Insert two rational numbers between 12 and 14 step by step
Answers
Answer:
We have,
-9/19 = -9 × 10/19 × 10 = -90/190 and,
5/19 = 5 × 10/19 × 10 = 50/190
We know that
-90 < -89 < -88 < -87 < -86 < -85 < …….. < -25 < -24 < -23 < -22 < …….. < -1 < 0 < 1 < 2 < …….. < 9 < 10
⇒ -90/190 < -89/190 < -88/190 < -87/190 < -86/190 < -85/190 < …….. < -25/190 < -24/190 < -23/190 < -22/190 < …….. < -1/190 < 0/190 < 1/190 < 2/190 < …….. < 9/190 < 10/190
Hence, < -89/190 < -88/190 < -87/190 < -86/190 < -85/190 < …….. < -25/190 < -24/190 < -23/190 < -22/190 < …….. < -1/190 < 0/190 < 1/190 < 2/190 < …….. < 9/190 < 10/190 are the 100 rational numbers between -9/19 = -90/190 and 5/19 = 50/190 .
Step-by-step explanation:
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Answer:
let x =12 and y =14, number of rational numbers=2
d=(y-x)/x+1=(14-12)/12+1
d=2/13
(x+d),(x+2d). if you want more rational numbers so you must follow this rule and continuously x+3d,x+4d etc etc.....
Step-by-step explanation:
so( x+d)=12+2/13=158
2nd rational number (x+2d) =(12+2×2/13)
=160 .