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Exploring Decimal Division Concepts in Math Class

Students will practice dividing multi-digit numbers with decimals and explore the impact of multiplying divisors and dividends by powers of 10. Through guided exercises, they will learn to convert decimal divisions to whole number divisions. The lesson aims to strengthen skills in dividing multi-digit decimals.

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Exploring Decimal Division Concepts in Math Class

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  1. December 10, 2014 Day B Exploratory Math English LUNCH Science locker Social Studies Exploratory Day B

  2. ACTIVATOR(December 10, 2014) : • Take out your H.W& notebook. • In notebook, answer this: • Divide 125.01 ÷ 5.4. Then, check your answer for reasonableness.

  3. December 10, 2014 Day B SWBAT use their knowledge of dividing multi-digit numbers to solve for quotients of multi-digit decimals. We will show what we know when we successfully complete our ticket to go. 6.NS.B.2 and 6.NS.B.3

  4. Start by finding the quotient of 1,728 and 32. Opening Exercise (pg. 60) What would happen if we multiplied the divisor by 10? 1,728 ÷ 320.

  5. What would happen if we multiplied the dividend by 10? 17,280 ÷ 32

  6. What would happen if we multiplied both the divisor and the dividend by 10? 17,280 ÷ 320.

  7. What would happen if we multiplied both the divisor and the dividend by 100? 172,800 ÷ 3,200.

  8. How can we use this to help us divide when there are decimals in the divisor? • 172.8 is the same as 1,728 tenths, and 3.2 is the ame as 32 tenths. So, to get the quotient, we could divide 1,728 by 32. If we multiply both the divisor and the dividend by 10, we get the same two numbers that we need to divide, 1,728 and 32. Because we multiplied both numbers by the same amount, then answer will not change.

  9. Example 1 (pg. 62) Using our discoveries from the discussion, lets divide 537.1 and 8.2. How can we rewrite this problem using what we learned in lesson 14. We can rewrite this problem as 5,371 tenths ÷ 82 tenths. These two numbers already have the same unit, so we would divide 5,371 by 82.

  10. How could we use the short cut from our discussion to change the original numbers to 5,371 and 82? We can multiply both numbers by 10, which changes the divisor from 8.2 to 82. Then, we will have a whole number to divide by. So the new problem will become 5,371 ÷ 82.

  11. Example 2 (pg. 62) Now let’s divide 742.66 by 14.2. How can we rewrite this division problem so that the divisor is a whole number, but the quotient remains the same? We can multiply both numbers by 10, which changes the divisor from 14.2 to 142. Then, we will have a whole number to divide by. So the new problem will become 7,426.6 ÷ 142.

  12. December 10, 2014 Day B How Do You Feel? topic.

  13. Students will work by groups to complete the exercises on page 62.

  14. December 10, 2014 Day B Ticket-to-Go • State the power of 10 you would use to convert the given decimal division to whole number division. Then complete the multiplication on the dividend and the divisor. • 12.4 ÷ 1.036

  15. December 10, 2014 Day B Problem Set: Page 63

  16. December 10, 2014 Day B • Accommodations • Read or reread presentation or activity • directions, as needed or after prompting • Use examples to model and act as a guide • for emerging learners

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