Algebraic Operations on Integers

A submarine submerges at the rate of $5 \mathrm{m}/\min$. If it descends from $55 \mathrm{m}$ above the sea level, how long will it take to reach $255 \mathrm{m}$ below sea level?

Anna is a microbiology student. She was doing research on optimum temperature for the survival of different strains of bacteria. Studies showed that bacteria $B$ need optimum temperature of $-36°\mathrm{C}$ while bacteria $A$ need optimum temperature of $-51°\mathrm{C}$. What is the temperature difference?

Prove that subtraction of integers is not associative.

The associative property of integers does not hold true for subtraction.

Find the product of $3$ and $7$ using a number line.

Find the product of integers $3$ and $4$ using number line.

Find the product of integers $3$ and $6$ using number line.

Take two integers $4,6$ and show that the difference of any two integers will always be an integer.

Explain with an example, that the difference of any two integers will always be an integer.

State commutative property of division of integers and verify with integers $4$ and $2$.

State commutative property of division of integers and verify with integers $5$ and $8$.

$a=3$ and $b=5$. Verify commutative property of subtraction of integers.

$a=2$ and $b=4$. Verify commutative property of subtraction of integers.

State commutative property of division of integers and verify with integers $4$ and $6$.

$\left(-2\right)+\left(-1\right)+0+1+2=$_____.

$-17\times 0=$ _____

$12\times \left(-30\right)=$_____

Sum of given integer show closure property.

$5,2,8,6,10,12$.               [Enter true/false]

Evaluate:
(−​10) ÷​ 5 −​ [ (−​25) + 40) ] ÷ (−​3) = _____

Evaluate:
[ 27 −​ 62  +  (−25) ] ÷ (−​5)  = _____