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topjm [15]
3 years ago
14

Bethany wants to estimate the value of (4.296 times 10 Superscript 11) (1.8614 times 10 Superscript negative 14). Which statemen

t about the estimate is true?
Mathematics
2 answers:
avanturin [10]3 years ago
4 0

Answer:

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = -3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

The question lacks appropriate option. Find the options below;

A. The value will be greater than 1 because 4.296 x 10^11 is a very large number and multiplication always increases the size of a number.

B. The value will be greater than 1 because 4 x 2 = 8 and 8 is larger than 1.

C. The value will be less than 1 because (4.296 x 10^11) x (1.8614 x 10^-14) will be a negative number. All negative numbers are less than one.

D. The number will be less than 1 because when adding the exponents,

11 + (-14) = 3, and a number in scientific notation with a negative exponent is less than 1.

Given the expression (4.296*10^{11})(1.8614*10^{-14}), to expand the expression we will apply some of the law of indices below. If a, b and m are integers

a^m*a^n = a^{a+m}

= (4.296*10^{11})(1.8614*10^{-14})\\\\= (4.296*1.8614)(10^{11}*10^{-14}) \\\\= 7.9965744 * 10^{11}*10^{-14}\\sum \ up \ the\  power\ of\ the \ exponents\\\\=  7.9965744 *10^{11-14}\\\\= 7.9965744 *10^{-3}\\

= 0.0079965744

<em>Based on the result, it can be seen that the resulting value is less than 1 due to the negative power of its exponent (i.e -3). Any scientific notation having a negative exponent always returns a value that is less than 1.</em>

Artist 52 [7]3 years ago
3 0

Answer:

The number will be less than 1 because when adding the exponents, 11 + (negative 14) = negative 3, and a number in scientific notation with a negative exponent is less than 1.

Step-by-step explanation:

Took the quiz (:

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Answer:

Choice B and Choise C.

Step-by-step explanation:

Equivalent expressions are those expressions that have the same value but they look different.

Given the following expression provided in the exercise:

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You need to remember the multiplication of signs in order to find the equivalent expressions:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Then:

- Eliminating the parentheses, you get this equivalent expression:

6.53 +4.11 + 7.92

- Since the mulplication of two negative signs gives yous a positive sign, you can rewrite the original expression in this form:

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This is an equivalent expression to 6.53 - (-4.11) + 7.92

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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