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Partial Quotients Method of dividing

Partial Quotients Method of dividing. Problem: There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria?. Underline the sentence that tells what you are trying to find. Circle the numbers you need to use.

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Partial Quotients Method of dividing

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  1. Partial Quotients Method of dividing

  2. Problem: There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria?

  3. Underline the sentence that tells what you are trying to find. • Circle the numbers you need to use. • What operation will you use?

  4. UNDERLINE THE SENTENCE THAT TELLS WHAT YOU ARE TRYING TO FIND. Problem: There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria?

  5. Circle the numbers you need to use Problem: There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria?

  6. What operation will you use? DIVISION Division is used to find the number of groups or the number in each group.

  7. What operation will you use? In this problem, 128 is the whole (ALL of the students) 4 is the number in each group. So, we divide 128 by 4 to find the number of groups. There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria? 128 ÷ 4 =

  8. Use Partial Quotients to Solve Step 1 • Start by subtracting a greater multiple, such as 10 times the divisor. 10 x 4 = 40 So, subtract 40 from 128 4 128 divisor

  9. Continue subtracting until the remaining number is less than the multiple 4 • 128 - 40 ------------ 88 - 40 ------------ 48 - 40 ------------ 8 Less than 40

  10. Step 2 Subtract smaller multiples, such as 5, 2, or 1 times the divisor until the remaining number is less than the divisor.

  11. Continue subtracting until the remaining number is less than the multiple 4 • 128 - 40 ------------ 88 - 40 ------------ 48 - 40 ------------ 8 - 8 2 x 4 = 8 ------------ 0

  12. Then add the partial quotients to find the quotient. 4 • 128 - 40 10 10 x 4 ------------ 88 - 40 10 10 x 4 ------------ 48 - 40 10 x 4 10 ------------ 8 - 8 2 x 4 + 2 ------------ 0 ---------- 32

  13. 128 ÷ 4 = Problem: There are 4 students at each table in the cafeteria. If there are 128 students sitting at the tables, how many tables are in the cafeteria? There are 32 tables in the cafeteria

  14. Practice 6 186 - 60 126 - 60 66 - 60 6 - 6 0

  15. Practice • 186 31 10 x 6 10 - 60 126 10 x 6 10 - 60 66 10 x 6 10 - 60 6 1 x 6 + 1 - 6 0

  16. Answer 31 6 186

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