Tag: division of integers and its properties

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Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

$-32\times x= 160$, $-23\times y= -115$
What is the value of $x\div y$?

  1. $-1$
  2. $1$
  3. $-5$
  4. $5$
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation
Given, $-32\times x=160, -23\times y=-115$
We have $x=\dfrac{160}{-32}$

and $ y=\dfrac{-115}{-23}=\dfrac{115}{23}$

Thus $\dfrac{x}{y}=\dfrac{160\times 23}{-32\times 115}=-\dfrac{32\times23}{32\times 23}=-1$

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

State the following statement is True or False
Multiplication of one negative number and one positive number results into negative number

  1. True

  2. False
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

$(-)\times (+)=(-)\Rightarrow $   Multiplication of one negative number and one positive number results into negative number

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

Which of the following statements is true?

  1. The product of a positive and a negative integer is negative

  2. The product of a negative and a positive integer may be zero
  3. For all non-zero integers a and b, $a\times b$ is always greater than either a or b

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

a) The product of a positive and a negative integer is negative = True

b) The product of a negative and a positive integer may be zero = False
c) For all non-zero integers $a$ and $b$, $a\times b$ is always greater than either $a$ or $b$ = False
Hence option A is correct answer.

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

The sign of the product of two unlike integers is __________.

  1. Positive

  2. Negative

  3. Positive or negative

  4. Cannot be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The sign of the product of two unlike integers i.e.positive integer and negative integer is always negative.
Hence the correct answer is option B.

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

What will be the sign of the product if we together multiply $199$ negative integers and $10$ positive integers?

  1. Negative

  2. Positive

  3. Can't say

  4. Data is insufficient
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Multiplication of $2$ negative integer result into positive integer.

 
If we multiply $199$ negative integer, then the result will be negative integer

Now if we multiply $10$ positive numbers with $199$ negative integers 

we will get a negative integer because multiplication of negative and positive 
integer will always result in negative integer.

Hence option A is correct.

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

Which of the following statement is CORRECT?

  1. The product of a positive and a negative integer is always negative.

  2. The addition of a negative and a positive integer is always zero.

  3. For all non-zero integers a and b, a X b is always greater than either a or b.

  4. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

In option (A)       $-x\times x=-x^{2}$ which is always negative. option is correct.

In option (B)        $ -x+y$ not equals to $0$ it zero only when $x=y$  option is incorrect.
In option (C)         let $a=-3$ and $b=4$ then $a\times b=-3\times 4=-12$  which is less than both a and b. hence this option is also incorrect.
hence only option $A$ is correct.

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

A teacher assigns $5$ points for a correct answer, and $-2$ points for an incorrect answer, and $0$ points for leaving the questioned unanswered. What is the score for a student who had $22$ correct
answers, $15$ incorrect answers, and $7$ unanswered questions? 

  1. $60$
  2. $75$
  3. $80$
  4. $93$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Since, the teacher assigns 5 points for a correct answer, and −2 points for an correct answer, and 0 points for leaving the questioned unanswered.

So,the student gets $(22\times 5) +(15\times -2)+ (7\times 0)  = 80$

Multiple choice maths multiplication and division of integers division of integers and its properties multiplying and dividing integers multiplication of integers

The temperature at Bar Harbor, Maine, was $-3^{o}$ F. It then dropped during the night to
be $4$ times as cold. What was the temperature then?

  1. $12^{o}$ F
  2. $-12^{o}$ F
  3. $16^{o}$ F
  4. $-16^{o}$ F
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since the temperature is $4$ times as cold.

$\therefore $  Temperature then was $4\times -3= -12^o $ F