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VMariaS [17]
3 years ago
6

How many times greater is 46 than 0.46? Explain to a classmate

Mathematics
2 answers:
Monica [59]3 years ago
5 0
46:0.46=\dfrac{46}{0.46}=\dfrac{46\cdot100}{0.46\cdot100}=\dfrac{4,600}{46}=\boxed{100}\\\\Answer:\huge\boxed{100\ times}
butalik [34]3 years ago
3 0
46 is 100 times bigger than 0.46. When you divid 46 by 100, you move the decimal twice to the left, and you get 0.46. You can also see that u move the decimal is 0.46 twice to get 46, so it's 100 times greater.
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True or False:
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True. If you're just changing the form, yes. But remember when you change one side of an equation, you must change the other in the same way.
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Answer:

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Step-by-step explanation:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}

\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}

\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}

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3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}

(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

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