Whole numbers division (vocabulary)

Label the Four Parts of a Division Problem

2 pts

Drag the correct term into each placeholder to label the parts of the result below:

832 is (1) 23 is (2) 36 is (3) 4 is (4)

Please drag and drop the selected option in the right place or type it instead

dividend

divisor

quotient

remainder

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Explanation

Match Each Divisor to Its Divisibility Test

3 pts

Match each divisor to the correct rule for testing divisibility.

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Click on an item in the first group
Click on the match in the second group

To delete a match, double click on a line

Divisor

2

3

4

5

6

9

10

Rule

Last digit is 0

Sum of digits divisible by 3, AND last digit is even

Last two digits form a number divisible by 4

Sum of digits is divisible by 9

Last digit is 0 or 5

Last digit is even (0, 2, 4, 6, or 8)

Sum of digits is divisible by 3

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Explanation

Match Each Division Property to Its Rule

2 pts

Match each property situation to the correct rule.

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Click on an item in the first group
Click on the match in the second group

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Situation

Any whole number ÷ 1

Any nonzero number ÷ itself

0 ÷ any nonzero number

Any nonzero number ÷ 0

Rule

= 0

= 1

Undefined

= that number

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Explanation

Sort the Four Steps of Long Division

2 pts

Please drag and drop the options to sort them

Drag the four steps of the long division algorithm into the correct order — Step 1 first.

Subtract the product from the partial dividend.

Estimate how many times the divisor goes into the partial dividend.

Bring down the next digit of the dividend.

Multiply the estimate by the divisor.

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Explanation

Sort the Three Notation Forms of Division

1 pts

Please drag and drop the options to sort them

The same division can be written three ways. Drag them from the most common form first to the least common.

Fraction bar: \(\dfrac{12}{4} = 3\)

Division symbol: \(12 \div 4 = 3\)

Long division bracket: \(4\overline{)12}\)

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Explanation

Complete Both Division Check Formulas

2 pts

Complete the two check formulas:

Exact division (no remainder):
Quotient × (1) = (2)

Division with remainder:
(Quotient × (3)) + (4) = Dividend

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Divisor

Dividend

Divisor

Remainder

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Explanation

Classify Each Vocabulary Term by Category

2 pts

Drag each term into the correct category.

drag and drop the selected option to the right place

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Explanation

True Statements About the Remainder

2 pts

volume_mute

Select all statements about the remainder that are true.

The remainder must always be less than the divisor.

A remainder of 0 means the division is exact.

The remainder can be any whole number.

The remainder is found by subtracting the last product from the last partial dividend.

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Explanation

Definition of Divisible

1 pts

volume_mute

Which statement best defines the term divisible?

A number that can be divided by any other number.

A division that results in a remainder of 0.

A division that results in a quotient greater than 1.

A number whose digits sum to an even number.

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Explanation

Definition of Inverse Operations

1 pts

volume_mute

Multiplication and division are called inverse operations. Which statement best describes what this means?

They always give the same result when applied to the same numbers.

Each operation undoes the effect of the other.

They can only be performed in a specific order.

They both require the same number of steps to complete.

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Explanation

The Related Multiplication Rule

1 pts

volume_mute

What is the general rule for writing the related multiplication statement for any division?

\(\text{divisor} \times \text{dividend} = \text{quotient}\)

\(\text{quotient} \times \text{divisor} = \text{dividend}\)

\(\text{quotient} \times \text{dividend} = \text{divisor}\)

\(\text{dividend} \times \text{quotient} = \text{divisor}\)

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Explanation

The Trailing-Zeros Shortcut Rule

1 pts

volume_mute

When both the dividend and divisor end in zeros, what is the trailing-zeros shortcut?

Add the zeros together and attach them to the quotient.

Remove the same number of trailing zeros from both the dividend and divisor before dividing.

Remove all zeros from the dividend only, then divide.

Multiply both numbers by 10 before dividing.

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Correct Answer

Explanation

Which Division Properties Are Always True?

2 pts

volume_mute

Select all statements that are always true.

\(n \div 1 = n\) for any whole number \(n\)

\(n \div n = 1\) for any nonzero whole number \(n\)

\(0 \div n = n\) for any nonzero whole number \(n\)

\(n \div 0\) is undefined for any nonzero \(n\)

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Explanation

Name the Division Algorithm

1 pts

The step-by-step process of dividing large whole numbers — using a four-step cycle of estimate, multiply, subtract, and bring down — is called ______ division.

Have fun and play hangman game to guess the word

Use the alphabet below to guess the word, then enter it in the input field

You have lives

Enter your answer

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Explanation

Read the passage and click on three key vocabulary words — the terms for the number being divided, the number doing the dividing, and the answer

2 pts

Click or touch the word(s) you want to choose

volume_mute

When we divide one whole number by another, the number being divided is called the dividend. The number that we divide by is called the divisor. The result we get after dividing is called the quotient. If the division is not exact, the amount left over is the remainder.

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Label the Four Parts of a Division Problem

Correct Answer

Explanation

Match Each Divisor to Its Divisibility Test

Divisor

Rule

Correct Answer

Explanation

Match Each Division Property to Its Rule

Situation

Rule

Correct Answer

Explanation

Sort the Four Steps of Long Division

Correct Answer

Explanation

Sort the Three Notation Forms of Division

Correct Answer

Explanation

Complete Both Division Check Formulas

Correct Answer

Explanation

Classify Each Vocabulary Term by Category

drag and drop the selected option to the right place

Correct Answer

Explanation

True Statements About the Remainder

Correct Answer

Explanation

Definition of Divisible

Correct Answer

Explanation

Definition of Inverse Operations

Correct Answer

Explanation

The Related Multiplication Rule

Correct Answer

Explanation

The Trailing-Zeros Shortcut Rule

Correct Answer

Explanation

Which Division Properties Are Always True?

Correct Answer

Explanation

Name the Division Algorithm

Correct Answer

Explanation

Read the passage and click on three key vocabulary words — the terms for the number being divided, the number doing the dividing, and the answer

Correct Answer

Explanation

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