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Last year a restaurant chain spent 3.3 times 10^6 dollars opening new restaurants. This year the restaurant spends 9.9 times 10^ dollars. Which statement is true?

A.) The restaurant spends $330,000 dollars last year.

B.) This year the restaurant spends $9,900,000.

C.) The restaurant spends 6.6 times 10^ dollars more this year than last year.

D.) This year the restaurant spends about 0.3 times the amount it did last year.


Sagot :

Use of scientific notion we choose Option (d)

(d) This year the restaurant spends about 0.3 times the amount it did last year.

( 9.9 * 10^5 ) ÷ ( 3.3 * 10^6 ) = 0.3

[tex]\frac{ 9.9 * 10^5}{3.3 * 10^6}[/tex] = 0.3

A restaurant chain spent 3.3 times 10^6 dollars for new restaurant in last year

and this year spent 9.9 times 10^5 dollars

then we find which option should be satisficed :

(a)The restaurant spends $330,000 dollars last year

                                          = 330,000 = 3.3 * 10^5

given that last year spent 3.3 * 10^6 dollars

hence, 3.3 * 10^5 ≠  3.3 * 10^6 (not equal)

(b) This year the restaurant spends $9,900,000 = 9.9 *10^6

given that current year spent  9.9 * 10^5 dollars

so,  9.9 *10^6 ≠ 9.9 * 10^5 dollars( not equal)

(c) The restaurant spends 6.6 times 10^ dollars more this year than last year

last year spent 3.3 * 10^6 dollars and current year spent  9.9 * 10^5 dollars

3.3 * 10^6 >  9.9 * 10^5

so, it is wrong.

(d) This year the restaurant spends about 0.3 times the amount it did last year.

last year spent 3.3 * 10^6 dollars and current year spent  9.9 * 10^5 dollars

( 9.9 * 10^5 ) ÷ ( 3.3 * 10^6 ) = 0.3

[tex]\frac{ 9.9 * 10^5}{3.3 * 10^6}[/tex] = 0.3

so, by application of scientific notion, it is satisfied. then choose option (D)

A way of representing numbers in terms of a decimal number between 1 and 10—but not 10 itself multiplied by a power of 10—is known as scientific notation.

In scientific notation, all numbers are written in the general form as

N × 10^m

the product of N times 10 raised to the power of m, where m is an integer and N is any real number. The significand is the real number N, while the order of magnitude is the integer m.

The number of significant figures in the number is indicated by the digit word in the scientific notation. Only the decimal point is used in the exponential term.

To learn more about Scientific notion visit here :brainly.com/question/11978371

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