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3 years ago

10

The set of numbers in the form startfraction a over b endfraction a b, where a and b are integers and bnot equals≠0, is called

the set of _______ numbers.

2 answers:

Furkat [3]3 years ago

8 0

Answer:

Rational

Step-by-step explanation:

We have to find the fill in the blank space.

Rational number : It is defined as that number which can be written as $\frac{p}{q}$ where p and q are both integers and $q\neq 0$ .

Ration number set : It is represented by Q.It is a collection of rational numbers

It can be written as

Q={ $\frac{p}{q}, a,b\in Z, b\neq 0$ }

The set of a numbers in the form $\frac{a}{b}$ a,b : where a and b are integers and b not equal to zero , is called the set of rational numbers.

krek1111 [17]3 years ago

7 0

Rational Number are set of numbers that can be written as a/b where a and b are integers, but b is not equal to 0; an integer or a fraction; for example: 6 can be expressed as 6/1 and 0.5 can be expressed as 1/2.

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Renee is simplifying the expression (7) (StartFraction 13 over 29 EndFraction) (StartFraction 1 over 7 EndFraction). She recogni

dsp73

Answer:

The correct option is commutative property.

Step-by-step explanation:

The expression that Renee is simplifying is:

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})$

It is provided that, Renee recognizes that 7 and $\frac{1}{7}$ are reciprocals, so she would like to find their product before she multiplies by $\frac{13}{29}$ .

The associative property of multiplication states that:

$a\times b\times c=(a\times b)\times c=a\times (b\times c)$

The commutative property of multiplication states that:

$a\times b\times c=a\times c\times b=c\times a\times b$

The distributive property of multiplication states that:

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

The identity property of multiplication states that:

$a\times 1=a\\b\times 1=b$

So, Renee should use the commutative property of multiplication to find the product of 7 and $\frac{1}{7}$ ,

$(7)\cdot(\frac{13}{29})\cdot(\frac{1}{7})=(7\times\frac{1}{7})\times\frac{13}{29}=\frac{13}{29}$

Thus, the correct option is commutative property.

5 0

3 years ago

Read 2 more answers

which equation represents the function in the table?

Snowcat [4.5K]

Answer:

D

Step-by-step explanation:

Substitute the value of x in each function and check if it's equal to it's corresponding value of y.

Correct me if I'm wrong. I hope it helps.

8 0

3 years ago

What is the following quotient? StartFraction RootIndex 3 StartRoot 60 EndRoot Over RootIndex 3 StartRoot 20 EndRoot EndFraction

FrozenT [24]

Answer:

$\sqrt[3]{3}$

Step-by-step explanation:

We are required to simplify the quotient: $\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}}$

Since the <u>numerator and denominator both have the same root index</u>, we can therefore say:

$\dfrac{\sqrt[3]{60} }{\sqrt[3]{20}} =\sqrt[3]{\dfrac{60} {20}}$

$=\sqrt[3]{3}$

The simplified form of the given quotient is $\sqrt[3]{3}$ .

6 0

2 years ago

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At the Boston Marathon there were 20,000 runners who finished the race. Each runner ran a distance of 26 miles. If you add toget

andre [41]

Answer:

the runners have gone 20.8 times around the globe all together

Step-by-step explanation:

At the Bostom Marathon, we have a total of

N = 20,000 runners

We know that each runner ran a distance of

d = 26 miles

Therefore, the total distance travelled by all runners combined is:

$D=Nd=(20,000)(26)=5.2\cdot 10^5 mi$

We know that the circumference of the Earth is

$c=2.5\cdot 10^4 mi$

Here we want to find how many times around the globe would the marathon runners have gone. This can be found by calculating the following ratio:

$n=\frac{D}{c}$

And substituting the values, we find:

$n=\frac{5.2\cdot 10^5}{2.5\cdot 10^4}=20.8$

So, the runners have gone 20.8 times around the globe all together.

4 0

3 years ago

estimate 0.037854921 to the nearest hundredth express your answer as a single digit times a power of 10

Vilka [71]

To solve this problem you must apply the proccedure shown below:

1. Let's round the value to the nearest hundredth. As you can see, the digit 8 is in the thousandths place and is greater than 5, therefore, you must round up to 0.038.

2. Now express the value as a single digit times a power of 10, as following:

$38$ x $10^{-3}$

Therefore, the answer is: $38$ x $10^{-3}$

6 0

2 years ago

Read 2 more answers