MATHEMATICS5 Q2 7 compare and order decimal num.pptx

Grade 5 Math Q-2 Week 7

1. Decimal Detective: Comparing and Ordering to the Thousandths

2. Welcome to Decimal Detective! Today, we'll become decimal detectives We'll learn to compare and order decimals up to thousandths Get ready to solve the mystery of decimal numbers!

3. What Are Decimals? Decimals are numbers with a decimal point They show parts of a whole number Examples: 0.5, 3.14, 2.075 Can you think of where you've seen decimals in real life?

4. Place Value Review Ones, tenths, hundredths, thousandths Each place is 10 times smaller than the one to its left 0.1 = one tenth 0.01 = one hundredth 0.001 = one thousandth

5. Reading Decimals 0.5 is read as "five tenths" 0.25 is read as "twenty-five hundredths" 0.125 is read as "one hundred twenty-five thousandths" How would you read 0.372?

6. Comparing Decimals: The Basics Look at the digits from left to right Compare the digits in the same place value The first different digit determines which is greater Remember: 0.3 > 0.2, just like 3 > 2

7. Using Symbols to Compare We use symbols to show how decimals compare > means "greater than" < means "less than" = means "equal to" Example: 0.5 > 0.4, 0.2 < 0.3, 0.75 = 0.750

8. Comparing to the Hundredths Compare 0.45 and 0.52 Start with tenths: 4 tenths < 5 tenths So, 0.45 < 0.52 What about 0.67 and 0.61?

9. Introducing Thousandths Thousandths are the third digit after the decimal point They represent 1/1000 of a whole Examples: 0.123, 0.007, 0.400 Can you identify the thousandths digit in each example?

10. Comparing to the Thousandths Compare 0.352 and 0.357 Tenths and hundredths are the same Look at thousandths: 2 < 7 So, 0.352 < 0.357 Try comparing 0.628 and 0.625

11. Adding Zeros Doesn't Change the Value 0.3 = 0.30 = 0.300 Adding zeros to the right doesn't change the value This helps when comparing decimals with different lengths How would you write 0.7 to the thousandths place?

12. Lining Up Decimal Points When comparing, line up the decimal points Add zeros if needed to make lengths equal Example: 0.8 vs 0.75 Becomes: 0.800 vs 0.750 Now it's easy to see 0.8 > 0.75

13. Ordering Decimals To order decimals, compare them pair by pair Start with the smallest or largest Example: Order 0.5, 0.05, 0.555 from least to greatest Result: 0.05 < 0.5 < 0.555 Can you order them from greatest to least?

14. Real-World Example: Money Decimals are used for money $0.25 is a quarter, $0.10 is a dime, $0.05 is a nickel $3.50 is three dollars and fifty cents If you have $2.75 and your friend has $2.80, who has more?

15. Real-World Example: Sports Race times often use decimals A runner might finish in 10.45 seconds Another might finish in 10.52 seconds Who won the race? How do you know?

16. Practice Time: Comparing Compare these decimals: 0.823 ___ 0.832 0.7 ___ 0.070 0.405 ___ 0.45 0.671 ___ 0.67 Fill in the blanks with <, >, or =

17. Practice Time: Ordering Order these decimals from least to greatest: 0.953, 0.935, 0.539, 0.395 Hint: Line up the decimal points and compare How would you order them from greatest to least?

18. Introduction to Decimals Decimals are numbers with a dot called a decimal point. They represent parts of a whole. Commonly used in money, measurements, and more. Why do you think decimals are important in everyday life?

19. Place Value in Decimals Each digit in a decimal has a place value. Places include tenths, hundredths, and thousandths. Example: In 3.456, 4 is in the tenths place. Can you identify the place value of each digit in 5.789?

20. Comparing Decimals Compare decimals by looking at the highest place value first. Start from the left and move right. Example: 0.456 is less than 0.567. Which is greater: 0.789 or 0.780?

21. Using Number Lines Number lines help visualize decimal comparisons. Place decimals on the line to see which is larger. Practice placing 0.3, 0.35, and 0.4 on a number line. How does this help you compare decimals?

22. Ordering Decimals Arrange decimals from smallest to largest. Compare each digit starting from the left. Example: Order 0.5, 0.45, 0.456. Can you order 0.123, 0.132, and 0.213?

23. Decimals in Real Life Decimals are used in money, like $3.45. Measurements often use decimals, such as 1.75 meters. Why is it important to understand decimals in these situations?

