Question

1) Using appropriate properties find

a) -3/4 × 2/3+2/7×-14/8-5/6×3/4

b)-7/8×2/3-1/4×3/5+4/5×7/8



2) Fill in the blanks and state the property.

a) -2/9 ÷-2/9=_____

b) 11/7÷_____=-1

c) -3/4 × _____= -9/5× -3/4

d)-3/13× _____=0× -3/13

e) 7/15×_______=7/15

f)4/3+0 = ------

g) 2/3+5/7=5/7+____

h)(-3/4 + 1/2)+1/6=-3/4+(1/2+______ )

i) (-2/9×3/5) + (-2/9×7/11) = -2/9×(3/5____)



3) Find the additive inverse of

a) 3/7 b)-5/-11 c)-3/7 × 5/-4 d) 8/-9



4) Find `x`

a) 2/7+ x = 5/4 b)-1/8+x=11/72 c)-7/8×x=-1/2



5) Write the multiplicative inverse of the following rational numbers

a)-2/5 × -3/8 b) 5 c)-19/12 d) -6/-19



6) Verify that-(-x) =x if

a) x=-7/8 b) 8/17

7) Is 0.21 the multiplicative inverse of 4 16/21?

8) Is 33 1/3 the multiplicative inverse of 0.03?

9) Draw a number line and represent the following:

a)-7/8 b)8/3 and -8/3 c)-11/6 d)10/4

10) Find 5 rational numbers between

a) 1/4 and7/8 b) 0 and 2 c)-7 and -8 d)-7/9 and 1/9

11) Write any 10 rational numbers less than

a) +1 b)-3/8


PLEASE ANWER ​

Answer 1

Answer:

1. a) -13/8 b) -1/30

2.a) 1 (multiplicative inverse) b)-11/7(multiplicative inverse) c)-9/5 (commutative property)

d)0 ( commutative property)

e)1 ( multiplicative identity)

f)4/3 ( additive identity)

g)2/3 ( commutative)

h)1/6 ( associative property)

i)+7/11 (distributive property)

Answer 2

Answer:

3/4 (-2/3-5/6)+2/7×(-14/8)

3/4(-2×2-3×2 -5/6)+2/7(-14/8)

3/4(-4/6 -5/6)+2/7

3/4(-9/6-14/8)+2/7

3/4(-5/8)+2/70