Multipying integers (vocabulary)

Label the Parts of a Multiplication Problem

2 pts

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

\(-5\) × \(10\) = \(-50\)

(1) × (2) = (3)

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

Factor

Product

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Explanation

Vocabulary – Like Signs

1 pts

volume_mute

Two integers are said to have like signs when they are:

Both negative, or both positive

One positive and one negative

Both equal to zero

One zero and one nonzero

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Vocabulary – Unlike Signs

1 pts

volume_mute

A positive integer and a negative integer are said to have unlike signs, also called ______ signs.

different

same

equal

zero

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Classify Pairs as Like or Unlike Signs

2 pts

Drag each pair of integers into the correct category.

drag and drop the selected option to the right place

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Vocabulary – Commutative Property

1 pts

Complete the definition:

The (1) property of multiplication states that the order in which integers are multiplied does not change their product.

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Vocabulary – Associative Property

1 pts

Complete the definition:

The (1) property of multiplication states that the way in which integers are grouped does not change their product.

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Match Each Property to Its Definition

2 pts

Match each multiplication property to the correct definition.

To complete the line match

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

Property

Commutative

Associative

Definition

The grouping of factors does not change the product.

The order of factors does not change the product.

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Identify the Base and the Exponent

1 pts

In the expression \((-3)^5\), drag the correct term into each placeholder:

The (1) is \(-3\), and \(5\) is the (2).

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

base

exponent

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Identify the Base in a Tricky Expression

1 pts

volume_mute

In the expression \(-7^{9}\), what is the base?

\(-7\)

\(7\)

\(9\)

\(-9\)

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Vocabulary – Key Difference When Multiplying Integers

1 pts

volume_mute

Multiplying integers is very much like multiplying whole numbers. According to the textbook, what is the only difference?

We must determine whether the answer is positive or negative.

We must always use absolute values in the final answer.

We must convert both integers to fractions first.

We must add the integers before multiplying.

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Explanation

Sign Rule – Unlike Signs Product

1 pts

Complete the rule:

To multiply a positive integer and a negative integer, multiply their absolute values. Then make the final answer (1).

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Sign Rule – Like Signs Product

1 pts

Complete the rule:

To multiply two integers that have the same sign, multiply their absolute values. The final answer is (1).

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Explanation

Match Sign Combination to Product Sign

2 pts

Match each multiplication type to the correct sign of its product.

To complete the line match

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

Multiplication type

Positive × Positive

Negative × Negative

Positive × Negative

Negative × Positive

Product sign

Positive

Negative

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Explanation

Vocabulary – Multiplication by Zero

1 pts

volume_mute

Complete the rule:

The product of any integer and 0 is ______.

0

1

the integer itself

undefined

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Explanation

Even vs. Odd Number of Negative Factors

2 pts

volume_mute

Select all expressions whose product is positive based on the rule about the number of negative factors.

\((-5)^{13}\)

\((-3)^{20}\)

\((-2)(-4)(-6)(-8)\)

\((-1)(-2)(-3)(-4)(-5)\)

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Sort by Sign and Value – Even/Odd Negative Factors

2 pts

Please drag and drop the options to sort them

Each expression below has a negative result or a positive result. Drag them in order: negative results first, then positive results.

\((-1)^{8}\)

\((-2)^{3}\)

\((-1)^{5}\)

\((-3)^{4}\)

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Notation – Translate Words to Symbols (1)

1 pts

volume_mute

Translate into mathematical symbols:

"negative three times negative two"

\(-3 \times (-2)\)

\(-3 - 2\)

\(3 \times (-2)\)

\(-3 \times 2\)

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Explanation

Notation – "Negative Five Squared" vs. "Opposite of the Square of Five"

2 pts

volume_mute

Which pair correctly translates both phrases into mathematical symbols?

Phrase	Symbol
negative five squared	?
the opposite of the square of five	?

negative five squared → \((-5)^2\) and opposite of the square of five → \(-5^2\)

negative five squared → \(-5^2\) and opposite of the square of five → \((-5)^2\)

Both translate to \((-5)^2\)

Both translate to \(-5^2\)

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Explanation

Catch the Vocabulary Term!

3 pts

Catch each falling term and drop it into the correct definition box.

drag and drop the selected option to the right place

Multiplication problem

Exponential expression

Multiplication properties

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Identify the Sign-Rule Words

1 pts

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

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To multiply two integers, multiply their absolute values. The product of two integers that have like signs is positive. The product of two integers that have unlike signs is negative.

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Label the Parts of a Multiplication Problem

Correct Answer

Explanation

Vocabulary – Like Signs

Correct Answer

Explanation

Vocabulary – Unlike Signs

Correct Answer

Explanation

Classify Pairs as Like or Unlike Signs

drag and drop the selected option to the right place

Correct Answer

Explanation

Vocabulary – Commutative Property

Correct Answer

Explanation

Vocabulary – Associative Property

Correct Answer

Explanation

Match Each Property to Its Definition

Property

Definition

Correct Answer

Explanation

Identify the Base and the Exponent

Correct Answer

Explanation

Identify the Base in a Tricky Expression

Correct Answer

Explanation

Vocabulary – Key Difference When Multiplying Integers

Correct Answer

Explanation

Sign Rule – Unlike Signs Product

Correct Answer

Explanation

Sign Rule – Like Signs Product

Correct Answer

Explanation

Match Sign Combination to Product Sign

Multiplication type

Product sign

Correct Answer

Explanation

Vocabulary – Multiplication by Zero

Correct Answer

Explanation

Even vs. Odd Number of Negative Factors

Correct Answer

Explanation

Sort by Sign and Value – Even/Odd Negative Factors

Correct Answer

Explanation

Notation – Translate Words to Symbols (1)

Correct Answer

Explanation

Notation – "Negative Five Squared" vs. "Opposite of the Square of Five"

Correct Answer

Explanation

Catch the Vocabulary Term!

drag and drop the selected option to the right place

Correct Answer

Explanation

Identify the Sign-Rule Words

Correct Answer

Explanation

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