DIVISION - P
Name: ____________________________ Date: ____________ Grade: _____
DIVISION
Please answer on a separate sheet of paper. You may not use a calculator and you must show all your work to get credit.
1) Define division in your own words. You can also use an illustration.
2) Prove that division is the inverse (opposite) of multiplication.
3) It is often helpful to estimate an answer before carrying out the actual operation.
In division, it is most helpful to use compatible numbers such as
37 ÷ 1,654 becomes 40 ÷ 1600
Based on this example, what are compatible numbers?
4) Using compatible numbers, find the estimated answer to each of these
problems.
a) 23,143 ÷ 12 b) 2,552 ÷ 6
c) 53,350 ÷ 23 d) 26,720 ÷ 72
5) Suppose you had to do the problem 450 ÷ 30. How could you
change this problem so that it becomes a mental math problem?
6) When doing division with a one digit divisor, it is best to use short division.
Solve the following problems using short division. You may have remainders.
a) 552 ÷ 4 b) 67,663 ÷ 6
c) 3,376 ÷ 8 d) 49,307 ÷ 7
7) When doing division with two digit divisors, it is best to first find the
estimated answer using either compatible numbers or rounding and then
do the actual problem. The estimated answer gives you both a clue as
to where to begin to solve the problem and a reference to check your final
answer against. You may use either remainders or decimals.
a) 848 ÷ 53 b) 3145 ÷ 74
c) 3,156 ÷ 32 d) 8,943 ÷ 12
8) Sarah was in a hurry to do her math. She divided 3,048 by 6 and
got an answer of 58? She knew her answer didn’t make sense, but she
could not figure out where she went wrong. Please help her.
9) Answer the following word problems. If the problems involves money there
is usually a decimal remainder. If it does not, you need to decided whether the
remainder is important or not and how whether it should be represented as
a whole number or a decimal (part of a number).
a) CA decided that the students were all working too hard and that they
needed a nice trip on the Bosporus. If there are 423 students and
teachers in the school and each bus has a maximum capacity of 22,
how many buses does the school need to reserve?
b) The sixth grade raised a total of $175. If all 28 students raised the
same amount, how much did each student raise?
c) I have 12 meters of beautiful and valuable silk. I would like to make
scarves out of it for my 5 nieces. How long can each scarf be?
d) If there are l75 M & Ms in a bag and there are 4 friends, how many
M & Ms does each friend get?
e) I was trying to keep track of the mileage on my new car. I was able
to drive l24 kilometers on 8 liters of gas. How many kilometers was
I able to driver per liter?
10) Write and solve a story problem for 345 divided by 9 in which the remainder is not
important.
11) Write and solve a story problem for 345 divided by 9 in which the remainder is
important.
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