Decimal Long Division Methods Quiz

1. When dividing 45.6 ÷ 12, where should the decimal point be placed in the quotient?

After the first digit

After the second digit

Before all digits

At the end only

To divide 45.6 by 12, first treat 45.6 as 456. Then, perform the division: 456 ÷ 12 = 38. Since 45.6 has one decimal place, the quotient should have one decimal place as well, resulting in 3.8. Therefore, the decimal point is placed after the second digit.

Explanation

To divide 45.6 by 12, first treat 45.6 as 456. Then, perform the division: 456 ÷ 12 = 38. Since 45.6 has one decimal place, the quotient should have one decimal place as well, resulting in 3.8. Therefore, the decimal point is placed after the second digit.

2. What is 36.4 ÷ 4?

8.1

9.1

7.1

10.1

To solve 36.4 ÷ 4, you can simplify the division by breaking it down. Dividing 36.4 by 4 gives you 9.1, as 4 goes into 36 a total of 9 times (36) with a remainder that contributes to the decimal, leading to the final result of 9.1.

Explanation

To solve 36.4 ÷ 4, you can simplify the division by breaking it down. Dividing 36.4 by 4 gives you 9.1, as 4 goes into 36 a total of 9 times (36) with a remainder that contributes to the decimal, leading to the final result of 9.1.

3. To divide 84 ÷ 2.5, what should you do first?

Move the decimal in 2.5 one place right and in 84 one place right

Move the decimal in 2.5 two places left

Multiply both by 100

Subtract 0.5 from 84

To simplify the division of 84 by 2.5, adjusting the decimal places makes the calculation easier. By moving the decimal in 2.5 one place to the right, it becomes 25. Simultaneously, moving the decimal in 84 one place to the right turns it into 840. This transforms the problem into 840 ÷ 25, which is simpler to solve.

Explanation

To simplify the division of 84 by 2.5, adjusting the decimal places makes the calculation easier. By moving the decimal in 2.5 one place to the right, it becomes 25. Simultaneously, moving the decimal in 84 one place to the right turns it into 840. This transforms the problem into 840 ÷ 25, which is simpler to solve.

4. What is 72.8 ÷ 8?

8.6

9.1

9.6

8.9

To find the result of 72.8 ÷ 8, you divide 72.8 by 8. Performing the division, 72.8 divided by 8 equals 9.6, which is the correct answer. This calculation shows how many times 8 fits into 72.8, resulting in 9.6.

Explanation

To find the result of 72.8 ÷ 8, you divide 72.8 by 8. Performing the division, 72.8 divided by 8 equals 9.6, which is the correct answer. This calculation shows how many times 8 fits into 72.8, resulting in 9.6.

5. When you divide 56.25 ÷ 1.5, how many places should the decimal point move in the divisor?

One place

Two places

Three places

No movement needed

To divide 56.25 by 1.5, you can eliminate the decimal in the divisor (1.5) by moving the decimal point one place to the right, converting it to 15. To maintain the equation's balance, you also multiply the dividend (56.25) by 10, resulting in 562.5 divided by 15.

Explanation

To divide 56.25 by 1.5, you can eliminate the decimal in the divisor (1.5) by moving the decimal point one place to the right, converting it to 15. To maintain the equation's balance, you also multiply the dividend (56.25) by 10, resulting in 562.5 divided by 15.

6. Calculate 144 ÷ 1.2.

110

120

100

130

To calculate 144 ÷ 1.2, you can simplify the division by multiplying both numbers by 10, turning it into 1440 ÷ 12. Performing this calculation gives you 120. This method makes the division easier and avoids dealing with decimals directly.

Explanation

To calculate 144 ÷ 1.2, you can simplify the division by multiplying both numbers by 10, turning it into 1440 ÷ 12. Performing this calculation gives you 120. This method makes the division easier and avoids dealing with decimals directly.

7. In long division of 25.5 ÷ 5, the quotient is ____.

To find the quotient of 25.5 divided by 5, you can perform long division. Dividing 25 by 5 gives 5, and the remainder 0.5 divided by 5 equals 0.1. Combining these results, the final quotient is 5.1.

Explanation

To find the quotient of 25.5 divided by 5, you can perform long division. Dividing 25 by 5 gives 5, and the remainder 0.5 divided by 5 equals 0.1. Combining these results, the final quotient is 5.1.

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8. True or False: When dividing by a decimal, you must move the decimal point in both the dividend and divisor the same number of places.

True

False

When dividing by a decimal, it's necessary to move the decimal point in both the dividend and the divisor the same number of places to maintain the value of the division. This ensures that the operation remains equivalent, allowing for a straightforward calculation with whole numbers.

Explanation

When dividing by a decimal, it's necessary to move the decimal point in both the dividend and the divisor the same number of places to maintain the value of the division. This ensures that the operation remains equivalent, allowing for a straightforward calculation with whole numbers.

9. What is 99.2 ÷ 16?

6.2

6.7

5.8

7.1

To find the result of 99.2 ÷ 16, divide 99.2 by 16. Performing the division yields 6.2. This result indicates that 16 goes into 99.2 a total of 6.2 times, confirming the calculation aligns with basic division principles.

Explanation

To find the result of 99.2 ÷ 16, divide 99.2 by 16. Performing the division yields 6.2. This result indicates that 16 goes into 99.2 a total of 6.2 times, confirming the calculation aligns with basic division principles.

10. To divide 120 ÷ 0.8, you should move the decimal point ____ place(s) in the divisor.

To divide by a decimal, you can convert it into a whole number by moving the decimal point to the right. In this case, moving the decimal point in 0.8 one place to the right changes it to 8. This allows for easier division: 120 ÷ 8 instead of 120 ÷ 0.8.

Explanation

To divide by a decimal, you can convert it into a whole number by moving the decimal point to the right. In this case, moving the decimal point in 0.8 one place to the right changes it to 8. This allows for easier division: 120 ÷ 8 instead of 120 ÷ 0.8.

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11. When dividing 63.9 ÷ 3, the quotient is ____.

To find the quotient of 63.9 divided by 3, you can perform the division directly. When you calculate 63.9 ÷ 3, it equals 21.3. This result shows that 3 fits into 63.9 a total of 21.3 times, confirming that the division was performed correctly.

Explanation

To find the quotient of 63.9 divided by 3, you can perform the division directly. When you calculate 63.9 ÷ 3, it equals 21.3. This result shows that 3 fits into 63.9 a total of 21.3 times, confirming that the division was performed correctly.

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12. What is 88.4 ÷ 2.2?

40.2

40

39.3

41.5

To find the result of 88.4 divided by 2.2, you can simplify the calculation by multiplying both numbers by 10, resulting in 884 divided by 22. Performing the division gives you 40 as the quotient, which is the correct answer.

Explanation

To find the result of 88.4 divided by 2.2, you can simplify the calculation by multiplying both numbers by 10, resulting in 884 divided by 22. Performing the division gives you 40 as the quotient, which is the correct answer.