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Master Division with Rectangular Arrays: Understanding 1,590 ÷ 15 and More!

In this lesson, you'll learn how to effectively divide numbers using rectangular arrays. Discover the relationship between multiplication and division as inverse operations, illustrated with practical examples. We'll tackle challenging problems by breaking them into smaller parts and employ smart rounding techniques to simplify calculations. Explore the division of 1,590 by 15, and reinforce your understanding with exercises involving other numbers, like 1,138 pencils distributed among 11 students. Engage with real-life scenarios to deepen your comprehension of division.

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Master Division with Rectangular Arrays: Understanding 1,590 ÷ 15 and More!

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  1. How would you divide 1,590 ÷ 15?

  2. In this lesson you will learn how to divide by using a rectangular array.

  3. Multiplication and division are inverse operations. 45 ÷ 9 = n n x 9 = 45 9 x n = 45

  4. Challenging problems can be broken into smaller parts Then I can multiply 26 x 10 and get 260 20 x 13 I know that 20 is 2 times 10 20 = 2 x 10 I can multiply 13 x 2 and get 26 13 x 2 = 26 26 x 10 = 260 20 x 13 = 260

  5. A rectangular array can be used to show division. 24 ÷6 = 4

  6. 1,590 ÷ 15 1,500 divides easily by 15 Smart rounding ≈ 1,500 ÷ 15 Smart estimate ≈ 100

  7. 1,590 ÷ 15 15 1,590 This makes sense since our smart estimate was 100 100 x 15 = 1,500 -1,500 10 x 15= 150 100 x 15= 1,500 90 100 - 30 15 x 2 = 30 60 2 x 15= 30 2 15 x 2 = 30 - 30 2 -(20 x 13) =260 30 2 0 15 x 2 = 30 - 30 x 15 = 1,590 0 106 1,590 ÷ 15 = 106

  8. There are 1,138 pencils for 11 students. How many pencils does each student get? Smart rounding ≈ 1,100 ÷ 11 1,100 divides easily by 11 Smart estimate ≈100

  9. 1,138 ÷ 11 11 1,138 This makes sense since our smart estimate was 100 100 x 11 = 1,100 - 1,100 100 x 11= 1,100 38 100 1 x 11 = 11 - 11 10 x 11 = 110 is too big 27 1 x 11 = 11 1 1 1 1 x 11 = 11 - 11 16 1 x 11 = 11 - 11 5 103 x 11= 1,133 + 5 = 1,138 1,138 ÷ 11 = 103 with 5 left

  10. In this lesson you have learned how to divideby using a rectangular array.

  11. What is 1,590 ÷ 15?

  12. Use a rectangular array to show the division of 845÷ 12. Make a chart to show your work. • Susan has 1,115 cups to put in 25 boxes. She estimated that she would put 40 cups in each box. Using a rectangular array, show whether or not this is a good estimate.

  13. Use a rectangular array to find the answer to these problems: 1,025 ÷ 12? C. 80 with 4 left B. 85 A. 85 with 5 left Rita needs to store 1,315 seeds. Only 25 fit in each box. How many boxes she will need? C. 52 B. 52 with 15 left A. 52 with 6 left

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