Use properties of division to divide whole numbers

The properties of division help you simplify complex calculations, recognize when a result will remain a whole number, and maintain logical consistency by avoiding mathematically undefined operations like dividing by zero.

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QUESTION OF

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Views #: 285
Questions #: 15
Time: 15 minutes
Pass Score: 80.0%
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Any Whole Number Divided by 1

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Evaluate: \(141 \div 1\)

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Any Nonzero Number Divided by Itself

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Evaluate: \(35 \div 35\)

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Zero Divided by a Nonzero Number

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Evaluate: \(0 \div 17\)

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Division by Zero

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Evaluate: \(17 \div 0\)

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Zero Divided by Zero

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Evaluate: \(0 \div 0\)

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Complete the Four Division Properties

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Drag the correct value into each placeholder:

  • Any whole number divided by 1 equals (1).
  • Any nonzero whole number divided by itself equals (2).
  • Zero divided by any nonzero number equals (3).
  • Division of any nonzero number by 0 is (4).
Please drag and drop the selected option in the right place or type it instead
1
that number
undefined
0
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Which Expressions Equal 1?

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Select all expressions that equal 1.

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Which Expressions Are Undefined?

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Select all expressions that are undefined.

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Is Division Commutative?

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Multiplication is commutative: \(3 \times 4 = 4 \times 3\). Is division also commutative? Evaluate both sides:

\(12 \div 4 \quad\text{vs}\quad 4 \div 12\)

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Classify by Division Property

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Expressions
×\(45 \div 1\)
×\(0 \div 7\)
×\(99 \div 99\)
×\(8 \div 0\)
Equals that number
Equals 0
Equals 1
Undefined

Drag each expression into the correct property category.

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Why Is Division by Zero Undefined?

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To find \(2 \div 0\), we would need to find \(?\) such that the related multiplication holds. What is the problem?

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Sort the Division Properties in Order

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Please drag and drop the options to sort them

Drag the four division properties into the order they are typically presented.

 Hint: property of 1 first, undefined last
Zero divided by any nonzero number = 0
Any whole number divided by 1 = that number
Division by 0 is undefined
Any nonzero whole number divided by itself = 1
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Evaluate: 0 ÷ 42

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Evaluate: \(\dfrac{0}{42}\)

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Hangman – Division Property Result

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Lives: 10

Any nonzero whole number divided by itself always equals ______.

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Read the passage and click on the word that describes what division by zero produces

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

When we try to find the quotient of 2 divided by 0, we look for a number that when multiplied by 0 gives 2. Since no such number exists, we say that division by 0 is undefined. In contrast, zero divided by any nonzero number is always 0.

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Year 7