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Unit 1: Place Value REVIEW

Unit 1: Place Value REVIEW. I can read and write decimals to the thousandths. I can explain how t he location of each digit helps me determine the value of the number. Standard Form: 6,584,791.032.

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Unit 1: Place Value REVIEW

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  1. Unit 1: Place ValueREVIEW

  2. I can read and write decimals tothe thousandths. I can explain howthe location ofeach digit helps me determine the value of the number. Standard Form: 6,584,791.032 Word Form: six million, five hundred eighty four thousand, seven hundred ninety one and three hundred twenty four ten thousandths. Expended Form: 6,000,000 + 500,000 + 80,000 + 4,000 + 700 + 90 + 1 + (3 x 1/100) + (2 x 1/1000) + (4 x 1/10,000) 5.NBT.3(a) Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

  3. Let’s Review • What is the value of each digit above? • How would you read the number above? • What is the place value of the 4 in 523,495.562?

  4. You Practice! 1,450.09 What is the place value of the 5? What is the place value of the 9? Write the number in word form.

  5. Discussion Dominic wrote one hundred seventy two and fourteen thousandths like this. 172.14 Is he correct? Why or why not?

  6. I can explain patterns in the number of zeros when multiplying a number by powers of 10. I can also explain the placement of the decimal point when a decimal is multiplied or divided by a power of 10. • 0.62 ÷ 1 = 0.62 • 0.62 ÷ 10 = 0.062 • 0.62 ÷ 10 = 0.0062 • 0.62 x 1 = 0.62 • 0.62 x 10 = 6.2 • 0.62 x 100 = 62 • Dividing •  4 x 1 = 4 4 x 101= 40 4 x 102= 400 4 x 103= 4000 • Patterns of Zeros • Multiplying •  5.NBT.2 Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

  7. Let’s Review • Multiplication vs division • 1.03 x 103 1.03 ÷ 103 • How many times greater is .4 than .004? • Write 10,000 using exponents

  8. You Practice! • .35 ÷ 102 2) .4 x 103 • 3) During the Chargers training camp, their 10m dash times were recorded. The players’ times are charted below. The next day, the head coach noticed that the computer must’ve had a glitch and all of their scores changed! Compare the scores of the players to their original scores and explain what happened to the values of the numbers.

  9. Discussion There are two 3's in the number 2,033,541. Kaylyne says that the 3 on the left is 10 times the value of the 3 on the right. Valentina says the 3 on the right is 1/10 the value of the 3 on the left. Who is correct? Explain your thinking.

  10. I can write numbers with decimals in expanded form. • 347.392 • (3 x 102) + (4 x 101) + (7 x 1) + (3 x 1/10) + (9 x 1/100) + • (2 x 1/1000) 5.NBT.3a Read and write decimals to the thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 x 100 + 4 x 10 + 7 x 1 + 3 x (1/10) + 9 x (1/100) + 2 x (1/1000).

  11. Let’s Review • EXPANDED FORM • Write .562 in expanded form • Write 103.06 in expanded form

  12. You Practice! 1,450.09 Write the number in expanded form. Write .063 in expanded form.

  13. Discussion Ian said that (5 x 1/10) + (7 x 1/1000) = .57 Is he correct? Explain why or why not.

  14. I can compare and orderdecimals based on the meanings of the digits in each place. • Order • Least to greatest • 2.011 ; 2.08 ; 2.1 • Compare • Using <,>,or = • 2.08 2.1 < 5.NBT.3b Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

  15. Let’s Review • Line up the place values! • What’s greater? 5.08 or 5.2 • Order from least to greatest: • 2.25; 2.256; 2.205; 2.2; 2.21 • Explain strategy using place value vocabulary!!!

  16. You Practice! Compare using <, >, or = .455 .059 2. Order 4.5 ; 4.505 ; 4.51 ; 4.55 ; 4.515 in order from least to greatest. Be prepared to explain the strategy you used using place value vocabulary.

  17. Discussion • Daniella said that 0.129 is greater than 0.56 because 129 is greater than 56. Is Daniella correct? Explain your thinking.

  18. I can use my understanding of place value to round toany place. 7.69 Rounded to the nearest tenth 7.7 Rounded to the nearest whole number 8 5.NBT.4 Use place value understanding to round decimals to any place.

  19. Let’s Review Circle the number Go next door 4 or less, just ignore 5 or more, add one more Round 5.67 to the nearest whole number Round .358 to the nearest tenth.

  20. You Practice! Round 9.85 to the nearest whole number Round .414 to the nearest tenth.

  21. Discussion • Explain how the order of the players times would change in the coach rounded their times to the nearest tenth?

  22. I can convertamong different-sized measurement units within the metric system and use these conversions to solve real world problems. 3m = 30dm 3m = 300cm 3m = 3000mm 50,000mm = 5,000cm 50,000mm = 500dm 50,000mm = 50m 5.MD.1 Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.

  23. Let’s Review Sebastian’s shoe is 0.25m long. How many centimeters would that be? Axel kicked the ball 230,000mm. How many meters would that be?

  24. You Practice! How many deciliters are in 12 liters? If a quarter weighs 5,670mg, how many grams would that be?

  25. Discussion • Alexa and Carolina bought some candy from the Candy Factory. Alexa’s candy weighed 3,400cg and Carolina’s candy weighed 30,000mg. Whose bag of candy weighed more?

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