Divide Rational Numbers Quick Check

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Question
Without calculating, which of the following quotients can you determine will be positive?(1 point)
Responses

−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis

−111 ÷ 37
negative 111 divided by 37

1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis

657 ÷ (−23)
657 divided by Left Parenthesis negative 23 Right Parenthesis
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Without calculating, which of the following quotients can you determine will be positive?(1 point)

Responses

−725 ÷ (−29)
negative 725 divided by Left Parenthesis negative 29 Right Parenthesis

−111 ÷ 37
negative 111 divided by 37

1,001 ÷ (−143)
1,001divided by Left Parenthesis negative 143 Right Parenthesis

657 ÷ (−23)

To determine whether the quotient will be positive or negative, we need to know the rule that states "a negative number divided by a negative number is positive."

Looking at the options, we can see that only the first option, −725 ÷ (−29), has a negative number divided by a negative number. Therefore, we can determine that the quotient for this option will be positive.

So the correct answer is:
−725 ÷ (−29)

Question

Which of the following does not have the same value as the others?(1 point)
Responses

−37
negative Start Fraction 3 over 7 End Fraction

−3−7
Start Fraction negative 3 over negative 7 End Fraction

3−7
Start Fraction 3 over negative 7 End Fraction

−37

To determine which of the options does not have the same value as the others, we need to evaluate the values.

Looking at the options, we can see that the first three options are written as fractions, whereas the fourth option is a whole number.

To compare the fraction options, let's simplify them:

-37 = -37
-3/7 = -3/7
3/-7 = -3/7

Therefore, the third option, 3−7, does not have the same value as the others.

So the correct answer is:
3−7

Using the rules for dividing signed numbers, what is the quotient when you divide 56÷(−4)÷(−2)?(1 point)

Responses

−7
negative 7

28
28

−28
negative 28

7

To divide signed numbers, we follow the rule that states "a negative number divided by a positive number is negative, and a positive number divided by a negative number is also negative."

Using this rule, let's simplify the expression:

56 ÷ (-4) ÷ (-2)

When we divide 56 by -4, we get -14:

-14 ÷ (-2)

Now, when we divide -14 by -2, the quotient is positive:

-14 ÷ (-2) = 7

Therefore, the correct answer is:
7

What is the quotient of −7÷(−3)?(1 point)

Responses

−37
negative Start Fraction 3 over 7 End Fraction

213
2 Start Fraction 1 over 3 End Fraction

37
Start Fraction 3 over 7 End Fraction

−213
negative 2 Start Fraction 1 over 3 End Fraction

To find the quotient of -7 ÷ (-3), we can follow the rule that states "a negative number divided by a negative number is positive."

Therefore, the quotient of -7 ÷ (-3) is positive, and the value is:

-7 ÷ (-3) = 7/3

So the correct answer is:
Start Fraction 7 over 3 End Fraction

What is the quotient of −7÷(−3)?(1 point)

Responses

−37
negative Start Fraction 3 over 7 End Fraction

213
2 Start Fraction 1 over 3 End Fraction

37
Start Fraction 3 over 7 End Fraction

−213

To find the quotient of -7 ÷ (-3), we can follow the rule that states "a negative number divided by a negative number is positive."

Therefore, the quotient of -7 ÷ (-3) is positive, and the value is:

-7 ÷ (-3) = 7/3

So the correct answer is:
Start Fraction 7 over 3 End Fraction

Which statement is correct?(1 point)

Responses

Division is both commutative and associative.
Division is both commutative and associative.

Division is neither commutative nor associative.
Division is neither commutative nor associative.

Division is commutative but not associative.
Division is commutative but not associative.

Division is associative but not commutative.

The correct statement is:

Division is neither commutative nor associative.

Choose the answer that best completes the statement.

A thesaurus is best used to ______________.
(1 point)
Responses

help find the meaning of a word
help find the meaning of a word

help find a word that means the same or a similar definition as another word
help find a word that means the same or a similar definition as another word

help find the spelling of a word
help find the spelling of a word

help find the pronunciation of a word
help find the pronunciation of a word

The correct answer is:

help find a word that means the same or a similar definition as another word

Using synonyms can help make your writing more ________________.

(1 point)
Responses

understandable
understandable

boring
boring

interesting
interesting

common

The correct answer is:

interesting

A table can help __________________.

(1 point)
Responses

find synonyms for words
find synonyms for words

organize thoughts and ideas
organize thoughts and ideas

spellcheck your document
spellcheck your document

find the pronunciation of a word

The correct answer is:

organize thoughts and ideas

In which circumstance would the View Side by Side feature be useful or helpful?

(1 point)
Responses

creating a table inside a document
creating a table inside a document

searching for words with similar meanings within a document
searching for words with similar meanings within a document

using the search and replace function
using the search and replace function

editing or comparing two different documents

The correct answer is:

editing or comparing two different documents

To determine whether the quotient will be positive or negative, we need to know the rule that states "a negative number divided by a negative number is positive."

Looking at the options, we can see that the first and third options have a negative number divided by a negative number. Therefore, we can determine that the quotients for the following options will be positive:
-725 ÷ (-29)
1,001 ÷ (-143)

So the correct answer is:
−725 ÷ (−29)
1,001 ÷ (−143)