standard form of 26/-72 is a)-13/36
Answers
Answer:
Express each of the following rational numbers in the standard form:
(i) −924 (ii) −14−35 (iii) 27−72 (iv) −55−99
Solution:
(i) −924
The denominator of the rational number −924 is positive. In order to express it in standard form, we divide its numerator and denominator by the greatest common divisor of 9 and 24 is 3.
Dividing the numerator and denominator of −924 by 3, we get
−924 = (−9)÷324÷3 = −38
Thus, the standard form of −924 is −38.
(ii) −14−35
The denominator of the rational number −14−35 is negative. So, we first make it positive.
Multiplying the numerator and denominator of −14−35 by -1 we get
−14−35 = (−14)×(−1)(−35)×(−1) = 1435
The greatest common divisor of 14 and 35 is 7.
Dividing the numerator and denominator of 1435 by 7, we get
1435 = 14÷735÷7 = 25
Hence, the standard form of a rational number −14−35 is 25.
(iii) 27−72
The denominator of 27−72 is negative. So, we first make it positive.
Multiplying the numerator and denominator of 27−72 by -1, we have
27−72 = 27×(−1)(−72)×(−1) = −2772
The greatest common divisor of 27 and 72 is 9.
Dividing the numerator and denominator of −2772 by 9, we get
−2772 = (−27)÷972÷9 = −38
Hence, the standard form of 27−72 is −38.
(iv) −55−99
The denominator of −55−99 is negative. So, we first make it positive.
Multiplying the numerator and denominator of −55−99 by -1, we have
−55−99 = (−55)×(−1)(−99)×(−1)= 5599
The greatest common divisor of 55 and 99 is 11.
Dividing the numerator and denominator of by 5599 by 11, we get
5599 = 55÷1199÷11 = 59
Hence, the standard form of −55−99 is 59.
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