Hangman Division Partial Quotient Easy step by step
Hangman Division (Partial Quotient) • Easy step by step directions to help with long division…. .
Discuss benchmark numbers… X 100 8 177 Start by setting up the problem like this. It looks just like the traditional long division method, except for the long line that is drawn to the right of the divisor.
8 Write on the side 8 x 1=8 8 x 10 = 80 8 x 100 = 800 177 10 Ask - How many [8 s] are in 177? There at least 10, so that will be the first partial quotient. .
Multiply 10 * 8 8 177 80 8 x 1=8 8 x 10 = 80 8 x 100 = 800 10
Subtract 177 minus 80. 8 177 80 97 8 x 1=8 8 x 10 = 80 8 x 100 = 800 10
8 177 80 97 8 x 1=8 8 x 10 = 80 8 x 100 = 800 10 10 Start the process over again. Ask how many [8 s] are in 97? Again, there at least 10.
Multiply 10 * 8. 8 177 80 97 80 8 x 1=8 8 x 10 = 80 8 x 100 = 800 10 10
Subtract 97 minus 80. 8 177 80 97 80 8 x 1=8 8 x 10 = 80 8 x 100 = 800 17 10 10
8 177 80 97 80 8 x 1=8 8 x 10 = 80 8 x 100 = 800 17 10 10 2 Start the process again. Ask - how many [8 s] are in 17. There at least 2.
Multiply 2 * 8. 8 x 1=8 8 x 10 = 80 8 x 100 = 800 8 177 80 97 80 17 16 10 10 2
8 x 1=8 8 x 10 = 80 8 x 100 = 800 8 177 80 97 80 - 17 16 1 10 10 2 Subtract 17 minus 16.
8 x 1=8 8 x 10 = 80 8 x 100 = 800 8 177 80 97 80 - 17 16 1 10 10 2 22 Since the 1 is less than 8, you are finished. Now add up the partial quotients - 10 plus 2.
22 R 1 8 x 1=8 8 x 10 = 80 8 x 100 = 800 8 177 80 97 80 - 17 16 1 10 10 2 22 Write the answer above with the remainder. You are finished.
Let’s try another one…. . 843 ÷ 4 Set up the problem
4 Write on the side 4 x 1=4 4 x 10 = 40 4 x 100 = 400 843 Ask - How many [4 s] are in 843? There at least 100, so that will be the first partial quotient. .
4 4 x 1=4 4 x 10 = 40 4 x 100 = 400 843 - 400 443 100
4 4 x 1=4 4 x 10 = 40 4 x 100 = 400 843 - 400 100 43 Start the process over again. Ask how many [4 s] are in 443? There at least 100 more.
4 4 x 1=4 4 x 10 = 40 4 x 100 = 400 843 - 400 100 43 - 40 10 3 Start the process over again. Ask how many [4 s] are in 43? There at least 10 more.
210 r 3 4 4 x 1=4 4 x 10 = 40 4 x 100 = 400 843 - 400 100 43 - 40 10 3 Since the 3 is less than 4, you are finished. Now add up the partial quotients - 100 + 10 = 210.
Hangman Division (Partial Quotient)
- Slides: 20