Tag: the integers

Quizzes (6) Questions (5)

Questions Related to the integers

Multiple choice maths the integers properties of integer multiplication properties of addition and subtraction of integers propertie of integers

Simplify using associative property:
$(-5) \times [(-8) \times 2] =$  $....$

  1. $40$
  2. $-80$
  3. $80$
  4. $-40$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

$(-5) \times [(-8)\times 2] = (-5)\times (2\times (-8))$ (commutative property)
$= [(-5)\times 2] \times (-8)$ (associative property)
$= (-10) \times (-8)$
$= 80$
(Here, we used various properties to skip $(-5)\times (-8)$ which could have been time consuming).

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

Suppose we represent the distance above the ground by a positive integer and that below the ground by a negative integer, then answer the following:
An elevator descends into a mine shaft at the rate of $5$meters per minute. What will be its position after one hour? 

  1. $250$
  2. $300$
  3. $100$
  4. $50$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Since, the elevator going down, so the distance covered by it will be represented by a negative integer.
Change in position of elevator in one minute = $-5 m$.
Position of the elevator after $60$ minutes = $(-5)\times 60 =-300\ m$ 

i.e. $ 300\ m$ below ground level.