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stich3 [128]
3 years ago
5

What is the exponent for 23,000 when writen in scientific notation​

Mathematics
1 answer:
Fiesta28 [93]3 years ago
8 0

Answer:

2.3 x 10⁴

Step-by-step explanation:

23000 is the number. You need the decimal to be in between the two whole numbers that aren't 0.

2.3 <

2.3 x 10, the exponent after the ten has to move the decimal to the original number of spaces in the original number 23000.

In 23000 its 4 places so your answer would be

2.3 x 10⁴

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rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

\displaystyle \frac{2}{15}.

Step-by-step explanation:

Let x be the amount of ice cream that Catherine's sister ate, in gallons.

  • Original amount: 1 gallon.
  • What Catherine ate: \displaystyle \frac{1}{5} gallons.
  • What Catherine's sister ate is assumed to be x gallons.
  • What's left: \displaystyle \frac{2}{3} gallons.

Consider the relationship:

\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}.

That is:

\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}.

Add x to both sides of this equation:

\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x

Substract \displaystyle \frac{2}{3} from both sides:

\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x.

Convert the denominator of all three numbers on the left-hand side to 3 \times 5 = 15

\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x.

\displaystyle x = \frac{2}{15}.

In other words, Catherine's sister ate \displaystyle \frac{2}{15} gallons of the ice cream.

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