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ArbitrLikvidat [17]

3 years ago

8

A decimal rounded to the nearest hundredth is 6.32.This decimal is greater than 6.32

2 answers:

il63 [147K]3 years ago

8 0

Answer:

6.3224

Step-by-step explanation:

Let the required decimal be x.

We have, x rounded off to hundredth = 6.32 and x > 6.32

So, let us take x = 6.3224

We get that 6.3224 satisfies the given properties

i.e. 6.3224 rounded off to hundredth is 6.32 and also 6.3224 > 6.3200 as the the third terms after decimal of 6.3224 is greater than the third term after decimal of 6.3200 i.e. 2 > 0.

Hence, the required decimal is 6.3224.

Salsk061 [2.6K]3 years ago

5 0

Hi there!

First of all we need to remember the number 6.32.

It could be any of the following:
6.323 OR 6.324

We are rounding UPPP! If you were to round down it would be 6.32 or less.

Hope this helped!

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2 years ago

Which statement is true?

love history [14]

<h2>Hello!</h2>

The answer is:

The second option,

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<h2>Why?</h2>

Discarding each given option in order to find the correct one, we have:

<h2>First option,</h2>

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[2m]{xy}$

The statement is false, the correct form of the statement (according to the property of roots) is:

$\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}$

<h2>Second option,</h2>

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

The statement is true, we can prove it by using the following properties of exponents:

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$\sqrt[n]{x^{m} }=x^{\frac{m}{n} }$

We are given the expression:

$(\sqrt[m]{x^{a} } )^{b}$

So, applying the properties, we have:

$(\sqrt[m]{x^{a} } )^{b}=(x^{\frac{a}{m}})^{b}=x^{\frac{ab}{m}}\\\\x^{\frac{ab}{m}}=\sqrt[m]{x^{ab} }$

Hence,

$(\sqrt[m]{x^{a} } )^{b}=\sqrt[m]{x^{ab} }$

<h2>Third option,</h2>

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The statement is false, the correct form of the statement (according to the property of roots) is:

$a\sqrt[n]{x}+b\sqrt[n]{x}=(a+b)\sqrt[n]{x}$

<h2>Fourth option,</h2>

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The statement is false, the correct form of the statement (according to the property of roots) is:

$\frac{\sqrt[m]{x} }{\sqrt[m]{y}}=\sqrt[m]{\frac{x}{y} }$

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Have a nice day!

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