Is 0.23 a rational number? Choose the best explanation.

Mathematics

2 answers:

dimulka [17.4K]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

A rational number can be expressed in the form

$\frac{a}{b}$ a,b ∈ Z ( set of integers )

0.23 = $\frac{23}{100}$ ⇒ a rational number

irinina [24]3 years ago

5 0

Answer:

Yes

Step-by-step explanation:

0.23 = 23/100.

AS a rational number is defined as a number which can be written as a/b , where a and b are integers, in its simplest form then we can definitely say that 0.23 is rational.

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Two cars travel along a highway at the same speed.

Mazyrski [523]

Answer:

30 mins

Step-by-step explanation:

<em>speed = distance/ time </em>

speed of car A

= 20/ 12 km/ min

= 5/ 3 km/ min

also, speed of car A = speed of car B

speed of car B = 5/ 3 km/ min = 50km / time taken (in mins)

$\frac{5}{3} = \frac{50}{t}$

$5t = 150$

$t = 30$

=> t = 30 mins

6 0

3 years ago

Continuing the pattern, what do the following terms equal?

rodikova [14]

The series formed by using exponential property we get : $\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} .$

What is Exponential Property?

Properties of Exponents : It is also called power or degree.
It tells us how many times the base will be multiplied by itself.
The properties of exponents or laws of exponents are wont to solve problems involving exponents.
These properties also are considered as major exponents rules to be followed while solving exponents.

Using exponential property on given values we get,

$2^1=1/ 2\\2^2=1/4\\2^3=1/8\\2^4= 1/16\\2^5= 1/32\\2^6 = 1/64\\2^7 = 1/128\\2^8 = 1/256\\2^9 = 1/512\\2^10 = 1/1024\ ...$

Complete series using exponent property is: $\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} ,$