Today we will be learning about Good Afternoon! Today we will be learning about Estimating, comparing & ordering Of Decimal numbers. Let’s warm up : Write the word name for the following: 1) Fifteen and forty two hundredths 1) 15.42 2) 8.9 2) Eight and nine tenths 3) 0.578 3) Five hundred and seventy eight thousandths What is the standard form of: 4) 0.32 4) Thirty-two hundredths 5) Five hundred ninety-nine thousandths 5) 0.599 CONFIDENTIAL

Review DECIMAL: A number that uses place value and a decimal point to show tenths, hundredths and the thousandths. 0.1 is a decimal number for one tenth. 0.12 is a decimal number for twelve hundredths. 0.125 is a decimal number for one hundred twenty-five thousandths. DECIMAL POINT: A period separating the ones and the tenths in the decimal is the Decimal Point. CONFIDENTIAL

Review The decimal 0.4 could be pronounced as FOUR TENTHS or as ZERO POINT FOUR . There are other decimals such as hundredths or thousandths. They all are based on the number ten just like our number system. A decimal may be greater than one. The decimal 3.4 would be pronounced as THREE AND FOUR TENTHS. The decimal 11.64 could be pronounced as ELEVEN AND SIXTY-FOUR HUNDREDTHS or as TWELVE POINT SIXTY-FOUR . CONFIDENTIAL

The third digit is the thousandths place which is Five thousandths. Review Decimal numbers, such as O.3657, have four digits after the decimal point.  Each digit is a different place value.   The first digit after the decimal point is called the tenths place value. There are Three tenths in the number O. 3657. The second digit tells you how many hundredths there are in the number.  The number O. 3657 has Six hundredths.  The third digit is the thousandths place which is Five thousandths.  The fourth digit is the ten thousandths place which is Seven ten thousandths in this example.  Therefore, there are Three tenths, Six hundredths, Five thousandths, and Seven ten thousandths in the number 0. 3657. CONFIDENTIAL

This model shows the value 0.4 This model shows the value 0.40 Review EQUIVALENT DECIMALS: Decimals that name the same numbers and show the same value are Equivalent decimals. 0.4 and 0.40 are Equivalent decimals. This model shows the value 0.4 This model shows the value 0.40 CONFIDENTIAL

. Review Write the word name for the decimal “ 0.57 “ ONES TENTHS HUNDREDTHS 5 7 We will name the decimal number by reading the number and place value of the last digit at the right. So, the word form of 0.57 is: Fifty Seven Hundredths. This can also be shown with the help of models. The portion shaded with green represents the valve 0.57 CONFIDENTIAL

If each decimal place value is the same then the decimals are equal. Let’s get started with the Decimal numbers If there are two decimal numbers we can compare them.  One number is either greater than, less than or equal to the other number. When decimals are compared start with tenths place and then hundredths place, etc. If one decimal has a higher number in the tenths place then it is larger than a decimal with fewer tenths. If the tenths are equal compare the hundredths, then the thousandths etc. until one decimal is larger or there are no more places to compare. If each decimal place value is the same then the decimals are equal. CONFIDENTIAL

We can compare and order decimals by locating them on a number line. The ordering of numbers is best shown on a number line. The value of a number increases as you move to the right along the number line. To compare two numbers, first locate each number on the number line. The number on the left is always less than any number to its right. CONFIDENTIAL

Compare 3.7 and 3.2 Hence, 3.2< 3.7 Number on the right. Number on the left. 3.4 3.7 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 Hence, 3.2< 3.7 CONFIDENTIAL

Understanding of comparing and ordering whole numbers can be smoothly transferred to comparing and ordering decimal numbers. The most important concept for students to remember is that to compare or order numbers, they must first align them by place value. Then they compare the digits from left to right until they are different. The number with the greater different digit is the greater of the two numbers. We always compare from left to right because the place values on the left are the greatest. CONFIDENTIAL

