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Dubai

PLACE VALUE AND EXPANSION OF DECIMALS

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Published in: Mathematics
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Pre-Assessment A fraction in which the denominator is 10, 100, 1000.....etc is called a decimal fraction Tenth, Hundredths and Thousandths of a decimal Decimal Place Value Chart Decimal and Fractional Expansion

Smitha V / Sharjah

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  1. PRE- ASSESSMENT 1) When 1 is divided into 10 equal parts each part is known as 2) 1/10 in decimal is written as read as 3) 0.01 is read as and 4) Write the fraction to equivalent to 0.08
  2. Tenths ) 0.1 and zero point one ) Zero point zero one 4) 8/100 For better understanding of fourth answer please watch the below video https://youtu.be/VXrk065J_Js
  3. LEARNING OBJECTIVE Identify the Whole Number and Decimal Part and Understand the Place Value of digit using Place Value Chart.
  4. DECIMALS > A fraction in which the denominator is 10, . is called a decimal fraction. 1000, For example: A, -L and -22— are decimal 10 100 1000 fractions. https://youtu.be/aLSGXgvg50w 100,
  5. 39.107 = 39 + + + 10 100 1000 Notice the following pattern, L 0-7 0-9 0-453 0-0069 The number of digits after the decimal point in the decimal numeral is equal to the number Of zeros after in the denominator Of the corresponding common fraction.
  6. TENTH Take a long strip of paper and divide it into 10 equal parts, as shown. Shade 1 of the 10 equal parts of the strip. The shaded part of the strip is one-tenth of the entire strip. It is written as This is a decimal fraction. 10 10
  7. Hundredth Make a square. Divide it into 10 equal strips. Each strip of the square (onetenth of the square) Now, di vide each strip into ten equal parts. so, the square is now divided into 100 equal parts. Each part of the square —L— 100 It is called one-hundredth. In decimal form, it is written as 0.01. You will also notick' that one-tenth ten 10 100
  8. Thousandth If we divide Objed iti 1000 equal pads, then each part is called one.lhousandlh 1100 In decimal form, we It is written as Grasp li I 10 hillldredlhs I hillidredlll 10 lh01ßåtdllls
  9. numbers. The point in 0.1 is called the decimal point. The decimal number 0.1 is read as zero point one. We read 003 as zero point zero One, 007 as zero point zero seven and 073 as zero point seven three. Maths Alert It l', wrong to read as zero point seventy three A decimal number can be represented in the following form:— Decimal point 2.3 Whole number part Decimal part
  10. WATCH THE BELOW VIDEOS FOR BETTER UNDERSTANDING OF PLACE VALUE https: / (youtu.be (upwaWcA5 https://www.youtube.com/wat ch?v=wtrrrl 5mbvQ&feature=you
  11. Decimal Place value chart Place Place value 3.25 145.106 24.079 1000 IOO 10 10 100
  12. Example 1: Write the place value of each digit in 148.154. Solution: 1 hundred = 100 4 tens 8 ones 148.154 4 4 thousandths = = 0.004 1000 5 hundredths = = 0.05 1 I tenth = — 0.1
  13. ECIMAL AND FRACTIONAL EXPANSION 6 5 2 9 6785.293 = 6 thousands + 7 hundreds + 8 tens + 5 ones + 2 tenths + 9 hundredths +3 thousandths 10 100 1000 293 6785 = 6000 + 700 + 6000 + 700 + 80 + 5 9 3 10 100 1000 Fractional form + 0.2 + 0.09 + 0.003 Decimal form
  14. WA TCH THE BELO W VIDEOS FOR BETTER UNDERSTANDING OF DECIMAL AND https://www.youtube.com/watch?v=MdkE htt s://www. msSsGo&feature=youtu. be
  15. COMMON QUESTIONS Write the place and place value of the underlined digits a). 35.72 b) 12.35 2. Write the following in both decimal and fractional expanded form. a) 672.3116 b) 32.123
  16. ANSWERS - COMMON QUEST ON 1 (a) Place = 5 Ones mace Value = 5 X 1 = 5 1 (b) Place = 5 hundredths mace Value = 5/ 100 or 0.05 2 (a) 672.3116 Decimal Expansion = 600+70+2+0.3+0.01+0.001+0.0006 Fractional Expansion = 600+70+2+3/ 10+1/ 100+1/1000+6/ 1 0000 2(b) 32.123 Decimal Expansion = 30+2+0.1+0.02+0.03 Fractional Expansion = 30+2+1/ 10+2/ 100+3/ 1000
  17. LEVEL 1 Write the following in decimal form : 4 hundreds + 3 tens + 7 ones + 6 tenths + 9 hundredths + 3 thousandths LEVEL 2 What is the place of 3 in 21.038 ? LEVEL 3 LEVEL 4 What is one hundredth Use the numbers of the place value of 7 9,9,9,4,0 to form in 53967? three numbers less than 0.9999.
  18. ANSWERS ZiCÅÅLLÉNiGEs LEVEL 1 437.693 LEVEL 3 PLACE = 3 hundredths LEVEL 2 539.67 LEVEL 4 0.4999 0.9499 0.9994
  19. In the nur-nber •what place value is the digit 2 in? 6.3529 a) Tens c) Hun d red ths b) Thousanths d) Ones 2. Choose the correct expanded forrn of frorn you r options belove a) 3 and seven hundred four thousandths VVhich digit is in the tenths place? 236.4791 b) 7 VVhat is the place value of the digit 6 in the nurnber be 10M'? 247-167 ten ths Students, write your response! b) tens '1 ooc pear Deck Interactive Slide Do:not remove this bar
  20. Summarize what you've just learned: Students, write your response! Pear Slide Do not remove this bar
  21. Reflect on today's activities: 1) What value does the 6 represent in the number 240.65 What was easy? Students, write your response! 2) The digit 9 in which number represent a value of 0.009 ? A) 0.729 B) 2.095 What was hard? Pear Slide Do nat remove this bar

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