The Division Algorithm: Converting Decimal Division into Whole Number Division Using Mental Math

Videos and solutions to help Grade 6 students learn how to divide multi-digit numbers to solve for quotients of multi-digit decimals.

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Lesson Plans and Worksheets for Grade 6
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Common Core For Grade 6

New York State Common Core Math Grade 6, Module 2,Lesson 15

Worksheets for Grade 6

Lesson 15 Student Outcomes

• Students use their knowledge of dividing multi-digit numbers to solve for quotients of multi-digit decimals.
• Students understand the mathematical concept of decimal placement in the divisor and the dividend and its connection to multiplying by powers of 10.

Lesson 15 Opening Exercise

Start by finding the quotient of 1,728 and 32.
What would happen if we multiplied the divisor by 10?
What would happen if we multiplied the dividend by 10?
What would happen if we multiplied both the divisor and dividend by 10? Problem Set
Use mental math, estimation, and the division algorithm to evaluate the expressions.
1. 118.4 ÷ 6.4
2. 314.944 ÷ 3.7
3. 1,840.5072 ÷ 23.56
4. 325 ÷ 2.5
5. 196 ÷ 3.5
6. 405 ÷ 4.5
7. 3,437.5 ÷ 5.5
8. 393.75 ÷ 5.25
9. 2,625 ÷ 6.25
10. 231 ÷ 8.25
11. 92 ÷ 5.75
12. 196 ÷ 12.25
13. 117 ÷ 6.5
14. 936 ÷ 9.75
15. 305 ÷ 12.2

Place the decimal point in the correct place to make the number sentence true.
16. 83.375 ÷ 2.3 = 3,625
17. 183.575 ÷ 5,245 = 3.5
18. 326,025 ÷ 9.45 = 3.45
19. 449.5 ÷ 725 = 6.2
20. 446,642 ÷ 85.4 = 52.3

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