Today we will be learning about Place value to 3 Decimal places. Good Afternoon! Today we will be learning about Place value to 3 Decimal places. Let’s warm up : Write the place value of the underlined digit: 567,032. Given this number 9,360,582,174 which digit is in the ten thousands place? tens place? c) billions place? CONFIDENTIAL

Let’s first review what we learnt about place value of Whole Numbers before proceeding further. * PLACE VALUE helps you better understand the WHOLE NUMBERS (0,1,2,3,4,5,6,7,8,9,.....) *To determine the VALUE of each DIGIT in the number, we need to look at its PLACE in the number. CONFIDENTIAL

For example, let's look at the number 423. Hundreds Place Tens Place Ones Place 4 2 3 The value of the 4 is 4 hundreds or 400 The value of the 2 is 2 tens or 20 The value of the 3 is 3 ones or 3 CONFIDENTIAL

Notice the commas separating every 3 digits. Here is the Place-Value Chart to the BILLIONS place. Hundred Millions Millions Ten Hundred Thousands Billions Thousands Ten Thousands Ones Millions Hundreds Tens , , , Notice the commas separating every 3 digits. CONFIDENTIAL

Let’s get started with the Decimal numbers. 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

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

If a decimal is less than 1, place a zero before the decimal point If a decimal is less than 1, place a zero before the decimal point. Write 0.7 not .7 Tenths have one digit after the decimal point. The decimal 0.8 is pronounced “Eight tenths" or "zero point eight". Hundredths have two digits after the decimal point. The decimal 0.36 is pronounced “Thirty-six hundredths" or "zero point thirty-six". Thousandths follow a similar pattern. They have three digits after the decimal point. The decimal 0.749 is pronounced “Seven hundred forty-nine thousandths" or "zero point seven four nine". CONFIDENTIAL

The third digit is the thousandths place which is Five thousandths. 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

We can represent a decimal number with the help of models. Represent 2.4 with the help of model. We are given “Two and Four Tenths’ to represent with the help of models. The shaded portion with blue shows Two and Four Tenths. CONFIDENTIAL

We can represent a decimal number on the number line. Represent 3.7 and 4.2 on the number line. 3.7 .5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 4.5 5.0 4.2 CONFIDENTIAL

. We know that the Place Value is the value given to a digit by its place in a number. Here is the place value chart for decimal numbers. . ONES TENTHS HUNDREDTHS THOUSANDTHS A decimal number is named by reading the number and place value of the last digit at the right. Decimal CONFIDENTIAL

. Write the word name for “ 0.4 “ with the help of place- value chart. ONES TENTHS 4 We know that a decimal number is named by reading the number and place value of the last digit at the right. . So the word form of 0.4 is: Four Tenths. This can also be shown with the help of models. The portion shaded with green represents the valve 0.4 CONFIDENTIAL

. 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

. Write the word name for the decimal “ 0.327 “ Here is the place value chart for decimal numbers. . ONES TENTHS HUNDREDTHS THOUSANDTHS 3 2 7 The word form of 0.327 is: Three hundred twenty seven thousandths. CONFIDENTIAL

Decimals greater than 1 Write the word name for the decimal number“ 5.68 “ Here is the place value chart. . ONES TENTHS HUNDREDTHS 5 6 8 The word form of 5.68 is: Five and sixty eight hundredths. This can also be shown with the help of models. The portion shaded with green represents the valve 5.68 CONFIDENTIAL

How is 7 in 0.7 different from 7 in 0.07? Analyze: How is 7 in 0.7 different from 7 in 0.07? 7 in 0.7 is at the tenths place and at the hundredths place in 0.07. Write the word name for “ 0.9 “ with the help of place- value chart. CONFIDENTIAL

This model shows the value 0.4 This model shows the value 0.40 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

BREAK CONFIDENTIAL

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Assessment Write the word name for the following with the help of place- value chart. 1) 0.6 2) 6.83 CONFIDENTIAL

Represent the following on the on the number line. 3) 1.6 4) 2.8 CONFIDENTIAL

Given this number 0.9875 which digit is in the 5) tenths place? 6) hundredths place? 7) Thousandths place? 8) Ten thousandths place? CONFIDENTIAL

What is the standard form of: 9) Twenty-nine hundredths 10) Two hundred forty-five thousandths CONFIDENTIAL

Very Good! Let's Review DECIMAL: A number that uses place value and a decimal point to show tenths, hundredths and the thousandths. DECIMAL POINT: A period separating the ones and the tenths in the decimal is the Decimal Point. If a decimal is less than 1, place a zero before the decimal point. Write 0.7 not .7 Tenths have one digit after the decimal point. The decimal 0.8 is pronounced “Eight tenths" or "zero point eight". Hundredths have two digits after the decimal point. The decimal 0.36 is pronounced “Thirty-six hundredths" or "zero point thirty-six". Thousandths follow a similar pattern. They have three digits after the decimal point. The decimal 0.749 is pronounced “Seven hundred forty-nine thousandths" or "zero point seven four nine". CONFIDENTIAL

The third digit is the thousandths place which is Five thousandths. 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 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

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