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3 years ago

Which decimal number is equal to 1/8 ?

1 answer:

4 0

Convert 1/8" to decimal: numerator is top number - numerator is 1. denominator is bottom number - denominator is 8. divide the top number with the bottom number - 1/8 = 0.125.

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Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.

Anna71 [15]

For Commutative Property of Addition

Let us take a decimal number $2.14$ and a fraction $\frac{5}{20}$

Now, according to the Commutative property of Addition:

For any two numbers $a$ and $b$ :

$a+b = b+a$

So, for $2.14$ and $\frac{5}{20}$

Let us add

$2.14+\frac{5}{20} = \frac{214}{100} +\frac{5}{20}$

$=\frac{214}{100} + \frac{5 \times 5}{20 \times 5} \\ \\=\frac{214}{100} + \frac{25}{100} \\ \\= 2.14 + 0.25 \\ \\ = 2.39$

Also,

$\frac{5}{20} + 2.14 = \frac{5}{20} + \frac{214}{100}$

$= \frac{5 \times 5}{20 \times 5} +\frac{214}{100} \\ \\= \frac{25}{100} + \frac{214}{100} \\ \\= 0.25 + 2.14 \\ \\ = 2.39$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Commutative Property of Addition is satisfied.

For Associated Property of Addition

Let us take two same decimal numbers $2.14$ , $7.25$ and a fraction $\frac{5}{20}$

Now, according to the Associated property of Addition:

For any three numbers $a$ , $b$ and $c$

$a + (b+c) =(a+b) + c$

So, for $2.14$ , $7.25$ and $\frac{5}{20}$

The Left hand side:

$a + (b+c)$

$2.14 + (7.25 + \frac{5}{20}) = 2.14 + (\frac{725}{100} + \frac{5 \times 5}{20\times 5})$

$= 2.14 + (\frac{725}{100} + \frac{25 }{100})$

$= 2.14 + (\frac{750}{100} )$

$= \frac{214}{100} + \frac{750}{100}$

$= \frac{964}{100}$

$=9.64$

The Right hand side:

$(a + b )+c$

$(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}$

$= 9.39 + \frac{5 \times 5 }{20 \times 5}$

$= 9.39 + \frac{25}{100}$

$= 9.39 + 0.25$

$= 9.64$

Thus,

$(2.14 + (7.25 + \frac{5}{20} )= (2.14 + 7.25 )+ \frac{5}{20}$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Associative Property of Addition is satisfied.

8 0

3 years ago

Find the value of f(3) for the function f(x)=-4(x+3) f(3)=

otez555 [7]

Answer:

Step-by-step explanation:

Given function

f(x)= -4(x+3)

To find

f(3)=?

Solution

Substitute x with 3 in the equation to find f(3)

f(3) = -4(3+3) = -4*6 = -24

7 0

3 years ago

500 meters divided by 10 days

Flauer [41]

Answer:

50 meters per day

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Quadrilateral ABCD is inscribed in this circle. What is the measure of ∠A ? Enter your answer in the box. ° A quadrilateral insc

Lubov Fominskaja [6]

Answer: The measure of angle A is 59 degrees.

When you have a quadrilateral inscribed in a circle the opposite sides are always supplementary (add to 180). Given the order of the vertices of our quadrilateral, we know that A and C are opposite.

Therefore, we can write and solve the following equation.
A + C = 180
A + 121 = 180
A = 59 degrees

5 0

3 years ago

The slope of the graphed line is 2. Which formulas 3 represent the line that is graphed? Check all that apply. y-1 = (x - 2) 3 O

yuradex [85]

Answer:

never ever learned this but maybe The answer is:

b. y - 2 = 2/3(x-1)

c. y - 4 = 2/3(x-4)

e. f(x) = 2/3 + 4/3

Step-by-step explanation:

bce

3 0

2 years ago