5. Identify the property:
a. (2/7 + 1/4) + 2/3 = 2/7 + (1/4 + 2/3)
b. 1/7 + 5/10 = 5/10 + 1/7
c. 4/6 + 0 = 0 + 4/6 = 0
6. Zero has _______ reciprocal
7. State True / False:
a. Associative property of rational numbers does not satisfy for subtraction. ______
b. Additive identity of any rational number is 0. ________
c. The product of a number and its reciprocal is always 1. _________
d. If we add a rational number to its additive inverse, the answer we will get is 1.
_____
8. The absolute value of -18/25 is __________
9. State commutative property of subtraction of rational numbers with an example.
10. Verify closure property of addition for -8/11 and 3/6.
Answers
α) αѕѕσcíαtє prσpєrtч
4-6-0вvtru
c) ѕtєαm lσcσmσtívє whєєl cσnfígurαtíσn
Under the Whyte notation for the classification of steam locomotives by wheel arrangement, 4-6-0 represents the configuration of four leading wheels on two axles in a leading bogie and six powered and coupled driving wheels on three axles with the absence of trailing wheels.
6) nσ
7) truє σr fαlѕє
α) When all three rational numbers are subtracted or divided in an order, the result obtained will change if the order is changed. So, subtraction and division are not associative for rational numbers.
в)truє
In addition, the additive identity property for rational numbers is that when you add a rational number to the additive identity, then you get back the same rational number. ... Hence, the additive identity for all rational numbers is the number 0.
c)truє
The reciprocal or multiplicative inverse of a number x is the number which, when multiplied by x , gives 1 . So, the product of a number and its reciprocal is 1 .
d) fαlѕє
wє gєt 0 íѕ thє αnѕwєr
8) Definitions: The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line.
Answer:
a) associative property
B) ?
c) zero property
d) answer is no
7
a) true
B) true
c) true
d) false
8) 18/25
10) -8/7 = 0.47
3/6= 0.5