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3 years ago

93+(68+7) in commutative,associative,and distributive

Mathematics

1 answer:

zhuklara [117]3 years ago

5 0

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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

$x = \frac{1}{2}$

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0

3 years ago

Omg help me thissssss plsssss

igomit [66]

Answer:

3.5

Step-by-step explanation:

If you multiply 3.5 for example by 2 (which is the number of gallons) you get 7 which is the cost (also a proportional relationship).

4 0

2 years ago

What is 7 1/2 - 3 4/41

Radda [10]

The LCD of 2 and 41 is 82 so we write 1/2 as 41/82:-

7 41/82 - 3 8/82

= 4 33/82 Answer

7 0

2 years ago

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Please help!!<br>show work!!<br>please!!

Advocard [28]

$\frac{1}{1} * \frac{1}{3}$ would work.

4 0

3 years ago

4²+A = can someone simplify this please

snow_lady [41]

Answer:

16+A

Step-by-step explanation:

4*4=16

7 0

2 years ago

Read 2 more answers