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Comprehensive test on division concepts studied during the past six weeks.
Questions and Answers
1.
The product of a given whole number and any other whole number is a
A.
Quotient
B.
Divisor
C.
Multiple
D.
Dividend
Correct Answer C. Multiple
Explanation When a whole number is multiplied by another whole number, the result is called the product. Therefore, the correct answer is "multiple" because it represents the outcome of multiplying two whole numbers together.
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2.
In division, the part that is left over after the division is completed is the
A.
Remainder
B.
Quotient
C.
Product
D.
Difference
Correct Answer A. Remainder
Explanation After performing a division operation, the remainder refers to the part that is left over or the amount that is not divisible by the divisor. It represents the remaining value that cannot be evenly divided by the divisor.
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3.
Operations that undo each other such as division and multiplication are called
A.
Multiplying operations
B.
Dividing operations
C.
Compatible operations
D.
Inverse operations
Correct Answer D. Inverse operations
Explanation Operations that undo each other, such as division and multiplication, are called inverse operations. Inverse operations are used to reverse the effect of a previous operation. For example, if we multiply a number by 5, we can use the inverse operation of division by 5 to undo the multiplication and return to the original number. Similarly, if we divide a number by 3, we can use the inverse operation of multiplication by 3 to reverse the division and obtain the original number.
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4.
The number to be divided is called the
A.
Divisor
B.
Dividend
C.
Product
D.
Difference
Correct Answer B. Dividend
Explanation The number to be divided is called the dividend. In a division operation, the dividend is the number that is being divided by another number called the divisor. The dividend represents the total quantity or value that is being divided into equal parts.
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5.
Numbers that are easy to compute with mentally are
A.
Compatible numbers
B.
Even numbers
C.
Odd numbers
D.
Prime numbers
Correct Answer A. Compatible numbers
Explanation Compatible numbers are numbers that are easy to work with mentally because they are close to the actual numbers and make calculations simpler. They are often used in estimation or rounding off calculations. This makes them a suitable answer for the given question.
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6.
The number that results from subtracting one number from another is the
A.
Sum
B.
Product
C.
Difference
D.
Multiple
Correct Answer C. Difference
Explanation The correct answer is "difference". The question is asking for the result of subtracting one number from another. This operation is known as subtraction, and the result is called the difference.
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7.
Process that determines which multiple of 10,100,1000 etc. a number is closest to is
A.
Difference
B.
Inverse operation
C.
Compatible number
D.
Rounding
Correct Answer D. Rounding
Explanation Rounding is the process that determines which multiple of 10, 100, 1000, etc. a number is closest to. It involves approximating a number to the nearest whole number or a specified decimal place. Rounding can be done by looking at the digit to the right of the desired place value and deciding whether to round up or down based on its value. For example, if the digit is 5 or greater, the number is rounded up; if it is less than 5, the number is rounded down. Rounding is commonly used in everyday situations when dealing with measurements, calculations, or estimations.
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8.
The number that is the result of multiplying two or more factors is the
A.
Difference
B.
Product
C.
Sum
D.
Quotient
Correct Answer B. Product
Explanation The correct answer is "product" because when you multiply two or more factors together, you get a product. In mathematics, the product is the result of multiplication.
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9.
The number that is the result of dividing ( the answer in division) is the
A.
Product
B.
Difference
C.
Quotient
D.
Estimate
Correct Answer C. Quotient
Explanation The term "quotient" refers to the result of a division operation. In this question, it is asking for the number that is the result of dividing. Therefore, the correct answer is "quotient."
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10.
The number used to divide another is the
A.
Dividend
B.
Quotient
C.
Sum
D.
Divisor
Correct Answer D. Divisor
Explanation The number used to divide another number is called the divisor. The divisor is the number by which the dividend is divided to obtain the quotient. In a division problem, the divisor represents the number of equal parts that the dividend is being divided into.
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11.
456 divided by 8 =
Correct Answer 57
12.
2435 divided by 5 =
Correct Answer 487
13.
299 divided by 13
Correct Answer 23
Explanation The correct answer is 23 because when you divide 299 by 13, you get 23 as the quotient.
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14.
1960 divided by 35 =
Correct Answer 56
Explanation The given equation states that 1960 divided by 35 equals 56. This means that if you divide 1960 by 35, the result will be 56.
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15.
If a coach has 60 players to transport to a game and each van can hold 8 players, how many vans does he need?
A.
7 vans
B.
7 remainder 4
C.
8 vans
D.
9 vans
Correct Answer C. 8 vans
Explanation To transport 60 players, the coach needs to divide them into groups of 8 players per van. Since each van can hold 8 players, the coach needs to divide 60 by 8 to find the number of vans needed. The result is 7 with a remainder of 4. However, since the remainder cannot be transported in a separate van, the coach needs to round up the result to the next whole number. Therefore, the coach needs 8 vans to transport all 60 players.
