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Dubai

Understanding And Using Place Value

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Published in: Mathematics | Maths
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Cambridge Lower Secondary Mathematics Year 7 /8 Mathematics

Namal I / Dubai

10 years of teaching experience

Qualification: BA(Economics)Special (Hons)(2nd Class). MA(Economics), MA(Financial Economics),M.Econ, MBA, PGD in Information Technology, MIT-Master of Information Technology, NVQ Level 4: Diploma in Computer Networking.

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  1. Cambridge Lower Secondary Mathematics Year 7 /8 Mathematics 8/23/2024 Understanding and Using Place Value for Large Numbers and Decimals 1. Introduction to Place Value (10 Minutes) Objective: Introduce the concept of place value and its importance in mathematics. • Key Idea: Place value is the value of each digit in a rumber based on its position. understanding place value is essential for accurately reading, writing, and working with numbers.
  2. Understanding and Using Place Value 2. Place Value in Large Numbers (10 Minutes) Explanation: • In large numbers, each digit represents a different value based on its position. Examples: 1. Number: 6,482 6 is in tie Hnousands place: 6 x 1, 000 = 6, 000 4 is in tie hundreds place: 8 is in Mne tens place: 8 x • 2 is in Mne ones place: 2 x 10 = 80 1=2
  3. Understanding and Using Place Value Number: 35,207 2. 3 is in he ten thousands place: 3 x 10, 000 = 30, 000 5 is in tie thousands place: 5 x 1, 000 = 5, 000 2 is in he hundreds place: 2 x 100 = 200 O is in frie tens place: Ox 10 = 0 7 is in tie ones place: 7 x 1 = 7 Activity: Write Hie expanded form of 49,506. Answer: + 9, + •500
  4. Understanding and Using Place Value 3. Place Value in Decimals (10 Minutes) Explanation: Place value also applies to digits in decimals, where each position to frie right of Mne decimal point represents a fraction of ten (tenths, hundreffs, thousandths, etc.). Examples: 1. Number: 53.276 5 is in he tens place: 5 x 10 50 3 is in he ones place: 3 x 1 = g 2 is in he tenths place: 2 x 0.1 0.2 • 7 is in he hundredffns place: 7 x 0.01 0.07 • 6 is in he housandffns place: 6 x 0.001 0.006
  5. Understanding and Using Place Value 2. Number: 0.409 O is in Hie ones place: Ox 1 = 0 4 is in Une tents place: 4 x 0.1 0.4 O is in the hundredths place: O x 0.01 = 0 9 is in Hie Hnousandhs place: 9 x 0.001 = 0.009 Activity: • Identify Hie place value of 5 in frie number 0.582. Answer: TenHns place (0.5)
  6. Understanding and Using Place Value 4. Practice Exercises (10 Minutes) Objective: Apply what you've learned about place value to complete tie following exercises. Exercise 1: Write he nurnber 4,927 in expanded form. Exercise 2: What is fre value of the digit 6 in the number 67.45? • Answer: 6 x 10 = 60 Exercise 3: Exercise 4: Answer Compare the numbers 3,245 and 3,425. Which one is larger? 3,425 Write frie decimal 0.307 in expanded form. 0.3 + 0.007
  7. Understanding and Using Place Value Large Numbers 1. Write in Expanded Form: Number: 8,531 Answer: + 500 + I 2. Identify the Place Value: What is he place value of he digit 7 in he number 47,620? Answer 7 x 1, 000 = 7,000 3. Cornpare Numbers: • Which is larger, 56,432 or 56,243? Answer: 56,432 4. Write in Standard Form: Expanded Form: 50, 000 + 3, 000 + 200 + 10 -F 4 • Answer: 53,214 : Exercises
  8. Understanding and Using Place Value 5. Fill in the Blank: : Exercises The number 5,???,300 has 5 in the thousands place and 3 in the hundreds place. What digit should replace the question marks to make number • Answer: 6 Write in Expanded Form: 6. Number: 72,054 • : O O O + 2 , —k 50 4
  9. Understanding and Using Place Value : Exercises 7. 8. 9. Identify the Place Value: What is frie place value of Mne digit 3 in Mne number 823,406? • Answer: 3 x 100 = 300 Compare Numbers: Which is larger, 94,567 or 95,467? • : 95,467 Write in Standard Form: • Answer: 97,861
  10. Understanding and Using Place Value 10. Fill in the Blank: • The rurnber has 7 in the thousands place and 8 in he tans place. What digit should rep ace tie question ma-ks to make the number • Answer: 2 Decimals 11. Write in Expanded Form: Number: 5.724 12, Identify the Place Value: What is he p ace value of the digit 4 in the rumber 2.384? 4 x 0.01 = 0.04 13, Cornpare Decimals: Wh ch is la-ger, 3.456 or 3.465? 3.465 : Exercises
  11. Understanding and Using Place Value 14. Write in Standard Form: • Expanded Form: 6 + 0.4 + 0.05 + 0.006 Answer: 6.456 15. Fill in the Blank: The number 8 in tae ones place and 3 in the thousandts place. What digits should replace fre question marks to make the number 8.2763? • Answer: 2 and 7 16. Write in Expanded Form: • Number: 0.503 5 + 003 17. Identify the Place Value: What is he place value of he digit 9 in he rumber 0.979? Answer: 9 x 0.01 = 0.09 : Exercises
  12. Understanding and Using Place Value 18. Compare Decimals: Which is larger, 1.234 or 1.243? Answer: 1.243 19. Write in Standard Form: Expanded Form: 2 + 0.8 + 0.06 + 0.009 . Answer: 2.869 20. Fill in the Blank: : Exercises • The number has 4 in tie Hnousandffns place, What digits should replace Mne question marks to make frie number 0.0924? Answer: O and 9

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