Decimals.pdf

Decimals Numbers and Number Sense 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 abl...

Decimals Numbers and Number Sense 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!  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 one-hundredth 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 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 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 1 = 0.1 = 0.01 10 100 one tenth one hundredth 1 1 = 0.001 = 0.0001 1,000 10,000 one thousandth one ten-thousandth Decimals can also be shown on the place value chart.  ten-thousandths thousandths hundredths thousands hundreds tenths ones tens Everything to the Everything to the left of the decimal right of the decimal point is a WHOLE point is PART of a number. whole.  ten-thousandths thousandths hundredths thousands hundreds tenths ones 1 tens 1 5 This shows 115 (one hundred fifteen) candy-corns. Really! Count them. Remember the dime? It was less than one whole. It was only a part of 1 whole dollar. 1 dime = $0.10, so we will write it in the tenths and hundredths place value positions. ten-thousandths thousandths hundredths thousands hundreds tenths ones tens 0 1 0  $0.10 = 0.1 ten hundredths = one tenth ten-thousandths thousandths hundredths thousands hundreds tenths ones tens 0 1 0 0 1 There are no whole dollars, only part of a whole. 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. ten-thousandths thousandths hundredths thousands hundreds tenths ones tens 0 0 1  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. ten-thousandths thousandths hundredths thousands hundreds tenths ones tens 0 2 5 1 hundreds 3 tens 4 ones 0 tenths 0 hundredths 0 thousandths 7 ten-thousandths one hundred thirty -four and seven ten-thousandths  Remember, decimals are special fractions with certain multiples of ten in the denominator. 1 1 = 0.1 = 0.01 10 100 one tenth one hundredth 1 1 = 0.001 = 0.0001 1,000 10,000 one thousandth one ten-thousandth Decimals show parts of wholes in divisions of ten. one whole tenths  hundredths thousandths Decimals can show parts of wholes in divisions of hundreds or thousands.  tenths one hundredths thousandths Now practice writing and saying some decimals. (Write your answers on paper. Then check your work by clicking below.) What portion of the square is green? What portion of the square is yellow? 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?) 0.4 0.6 How many hundredths are red? How many hundredths are yellow? 32 hundredths are red, 0.32 68 hundredths are yellow, 0.68 Click here and try another one!  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. Check your answers. B. 0.39 and 0.3  Compare these decimals using , or =. C. 0.54 and 0.56 Check your answers. Check your answers. D. 0.20 and 0.2 C. 0.54 < 0.56 D. 0.20 = 0.2 0.54 0.20 Click to hear the answers. 0.56 0.2