Divide two integers (definitions)

Learn the mathematical definitions describing the division of two integers

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QUESTION OF
Views #: 12
Questions #: 14
Time: 10 minutes
Pass Score: 80.0%
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Vocabulary – Parts of a Division Problem

1 pts
volume_mute

In the division problem below, what is the quotient?

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

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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)

Please drag and drop the selected option in the right place or type it instead
Dividend
Divisor
Quotient
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Definition – Related Multiplication Statement

1 pts
volume_mute

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

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

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Definition – Division of Zero

1 pts

Complete the definition:

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

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Definition – Division by Zero

1 pts

Complete the definition:

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

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Division of 0 vs. Division by 0

1 pts
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Which statement correctly distinguishes the two zero-division cases?

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Definition – Like Signs Rule

2 pts
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.

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Definition – Unlike Signs Rule

2 pts
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.

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Select all the valid Division Sign Cases

2 pts
volume_mute
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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?

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Definition – Equal-Sized Groups

1 pts
volume_mute

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

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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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Keywords
Year 8