Partial Quotients
Use partial quotients to solve 128 divided by 2
64
Nathan read the same number of books each year for 7 years. In total, he read 252 books. How many books did he read each year?
36
Estimate the quotient:
314 divided by 6=
300 divided by 6 = 50
____ x 700 = 4,900
7
Use partial quotients to solve 4,538 divided by 2
2,269
Jack has collected 448 cards. He wants to put 7 cards on each page. How many pages will Jack need?
64
Estimate the quotient:
1,877 divided by 4 =
2,000 divided by 4 = 500
826 x ___ = 2,478
3
Ben said that the partial quotients of 727 divided by 5 are 100, 40, and 7. Explain Ben's mistake and find the correct solution.
Ben's mistake is that he added the remainder to his quotient. The correct answer is 145 R 2.
A fence around the school field is 1,666 feet long. Seven teams of students will paint the fence. Each team will paint an equal length of the fence. What length of the fence will each team paint?
238 feet
Is this estimate reasonable or unreasonable?
2,144 divided by 7 is about 300
Reasonable. 2,144 is about 2,100.
4,950 x 8 =
39,600
Noah did 2,458 divided by 5 and used 400, 90, and 1 as his partial quotients. Solve this problem using different partial quotients.
Answers may vary
Seacrest used 2,075 pieces of paper after 5 months. How many pieces of paper did they use each month?
415
What is the best estimate for 3,350 divided by 8?
a. 600
b. 200
c. 400
d. 800
400
14799 x 8=
118,392
Find partial quotients for 9,999 divided by 9. Then find the solution.
1,111
Ms. Emerton is making scarfs with pieces of fabric. One piece of fabric is 28 yards long and the other piece of fabric is 4 yards long. Each scarf requires 3 yards of fabric. How many scarfs can Ms. Emerton make?
10 scarves with 2 yards of fabric leftover.
Noah's assignment was to estimate to find the quotient. He wrote 4,200 divided by 6= 700 as his estimate. Write an equation that he could have been given.
Answers may vary
184,322 x 4 =
737,288