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

Observe the given multiplies of 37
$\displaystyle 37\times 3$ = 111
$\displaystyle 37\times 6$ = 222
$\displaystyle 37\times 9$ = 333
$\displaystyle 37\times 12$ = 444
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Find the product of $\displaystyle 37\times 27$ ?

  1. 999

  2. Greatest 3 digit number

  3. Either A or B

  4. Smallest 3-digit number
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$\displaystyle 37\times 3=37\times \left ( 3\times 1 \right )=111$
$\displaystyle 37\times 6=37\times \left ( 3\times 2\right )=222$
$\displaystyle 37\times 9=37\times \left ( 3\times 3\right )=333$
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$\displaystyle 37\times 27=37\times \left ( 3\times 9 \right )=999$

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

The value of $555 \displaystyle \times   193 - 555 \displaystyle \times  93$ is

  1. $555,931$
  2. $1,210,321$
  3. $53,912$
  4. $55,500$
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Solving the given expression,
$555$  $\displaystyle \times  $ $193 - 555$ $\displaystyle \times  $ $93$
$= 555 \displaystyle \times    (193 - 93)$
$= 555 \displaystyle \times   100 = 55500$

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

Solve ($-144\displaystyle \div  16$) 

  1. $+9$
  2. $+11$
  3. $-9$
  4. $-11$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When you divide a negative number by a positive number then the quotient is negative. When you divide a positive number by a negative number then the quotient is also negative. So, in this case,

-144/16 = -9
So option C is the correct answer.

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

If the dividend and divisor have unlike signs then the quotient will be _____

  1. positive

  2. negative

  3. zero

  4. none
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If the dividend and divisor have unlike signs then the quotient will be Negative.


Division of Integers is similar to the division of whole numbers (both positive) except the sign of the quotient needs to be determined.

If both the dividend and divisor are positive, the quotient will be positive.
(+16) ÷ (+4) = +4

If both the dividend and divisor are negative, the quotient will be positive.
(-16) ÷ (-4) = +4

If only one of the dividend or divisor is negative, the quotient will be negative.
(+16) ÷ (-4) = -4     or      (-16) ÷ (+4) = -4

In other words, if the signs are the same the quotient will be positive, if they are different, the quotient will be negative
Hence Option B