Activities. Tenths, Hundredths, and Thousandths.

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Using Money to Understand Decimal Place Value

The students have already learned place value for whole numbers.  In today's ones tenths hundredths chart, they will learn to use money to help understand decimal place value.  

I tell the students, "You know how to identify place value for whole numbers.  Today, you will use money to identify place value for parts of a whole. What exactly is $8.23?  Let's find out."

I bring the class to the carpet for a whole class discussion on using money to understand decimals.  The Using Money to understand decimals.pptx powerpoint is on the Smart board.  

Discussion:

I begin the lesson by reviewing the vocabulary:

Tenths – One of ten equal parts of a whole.

Hundredths – One part of 100 equal parts of a whole.

Decimal Point – A dot used to separate a dollar from cents or ones from tenths in a number.

 I let the students know that we can use money to help us understand decimals.  A dime can help you understand the tenths place.  It takes 10 dimes to make a dollar.

A penny can help you understand the hundredths place.  It takes 100 pennies to make a dollar.

To practice using money to help with decimals, we practice by using the following information in the table:

 

Dollars

(ones)

 

 

.

 

Dimes

(Tenths)

 

Pennies

(Hundredths)

 

 8

 

.

 

 2

 3

 

 

 

 

 

 

 

 

 

 

 

There is a 3 in the hundredths place.  The hundredths place is like having pennies.  If you have 3 pennies, how much money do you have? I call on a student for a response.  There is a ones tenths hundredths chart in the tenths place.  The tenths place is like having dimes.  If you have 2 dimes, how much money do you have? 

Which place is greater, the tenths or the hundredths?  Explain.

I find that it is very important to question students in the whole class discussion.  This allows me to check for understanding as I teach.

After determining how to use money to help understand place value, I show the students how to write numbers.  

I let the students know that we can write this number in 3 other ways:

1.    8 ones, 2 tenths, and 3 hundredths

2.    8 dollars, 2 dimes, and 3 pennies

3.    8 dollars and twenty-three cents

 

To give students more practice, I tell them that we will  practice together.  Help me write this number in three other ways.

Dollars

(ones)

 

 

.

 

Dimes

(Tenths)

 

Pennies

(Hundredths)

 

 7

 

.

 

6

 2

 

 

 

 

 

 

 

 

 

 

 

 

After the whole class first arkansas bank and trust heber springs ar, the students go back to their seats for instruction about the group activity.

Источник: https://betterlesson.com/lesson/496398/using-money-to-understand-decimal-place-value
ones tenths hundredths chart

Ones tenths hundredths chart -

Decimal Place Value — Two Decimal Digits

This is a complete lesson with instruction and varied exercises, explaining decimal place value and expanded form using numbers that have two decimal digits (tenths and hundredths). Students write numbers in expanded form / normal form, and convert decimals to fractions and vice versa. The lesson is meant for 4th or 5th grade.


1. Break each number into ones, tenths and hundredths (this means you write it in expanded form).
    Use both fractions and decimals. Then read the number.

a.   0.78 = 0.7+ 0.08
78

100
=

7

10

+

8

100

(seventy-eight hundredths)
 

b. 0.33 = ______ + ______

 

c. 0.19 = ______ + ______
d.   1.25 = 1 + 0.2+ 0.05

 

 

 

e. 3.97 = ___ + ____ + _____

 

f. 4.65 = ___ + ____ + _____

 



2. Write as a decimal or as a fraction.

DecimalFraction
a.

56

10

b.
2

35

100

c.0.47
DecimalFraction
d.0.06
e.5.06
f.7.99
DecimalFraction
g.

3

100

h.
12

20

100

i.
8

4

10

3. Name the place value that has been underlined in the number.

a. 209.87   _____________________________b. 503.49   _____________________________
      
c. 2,938.5    ____________________________d.2,093.40   ____________________________
      
e. 2,093.40   ____________________________f. 2,093.40   ____________________________
      

4. These numbers are written in expanded form. Write them as decimals.

g. 7,000 + 400 + 50 + 8 + 37

100
h.6,000 + 40 + 4 +6

100

5. Break down the following numbers. Then read the numbers in two different ways.

a.
456.14 = 400 + 50 + 6 + 

14

100

e. 3,203.00
b.0.06f. 90.03
c.44.41g. 80.8
d.605.6h. 0.55


6. Fill in the blanks.

a.  0.45 = 0.05 + _______e.  23.08 = 0.08 + 3 + _______
b.  0.78 = 0.7 + ________f.  101.52 = 1 + 100 + 0.02 + _______
c.  1.43 = 1 + _______ + 0.03g.  430.21 = 400 + 0.01 + 0.2 +  _______
d.  0.99 = 0.9 + ________h.  14.05 = 10 + _______ + 0.05

7. Mark these decimals on the number line (approximately): 0.2  0.42  0.58  0.13  1.19  0.81  0.75


 

 



See also these free printable worksheets:

Write each decimal given in expanded form in normal form (two decimal digits)

Write decimals as fractions (1-2 decimal digits) (the numbers are less than 1)

Write decimals as mixed numbers (1-2 decimal digits)

Write fractions as decimals (tenths and hundredths) (the numbers are less than 1)

Write improper fractions as decimals (till hundredths)



This lesson is taken from Maria Miller's book Math Mammoth Decimals 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.






Источник: https://www.homeschoolmath.net/teaching/d/hundredths-b.php

Kids Math


Decimals Place Value

Summary

We use decimals as our basic number system. The decimal system is based on the number 10. It is sometimes called a base-10 number system. There are other systems that use different base numbers, like binary numbers which use base-2.

