Question

Use the number line to find the distance between -3 and -9

Answer 1

a) 6

b) 6

-6

c) 6

6

Step-by-step explanation:

a) For the number line, the distance will be the difference between the endpoint and the initial point as shown;

Distance = -3 - (-9)

Distance = -3 + 9

Distance = 6units

b) -3 - (-9)

= -3 + 9

= 6

c) -9 - (-3)

= -9 + 3

= -6

d) For the modulus

|-3 - (-9)|

= |-3 + 9|

= |6|

Since the modulus of a value returns a positive value, |6| = 6

e) |-9-(-3)|

= |-9+3)|

= |-6|

Since the modulus of a negative value gives a positive value, hence;

|-6| = 6