24. Decimals in Money Dollars and cents are written as decimals. Example: $4.25 means 4 dollars and 25 cents. Practice: Write $3.50 as a decimal. How do decimals help in counting money?

25. Decimals in Measurements Measurements like length and weight use decimals. Example: 2.5 kg or 1.75 meters. Why do you think decimals are useful in measurements?

26. Adding Decimals Line up the decimal points before adding. Add like whole numbers, then place the decimal point. Example: 1.2 + 3.45 = 4.65. Try adding 0.75 and 1.25.

27. Subtracting Decimals Line up decimal points before subtracting. Subtract like whole numbers, then place the decimal point. Example: 5.6 - 2.3 = 3.3. Can you subtract 4.5 from 7.8?

28. Multiplying Decimals Multiply as if there are no decimal points. Count total decimal places in both numbers. Place the decimal point in the answer. Example: 0.3 x 0.2 = 0.06. Try multiplying 0.4 by 0.5.

29. Dividing Decimals Move the decimal point in the divisor to make it a whole number. Move the decimal in the dividend the same number of places. Divide as usual. Example: 0.6 ÷ 0.2 = 3. Practice dividing 1.2 by 0.4.

30. Rounding Decimals Look at the digit in the place you are rounding to. If it's 5 or more, round up. Example: Round 3.456 to the nearest hundredth: 3.46. Round 7.891 to the nearest tenth.

31. Estimating with Decimals Use rounding to estimate sums and differences. Helps in quick calculations. Example: Estimate 2.3 + 4.7 by rounding to nearest whole numbers. Why is estimating useful?

32. Decimal Patterns Patterns help predict decimal sequences. Example: 0.1, 0.2, 0.3, what comes next? Identify patterns in 0.05, 0.10, 0.15. How can patterns help in math?

33. Decimals in Fractions Decimals can be written as fractions. Example: 0.5 = 1/2. Convert 0.25 to a fraction. How do decimals and fractions relate?

34. Practice Problems Compare: 0.67 and 0.76. Order: 0.9, 0.89, 0.91. Add: 0.3 + 0.45. Subtract: 1.5 - 0.8. What strategies help you solve these problems?

35. Review and ReflectDecimal Games Review key concepts: comparing, ordering, operations. Reflect on what you've learned. What was the most challenging part? How can you use decimals in real life?Play games to practice decimals. Online games can make learning fun. Try a game that involves shopping with decimals. How do games help you learn?

36. Conclusion Decimals are a vital part of math. They help in everyday tasks like shopping and measuring. Keep practicing to master decimals. What will you do next to improve your decimal skills?

37. Question 1 Compare the decimals: 0.45 ___ 0.54 Fill in the blank with <, >, or = Explain your reasoning

38. Question 2 Order these amounts from least to greatest: $3.50, $3.05, $3.55, $3.15 Show your work

39. Question 3 True or False: 0.700 is greater than 0.7 Explain why

40. Question 4 Write 0.625 in words Identify the place value of each digit

41. Question 5 Compare: 0.308 ___ 0.38 Fill in the blank with <, >, or = Explain how you arrived at your answer

42. Question 6 Three runners finished a race with these times: Runner A: 10.45 seconds Runner B: 10.54 seconds Runner C: 10.45 seconds Who won the race? Who came in last?

43. Question 7 Order these decimals from greatest to least: 0.9, 0.09, 0.909, 0.99 Show your steps

44. Question 8 Place these numbers on a number line: 0.25, 0.3, 0.125, 0.5 Label each point clearly

45. Question 9 Fill in the blanks to make true statements: 0.7 < ___ < 0.8 0.45 > ___ > 0.44 Explain your choices

46. Question 10 You have measuring cups of 0.5 L, 0.25 L, and 0.75 L Order them from smallest to largest capacity How much more liquid does the largest hold compared to the smallest?

47. Answer Key 1. 0.45 < 0.54 (5 tenths > 4 tenths) 2. $3.05, $3.15, $3.50, $3.55 3. False (they are equal) 4. Six hundred twenty-five thousandths; 6=tenths, 2=hundredths, 5=thousandths 5. 0.308 < 0.38 (0.308 = 0.380, 8 hundredths < 38 hundredths) 6. Runners A and C tied for first, Runner B last 7. 0.99, 0.909, 0.9, 0.09 8. (Number line from 0 to 0.5: 0.125, 0.25, 0.3, 0.5) 9. Possible answers: 0.75, 0.445 (any numbers in range) 10. 0.25 L, 0.5 L, 0.75 L; Difference of 0.5 L