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Mnenie [13.5K]
3 years ago
8

The number 10^55 is how many times the number 2 × 10^11 ?

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0

Answer:

5 × 10^43

Step-by-step explanation:

we know that

To find out how many times the number 10^55 is greater than the number 2 × 10^11, divide the number 10^55  by the number 2 × 10^11

Remember that

To divide two numbers in scientific notation, divide their coefficients and subtract their exponents

so

\frac{10^{55}}{2*10^{11}}=(\frac{1}{2})(\frac{10^{55}}{10^{11}})=0.5*10^{(55-11)}=0.5*10^{44}

we have that

0.5=5*10^{-1}

substitute

(5*10^{-1})(10^{44})=5*10^{(44-1)}=5*10^{43}

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