Use the hodge conjucture. If the cummulative range between two positive integers a and b is +∞, show that the uniform difference is as above. Help, I'm stuck at some point.

Use the hodge conjucture. If the cummulative range between two positive integers a and b is +∞, sho

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montgomerykarloxc24x

19.02.2023

Mathematics

A. He changed the sign of the coefficient. A negative exponent does not affect the sign of a coefficient in scientific notation. The sign of the exponent determines the direction the decimal is moved in.

B. He rewrote $-28.53\times10^4$ incorrectly; $28.53\times 10^4 = 2.853\times 10^5$ . The exponent is increased to account for the extra place the decimal is moved.

Step-by-step explanation:

Given expression : $(6.34\times10^{-7})(4.5\times10^3)$

$=(6.34\times 4.5)(10^-7\times10^3)$ [Taking coefficients and exponents separate]

$=28.53\times10^{-7+3}$ [By law of exponent]

$=28.53\times10^{-4}$

Here he changed the sign of the coefficient. A negative exponent does not affect the sign of a coefficient in scientific notation. The sign of the exponent determines the direction the decimal is moved in.

Convert in scientific form.

$28.53\times10^{-4}=2.853\times10\times10^{-4}\\=2.853\times10^{1-4}\\=2.853\times10^{-3}$

In the given explanation he rewrote $-28.53\times10^4$ incorrectly; $28.53\times 10^4 = 2.853\times 10^5$ . The exponent is increased to account for the extra place the decimal is moved.

Thus, option A and B express the errors done by Stephen.

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Use the hodge conjucture. If the cummulative range between two positive integers a and b is +∞, show that the uniform difference is as above. Help, I'm stuck at some point.​