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
Answer:
Evaluate each expression. Name the property used in each step.
62/87,21
Substitution
Multiplicative Inverse
Multiplicative Identity
6 + 4(19 í 15)
62/87,21
6 + 4(19 í 15)
= 6 + 4(4) Substitution
= 6 + 16 Substitution
= 22 Substitution
5(14 ± 5) + 6(3 + 7)
62/87,21
5(14 ± 5) + 6(3 + 7)
= 5(9) + 6(10) Substitution
= 45 + 60 Substitution
= 105 Substitution
FINANCIAL LITERACY Carolyn has 9 quarters, 4 dimes, 7 nickels, and 2 pennies, which can be represented as
9(25) + 4(10) + 7(5) + 2. Evaluate the expression to find how much money she has. Name the property used in each
step.
62/87,21
Carolyn has 302or $3.02.
9(25)
62/87,21
Substitution
Multiplicative Inverse
Multiplicative Identity
6 + 4(19 í 15)
62/87,21
6 + 4(19 í 15)
= 6 + 4(4) Substitution
= 6 + 16 Substitution
= 22 Substitution
62/87,21
Associative ( )
Substitution
= 4 Substitution
Evaluate each expression. Name the property used in each step.
62/87,21
= 3(22 ± 21) Substitution
= 3(1) Substitution
= 3 Multiplicative Identity
Step-by-step explanation:
Step-by-step explanation:
1.. (2/7+1/4)+2/3=2/7+(1/4+2/3)
= (15/28)+2/3= 2/7+11/12
= 101/84=101/84