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16.
If a student is giving away his 68 baseball cards and wants to share them as equally as possible with his 9 friends, how many will friend each get?
A.
8 cards
B.
7 cards
C.
6 cards
D.
5 cards
Correct Answer B. 7 cards
Explanation If a student is giving away his 68 baseball cards and wants to share them as equally as possible with his 9 friends, the student can give each friend 7 cards. This is because 68 divided by 9 equals 7 with a remainder of 5. Since the student wants to share the cards as equally as possible, each friend will receive the same amount of cards, which is 7.
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17.
If Jessie has 215 stamps to put in an album where each page can hold 16 stamps, how pages will he need and how many stamps will be on the last page?
A.
He'll need 14 pages, the last page will have 7 stamps.
B.
He'll need 13 pages, the last page will have13 stamps
C.
He'll need 13 pages, the last page will have 7 stamps
D.
He'll need 14 pages, the last page will have 13 stamps
Correct Answer A. He'll need 14 pages, the last page will have 7 stamps.
Explanation Since each page can hold 16 stamps and Jessie has 215 stamps, he will need a total of 215/16 = 13.4375 pages. Since we cannot have a fraction of a page, we round up to the nearest whole number, which is 14. Therefore, Jessie will need 14 pages. The remaining stamps after filling up the first 13 pages will be 215 - (13 * 16) = 7. So, the last page will have 7 stamps.
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18.
What is 640,000 divided by 8,000?
Correct Answer 80
Explanation To find the answer, we divide 640,000 by 8,000. Since both numbers are divisible by 1,000, we can simplify the calculation by dividing 640 by 8, which equals 80. Therefore, the answer is 80.
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19.
What is 51,000,000 divided by 170,000 ?
Correct Answer 300
Explanation The correct answer is obtained by dividing 51,000,000 by 170,000. When you divide 51,000,000 by 170,000, you get 300.
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20.
There are 832 cards placed in boxes so that each box has 52 cards. How many cards are in each box?
A.
160
B.
18
C.
16
D.
17
Correct Answer C. 16
21.
Lonestar Camp has 193 campers signed up for this week . If each cabin can hold 12 campers, what is the least number of cabins needed?
A.
16
B.
17
C.
15
D.
18
Correct Answer B. 17
Explanation To find the least number of cabins needed, we divide the total number of campers (193) by the capacity of each cabin (12). This gives us 16 cabins with 12 campers each, leaving 1 camper without a cabin. Therefore, the least number of cabins needed is 17.
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22.
If there are 617 boys signed up to play soccer in Jacksonville and there are 29 coaches about how many boys will be on each team?
A.
200
B.
30
C.
20
D.
21 remainder 8
Correct Answer C. 20
Explanation If there are 617 boys signed up to play soccer in Jacksonville and there are 29 coaches, we can divide the total number of boys by the number of coaches to determine how many boys will be on each team. Dividing 617 by 29 gives us approximately 21 boys per team. However, since there is a remainder of 8, each team will have 21 boys and there will be an additional team with 8 boys. Therefore, the correct answer is 20 boys on each team.
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23.
You can estimate that 67,421 divided by 33 will have a quotient that
A.
Is a five digit number beginning with 2
B.
Is a four digit number beginning with a 2
C.
Is a four digit number beginning with a 3
Correct Answer B. Is a four digit number beginning with a 2
Explanation When dividing 67,421 by 33, we can estimate the quotient by dividing the first digit of the dividend (6) by the divisor (3), which gives us 2. Since the quotient is estimated to be a four-digit number, it must begin with a 2. Therefore, the correct answer is that the quotient is a four-digit number beginning with a 2.
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24.
You can estimate that 7864 divided by 24 is
A.
A 3 digit number beginning with a 3
B.
A 2 digit number beginning with a 3
C.
A 3 digit number beginning with a 4
Correct Answer A. A 3 digit number beginning with a 3
Explanation When dividing a number by another number, the quotient is the result of the division. In this case, we are dividing 7864 by 24. To estimate the quotient, we can round the dividend (7864) down to the nearest multiple of the divisor (24), which is 7848. Then, we divide 7848 by 24, which equals 327. Therefore, the quotient is a 3-digit number beginning with a 3.
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25.
In a division problem you can prove your quotient is correct by using the inverse operation of multiplication.
A.
True
B.
False
Correct Answer A. True
Explanation The statement is true because in division, the quotient is obtained by multiplying the divisor with the quotient. So, to prove that the quotient is correct, we can use the inverse operation of multiplication, which is division, to divide the product by the divisor and check if it equals the quotient. This method validates the correctness of the quotient obtained in the division problem.
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