Align the decimal points by place value. Compare 8.65 and 8.8 STEP 1: Align the decimal points by place value. 8.65 8.8 STEP 2: Fill in the place value with zeroes. 8.65 8.80 CONFIDENTIAL

Compare the digits from left to right until they are different. STEP 3: Compare the digits from left to right until they are different. Different 8.65 Same 8.80 Since 6<8, 8.65 < 8.8. Left to right CONFIDENTIAL

Order 5.49, 5.4, 5.57and 6.03 from Greatest to Least. STEP 1: Align the decimal points by place value. 5.49 Fill in the place value with zeroes 5.40 5.57 6>5. So, 6.03 is the greatest decimal. 6.03 STEP 2: Compare the tenths. 5.49 5.40 Here, 5.57 > 5.49 5.57 > 5.40 5.57 CONFIDENTIAL

Compare the hundredths. STEP 3: Compare the hundredths. 5.49 5.49 > 5.40 5.40 The order from greatest to least is 6.03, 5.57, 5.49, 5.4. CONFIDENTIAL

Order 0.43, 0.471 and 0.474 from Least to Greatest. STEP 1: Compare the hundredths. 0.430 3 < 7. So, 0.430 is the least decimal. 0.471 0.474 STEP 2: Compare the thousandths. 0.471 1 < 4. So, 0.471 < 0.474. 0.474 The order from least to greatest is 0.430, 0.471 , 0.474. CONFIDENTIAL

BREAK CONFIDENTIAL

Click on the link below for some exciting puzzle GAME Click on the link below for some exciting puzzle http://http://www.thekidzpage.com/onlinejigsawpuzzles/kids-jigsaw-puzzles/12-piece-jigsaw/12-27-06-piggy.html CONFIDENTIAL

Compare. Write >, <, or, =. Assignments Compare. Write >, <, or, =. 1) 4.78 4.68 2) 6.70 6.7 1) > 2) = 3) 0.652 0.657 4) 6.18 6.67 3) < 4) < 6) 8.9 8.98 5) 0.78 0.78 5) = 6) < CONFIDENTIAL

Write in order from greatest to least. 7) 5.78, 4.68, 4.8, 5.44 7) 5.78, 5.44, 4.8, 4.68 8) 0.956, 0.868, 0.856, 0.767 8) 0.956, 0.868, 0.856, 0.767 CONFIDENTIAL

Write in order from least to greatest. 9) 0.78, 0.68, 0.8, 0.44 9) 0.44, 0.68, 0.78, 0.8 10) 7. 567, 6.45, 7.894, 5.474 10) 5.474, 6.45, 7.567, 7.894 CONFIDENTIAL

If each decimal place value is the same then the decimals are equal. Let’s review what we did today. If there are two decimal numbers we can compare them.  One number is either greater than, less than or equal to the other number. When decimals are compared start with tenths place and then hundredths place, etc. If one decimal has a higher number in the tenths place then it is larger than a decimal with fewer tenths. If the tenths are equal compare the hundredths, then the thousandths etc. until one decimal is larger or there are no more places to compare. If each decimal place value is the same then the decimals are equal. The ordering of numbers is best shown on a number line. The number on the left is always less than any number to its right. CONFIDENTIAL

Compare 8.65 and 8.8 STEP 1: Align the decimal points by place value. Compare the digits from left to right until they are different. STEP 2: Fill in the place value with zeroes. Same 8.65 Different 8.80 8.65 8.80 Left to right Since 6<8, 8.65 < 8.8. CONFIDENTIAL

Order 0.43, 0.471 and 0.474 from Least to Greatest. STEP 1: Compare the hundredths. 0.430 3 < 7. So, 0.430 is the least decimal. 0.471 0.474 STEP 2: Compare the thousandths. 0.471 1 < 4. So, 0.471 < 0.474. 0.474 The order from least to greatest is 0.430, 0.471 , 0.474. CONFIDENTIAL

See you in the next session. You have done a nice job. See you in the next session. CONFIDENTIAL