Decimals Numbers and Number Sense By Kathy Russo and Roberta Morse Martin Luther King Jr. Elementary School The buttons on each page will take you forward or backward when you left-click your mouse on them. Dear Student, In this presentation, you will learn about decimals! You will have the chance to review decimal concepts. You

will also be able to practice your decimal skills. We hope you have fun! Mrs. Russo and Mrs. Morse Click here to see the Standards Of Learning objectives you will cover. Click here to begin learning about decimals.

SOL Objective 5.1 The student will read, write and identify the place values of decimals through tenthousandths. Next objective SOL Objective 5.2 The student will compare the value of two decimals through ten-thousandths using the symbols >, <, or =. Begin working with decimals

What is a decimal? A decimal is a part of a whole. Think about money. One dollar, 4 dimes, and 3 pennies is written in decimal form. $1.43 It takes 10 dimes to make 1 dollar, so a dime is one-tenth of

a dollar. One dollar is equal to 10 dimes. It takes 100 pennies to make a dollar, so each penny is equal to one-hundredth of a dollar. One dime is equal to 10 pennies. It takes 10 dimes to make 1 dollar, so a dime is one-tenth of a dollar.

$0.10 = one dime It takes 100 pennies to make 1 dollar, so a penny is onehundredth of a dollar. $0.01 = one penny Practice writing these amounts of money as decimals on a sheet of paper. 71 cents 6 cents

119 cents 215 cents Click here to check your answers. Money is one way we use decimals every day, but decimals are used for more than just money. Decimals are special fractions with certain

multiples of ten in the denominator. 1 = 0.1 10 one tenth 1 = 0.01 100 one hundredth 1 = 0.001

1,000 1 = 0.0001 10,000 one thousandth one ten-thousandth Decimals can also be shown on the place value chart.

ten-thousandths t housandths hundredt hs tenths ones tens hundreds

thousands Everything to the left of the decimal point is a WHOLE number. Everything to the right of the decimal point is PART of a whole. ones

4 ten-thousandths thousandths hundredths tenths tens hundreds

thousands 1 This shows 14 (fourteen) spiders. ten-thousandths thousandths ones 5

hundredths tens 1 tenths hundreds thousands 1

This shows 115 (one hundred fifteen) candycorns. Really! Count them. Remember the dime? It was less than one whole. It was only a part of 1 whole dollar. 0 1 0 ten-thousandths

thousandths hundredths tenths ones tens hundreds thousands

1 dime = $0.10, so we will write it in the tenths and hundredths place value positions. 0 1 0 1 ten-thousandths

thousandths hundredths tenths ones tens hundreds thousands

$0.10 = 0.1 ten hundredths = one tenth 0 There are no whole dollars, only part of a whole. 0 0 1

ten-thousandths thousandths hundredths tenths ones tens hundreds

thousands A penny is also only a part of 1 whole dollar. 1 penny = $0.01 since it is one hundredth of a dollar we will write it in the hundredths place value position. 0 2 5

ten-thousandths thousandths hundredths tenths ones tens hundreds

thousands A quarter is also less than 1 whole dollar. 1 quarter = $0.25, so we will write it in the tenths and hundredths place value positions. tens ones tenths 1 3 4

0 0 0 ten-thousandths thousandths hundredths hundreds one hundredthirty -four andseven ten-thousandths

7 Remember, decimals are special fractions with certain multiples of ten in the denominator. 1 = 0.1 10 one tenth 1 = 0.01 100

one hundredth 1 = 0.001 1,000 1 = 0.0001 10,000 one thousandth one ten-thousandth

Decimals show parts of wholes in divisions of ten. Decimals can show parts of wholes in divisions of hundreds or thousands. Now practice writing and saying some decimals. (Write your answers on paper. Then check your by clicking below.) What portion of the square is green? What portion of the

square is yellow? Click here for the answer. work 0.4 (or four tenths) of the square is green. 0.6 (six tenths) of the square is yellow. (Does this match what you wrote on your paper?) Click here to hear

the answer. Click here and try another one! 0.4 0.6 How many hundredths are red? Click here to find out.

How many hundredths are yellow? 32 hundredths are red, 0.32 68 hundredths are yellow, 0.68 Click to hear the answer. Click here and try another one! How many thousandth

s are purple? How many are blue? Dont forget to write your answers down! Check your answer here. 872 thousandths are purple. This

number is written 0.872 128 thousandths are blue. This number is written 0.128 Did you check your work? More Click this button to hear the numbers.

How many thousandth s are green? How many thousandth s are blue? Check your answers here. 44 thousandths 0.044 are

green. 956 thousandths 0.956 are blue. More Click this button to hear the numbers. Compare these decimals. 0.4 < 0.6

four tenths is LESS THAN six tenths Compare these decimals. 0.4 = 0.40 four tenths IS EQUAL TO forty hundredths eight tenths is greater than eight hundredths eight hundredths is greater than eight thousandths 0.8 >

0.08 > 0.008 Compare these decimals using <, >, or =. A. 0.6 and 0.7 Check your answers.

B. 0.39 and 0.3 A. 0.6 < 0.7 B. 0.39 > 0.3 0.39 0.6 Click to hear the answers. 0.7

0.3 Compare these decimals using <, >, or =. C. 0.54 and 0.56 Check your answers. D. 0.20 and 0.2 C. 0.54 < 0.56 0.54 D. 0.20 = 0.2

0.20 Click to hear the answers. 0.56 0.2 Click below to play a very cool decimal game! Microsoft Excel Worksheet

When you are finished, close the Excel window by clicking on the x in the top right hand corner. Click below to play again, this time with hundredths and thousandths. Microsoft Excel Worksheet When you are finished, close the Excel window by clicking on the x in the top right hand corner. For more fun with decimals check out these: Games:

Virtual Counting Stick Turtle Races Web Sites: See Burly Middle Schools Numeracy Activities. It is full of wonderful math games! http://www.numeracyresources.co.uk/ Math Internet Projects Books:

Patriarca, Linda A., Scheffel, Marilyn, and Hedeman, Sheila. Decimals:A Place Value Approach. Dale Seymour Publications Burns, Marilyn. About Teaching Mathematics A K-8 Resource. Math Solutions Publications Decimals Numbers and Number Sense Written by Kathy Russo and Roberta Morse Martin Luther King Jr. Elementary School SOL Objective 5.1 The student will read, write and identify the place values of decimals through ten-thousandths. SOL Objective 5.2 The student will compare the value of two decimals through tenthousandths Credits:

using the symbols >, <, or =. Thank you to Mark Cogan at Burley Middle School for permission to link to his website. This presentation was created using Microsoft PowerPoint 97. Graphics from Jasc Paint Shop Pro version 6.02. Decimal Squares were created using Microsoft Excel 97. Practice writing these amounts of money as decimals on a sheet of paper. 71 cents $0.71

6 cents $0.06 119 cents $1.19 215 cents $2.15