6. Express the following rational numbers as decimals numbers 354 115 iv) 1000 500 1- = 25 Il D in iv) 36
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Q. 63.9( 61 Votes )
Express the follo
Class 9thAP- Mathematics1. Real Numbers
Answer
I. (i). 242/1000 = 242 × 10-3
⇒ 242/1000 = 0.242
(∵ 242 ÷ 1000 = 0.242)
(ii). 354/500 = (354/5) × 10-2
⇒ 354/500 = 70.8 × 10-2
Or 354/500 = 70.8 ÷ 100
⇒ 354/500 = 0.708
(iii). 2/5 = 2 ÷ 5
⇒ 2/5 = 0.4
(iv). 115/4 = 115 ÷ 4
⇒ 115/4 = 28.75
II. (i). 2/3 = 2 ÷ 3
⇒ 2/3 = 0.6666666…
This is clearly a repeating or recurring decimal. Thus, round-off the decimal in 2-digit or so after the decimal point.
⇒ 2/3 = 0.67
(ii). -25/36 = -25 ÷ 36
⇒ -25/36 = -0.6944444…
This is clearly a repeating or recurring decimal. Thus, by rounding off in 4-digit or so after the decimal point.
⇒ -25/36 = -0.6944
(iii). 22/7 = 22 ÷ 7
⇒ 22/7 = 3.142857143…
This clearly is non-repeating, non-terminating decimal, which is a decimal number which continues endlessly with no group of digits repeating endlessly.
Thus, take only 2 or 3 digit after decimal point.
⇒ 22/7 = 3.14
This number is also called π (pi).
(iv). 11/9 = 11 ÷ 9
⇒ 11/9 = 1.2222222…
This is a repeating or recurring decimal. Thus, round it off to 2 or so digits after the decimal point.
⇒ 11/9 = 1.22
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