Divide two integers (definitions)

Vocabulary – Parts of a Division Problem

1 pts

volume_mute

In the division problem below, what is the quotient?

\[ 12 \div (-4) = -3 \]

12

-4

-3

4

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Label the Parts of a Division Problem

2 pts

Drag the correct term into each placeholder to label the parts of this division:

\(-20\) ÷ \(5\) = \(-4\)

(1) ÷ (2) = (3)

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Dividend

Divisor

Quotient

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Definition – Related Multiplication Statement

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volume_mute

Every division has a related multiplication statement. Which multiplication statement is related to:

\(\dfrac{-6}{3} = -2\)

\(-2 \times 3 = -6\)

\(-2 \times (-3) = -6\)

\(3 \times (-6) = -2\)

\(-6 \times (-2) = 3\)

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Definition – Division of Zero

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Complete the definition:

If 0 is divided by any nonzero integer, the quotient is (1).

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Definition – Division by Zero

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Complete the definition:

Division of any nonzero integer by 0 is (1).

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Division of 0 vs. Division by 0

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volume_mute

Which statement correctly distinguishes the two zero-division cases?

Both \(\frac{0}{-3}\) and \(\frac{-3}{0}\) are undefined.

\(\frac{0}{-3} = 0\) and \(\frac{-3}{0}\) is undefined.

\(\frac{0}{-3}\) is undefined and \(\frac{-3}{0} = 0\).

Both equal 0.

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Definition – Like Signs Rule

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volume_mute

The rule states: The quotient of two integers with the same (like) signs is positive.

Select all expressions that have a positive quotient based on this definition.

\(-36 \div (-9)\)

\(36 \div (-9)\)

\(-63 \div (-7)\)

\(-63 \div 7\)

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Definition – Unlike Signs Rule

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volume_mute

The rule states: The quotient of two integers with different (unlike) signs is negative.

Select all expressions that have a negative quotient based on this definition.

\(-14 \div 7\)

\(-14 \div (-7)\)

\(30 \div (-5)\)

\(-30 \div (-5)\)

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Select all the valid Division Sign Cases

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volume_mute

Negative ÷ Positive = Negative

Positive ÷ Positive = Positive

Positive ÷ Negative = Negative

Negative ÷ Negative = Positive

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Match Each Division Type to Its Sign

2 pts

Match each division type on the left to the correct sign of its quotient on the right.

Positive ÷ Positive = (1)
Negative ÷ Negative = (2)
Positive ÷ Negative = (3)
Negative ÷ Positive = (4)

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Positive

Negative

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Definition – Trailing Zeros Shortcut

1 pts

volume_mute

It is stated that: If a divisor has ending zeros, we can simplify the division by removing the same number of ending zeros from both the divisor and the dividend.

Apply this definition to simplify:

\(-2{,}400 \div 60\)

What is the equivalent, simplified division to perform?

\(-240 \div 6\)

\(-24 \div 6\)

\(-2{,}400 \div 6\)

\(-240 \div 60\)

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Definition – Equal-Sized Groups

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volume_mute

According to the section, which mathematical operation is used to solve problems that involve forming equal-sized groups?

Addition

Subtraction

Multiplication

Division

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Classify by Definition

2 pts

Drag each expression into the correct category based on the definition that applies to it.

drag and drop the selected option to the right place

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Read the definition and click on the two words that complete the sign rules for dividing integers

1 pts

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

volume_mute

To divide two integers, divide their absolute values. The quotient of two integers that have the same signs is positive. The quotient of two integers that have different signs is negative.

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Vocabulary – Parts of a Division Problem

Correct Answer

Explanation

Label the Parts of a Division Problem

Correct Answer

Explanation

Definition – Related Multiplication Statement

Correct Answer

Explanation

Definition – Division of Zero

Correct Answer

Explanation

Definition – Division by Zero

Correct Answer

Explanation

Division of 0 vs. Division by 0

Correct Answer

Explanation

Definition – Like Signs Rule

Correct Answer

Explanation

Definition – Unlike Signs Rule

Correct Answer

Explanation

Select all the valid Division Sign Cases

Correct Answer

Explanation

Match Each Division Type to Its Sign

Correct Answer

Explanation

Definition – Trailing Zeros Shortcut

Correct Answer

Explanation

Definition – Equal-Sized Groups

Correct Answer

Explanation

Classify by Definition

drag and drop the selected option to the right place

Correct Answer

Explanation

Read the definition and click on the two words that complete the sign rules for dividing integers

Correct Answer

Explanation

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