Name the property shown by each statement.

1 answer:

5 0

Most of these problems are the commutative property:

Addition
a + b = b + a

Multiplication
a * b = b * a

and the associative property:

Addition
(a + b) + c = a + (b + c)

Multiplication
(a * b) * c = a * (b * c)

There's also the Identity property:

Addition \ Subtraction:
a + 0 = a \ a - 0 = a

Multiplication \ Division:
a * 1 = a \ a / 1 = a

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Mr. West is standing on a cliff that is 25 1/5meters above the surface of the ocean. He spots a dolphin that is 2 3/5 meters und

zhenek [66]

Answer:

Total distance from Mr. West to dolphin $=27\frac{4}{5}\ meters$

Step-by-step explanation:

Height of cliff on which Mr. West is standing above the surface of ocean = $25 \frac{1}{5} \ meters$

Mr. West spot the dolphin under the water at a depth of = $2\frac{3}{5} \ meters$

∴ Total distance from Mr. West to dolphin= $(25 \frac{1}{5}+2\frac{3}{5})\ meters$

Adding mixed numbers

$(25 \frac{1}{5}+2\frac{3}{5})$

Adding whole numbers first.

$=25+2+\frac{1}{5}+\frac{3}{5}\\=27+\frac{1}{5}+\frac{3}{5}$

Adding fractions by taking LCD.

$=27+\frac{1+3}{5}\\=27+\frac{4}{5}\\=27\frac{4}{5}\ meters$

5 0

2 years ago

Explain whether the following given sets are closed under addition:

Ivan

Answer:

Step-by-step explanation:

a) Yes.

$\forall\ a,b\ \in\ B,\ a+b\in B\ (since\ 0+0=0)$

b) Yes

$W=\{0,1,2,3,..,\}\ (whole\ numbers)\\\forall\ a,b\ \in\ 3W,\ a+b\in 3W\\since:\\a\ \in\ 3W \Longrightarrow\ \exists\ k_1\in W | a=3*k_1\\\\b\ \in\ 3W \Longrightarrow\ \exists\ k_2\in W | b=3*k_2\\\\a+b=3*k_1+3*k_2=3*(k_1+k_2) \in 3W\\$