Place Value

One of the first things to learn about decimals is the place value. The place value is the position of a digit in a number. It determines the value that the number holds.

Let's take a basic example:

Comparing the numbers 700, 70, and 7; the digit "7" has a different value depending on its place within the number.

7 - ones place
70 - tens place
700 - hundreds place

The place value of the 7 determines the value it holds for the number. As the place moves to the left, the value of the number becomes greater by 10 times.



Decimal Point

Another important idea for decimals and place value is the decimal point. The decimal point is a dot between digits in a number. Numbers to the left of the decimal point are greater than 1. Numbers to the right of the decimal point hold values smaller than 1. The right of the decimal point is like a fraction.

Example:

0.7 - tenths
0.07 - hundredths

In the case where the place value is to the right of the decimal point, the place tells you the fraction. For example, 0.7 is in the tenths place and represents the fraction 7/10. In the number 0.07 the 7 is in the hundredths place and is the same as the fraction 7/100.




Ten to the Power

In the decimal system each place represents a power of 10. Here is a chart showing how this works.

Millions7,000,0007x106
Hundred thousands700,0007x105
Ten thousands70,0007x104
Thousands7,0007x103
Hundreds7007x102
Tens707x101
Ones77x100
Tenths0.77x10-1
Hundredths0.077x10-2
Thousandths0.0077x10-3
Ten thousandths0.00077x10-4
Hundred thousandths0.000077x10-5
Millionths0.0000077x10-6


For example, when we say 7 is in the hundreds place in the number 700, this is the same as 7x102. You can see from the chart that when the place value is to the right of the decimal point, then the power of 10 becomes negative.

Lining Up Decimals

When you start to do arithmetic with decimals, it will be important to line up the numbers properly. When lining up decimal numbers, be sure to line them up using the decimal point. This way you will have the other place values lined up as well.

Example:

Line up the numbers 2,430 and 12.07.

At first you may want to just write these numbers down like this:

2,430
12.07

However, the decimal points and place values are not lined up. You can rewrite 2,430 with decimal points so that it looks like 2,430.00. Now when you line up the decimal points you get:



The two numbers are lined up by place value and you can begin math like adding or subtracting.

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Источник: https://www.ducksters.com/kidsmath/decimals_place_value.php

Tenths And Hundredths Place Value Chart

Actual: tenths and hundredths place value chart - online free Mobile guidebook

Place Value Chart: Tenths, Hundredths, Thousandths.

Representing tenths and hundredths as fractions and decimals.

Decimals and Fractions - Hundredths.

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Representing Decimals - Tenths and Hundredths Activities. Tenths, Hundredths, and Thousandths.

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Decimal Worksheets

Tenths & Hundredths Mixed

Compare and Order Decimals

This section of our website has a set of worksheets for teaching students to order and compare decimal numbers.

Decimal Addition & Subtraction

Add and subtract decimal numbers with these printable worksheets.

Multiplying Decimals

Learn to multiply pairs of numbers with decimal factors.

Dividing Decimals

Practice long division math problems with decimals in the dividend and/or divisor.

Fraction Worksheets

This page has basic fractions, fractions of a set, comparing and ordering fractions, and more.

Full Math Worksheet Index

View an index of all math worksheets available on Super Teacher Worksheets.

Sample Pictures of
Decimal Activities

Decimal Worksheets

Decimal Worksheet - Number Line

Decimal Activities

Источник: https://www.superteacherworksheets.com/decimals.html

Place Value for Decimals

Just as "ones," "tens," and "hundreds" are used to describe place value for whole numbers, there are terms that describe place value for decimals: tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths, etc. These terms are used from left to right, starting with the first numeral after the decimal point. For example, the number 0.1234 has a "1" in the tenths place, a "2" in the hundredths place, a "3" in the thousandths place, and a "4" in the ten thousandths place. The number 78.304 has a "7" in the tens place, an "8" in the ones place, a "3" in the tenths place, a "0" in the hundredths place, and a "4" in the thousandths place.

Because our system is base ten, a value of 10 in one place is equal to a value of 1 in the place to the left: 10 thousandths is equivalent to 1 hundredth, 10 hundredths is equivalent to 1 tenth, 10 tenths is equivalent to 1 one, and so on.

Example 1. What are the place values for 67.0534?

67.0534 has a 6 in the tens place, a 7 in the ones place, a in the tenths place, a 5 in the hundredths place, a 3 in the thousandths place, and a 4 in the ten thousandths place.

A Fact about Decimals

A decimal does not change when zeros are added at the end. For example, 3.45 is equal to 3.450 is equal to 3.4500, and so on.

Comparing Decimals

It is sometimes tricky to determine which decimal is the larger of two decimals. Upon first glance, it appears that 0.304 is larger than 0.62, because 304 is larger than 62. However, this is not the case. In order to determine which decimal is larger, we must compare the two place-by-place, starting from the tenths place, until the decimals differ. 0.304 has a "3" in the tenths place, and 0.62 has a "6" in the tenths place. Since 6 is greater than 3, 0.62 is greater than 0.304--it is not necessary to look to further decimal places.

Example 2. Compare 0.4531 and 0.4507. Which is greater?

0.4531 and 0.4507 both have a "4" in the tenths place.
0.4531 and 0.4507 both have a "5" in the hundredths place.
0.4531 has a "3" in the thousandths place and 0.4507 has a "0" in the thousandths place.
3 is greater than 0, so 0.4531 is greater than 0.4507.

Previous sectionIntroduction and SummaryNext pagePlace Value and Comparing Decimals page 2

Источник: https://www.sparknotes.com/math/prealgebra/decimals/section1/

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