Mathematics
22.04.2023 19:42
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There are 5 black balls and 4 white balls in a bag. One ball is drawn from the bag,

There are 5 black balls and 4 white balls in a bag. One ball is drawn from the bag, the colour is noted and put back in the bag, then another is drawn.
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loganiero
loganiero
4,6(92 marks)
What is the question asking?
anthonyvargas8780
anthonyvargas8780
4,8(98 marks)

 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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