A math test on relative numbers in eighth grade is always to be done with great concentration. Indeed, relative numbers in math are very important and constitute a good basis of progression for the student.
This proctored assignment on relative numbers in eighth grade involves the following concepts:
– addition of relative numbers;
– the rule of signs;
– subtraction of relative numbers;
– product of relative numbers;
– quotient of two relative numbers.
D.S : relative numbers
Exercise n° 1 : (7 pts)
Calculate the following numerical expressions:
A= -3+7 D= 1-30 G = – 4×11
B = 7+(-15) E= -5-(-8) H =(-13)x(-3)
C=-5+(-16) F= -7-14 I = 27÷(-3) J=(-42)/(-24)
Exercise n° 2 : (4 pts)
Perform the following calculations, detailing the different steps:
A= (-3)+(-6)x(-4) C= -5x(-6-7)
B = (-6)÷(-3)+(-4)x(-2) D = 5-( -8+17)x3
Exercise n° 3 : (2 pts)
Specify, for each expression, the sign of the result by explaining the rule used (no calculation is required).
A=(-2)x(-2)x(-2)x(-2)x(-2) C: product of 131 positive numbers.
B= 3x(-7)x(-4)x(+2)x(-32)x(-4) D: product of 14 positive numbers and 3 negative numbers.
Exercise n° 4 : (2 pts)
Complete with the missing sign or number:
A = (-15)x(…4)=60 C= 3x(- …)x(-…)= ….27
B= (-2)x(-1)x(…2)= – …. D=(-4)x(…)x(-1)= – 4
Exercise n° 5 : (2 pts)
Add parentheses to make the equalities fair.
A= – 4 ÷ – 12 x 3 =1 C= – 10 + 6 ÷ (-2) = 2
B= 200 ÷ (-4) – (-5) x 10 = 0 D= – 3 x (-2) + (-1) = 9
Exercise #6: Logic!!! (3 pts)
a,b,c are three non-zero relative numbers.
¨ a and ab have the same sign.
¨ a and abc have different signs.
¨ ac and bc have the same sign.
1. Can we give the sign of a, b and c ?
2. If so, what are these signs?
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