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melisa1 [442]
1 year ago
10

At an elevation of 1221.4 feet, Lake Mead will hold 28,945,000 acre-feet of water. Which number is the best estimate of this amo

unt of water?
Mathematics
1 answer:
dsp731 year ago
6 0

The estimate of the amount 28,945,000 is 3 × 10⁷

<h3>What is an estimate of a value?</h3>

An estimate is a rough or approximate calculation or judgement value.

The question is with regards to the scientific notation which is of the form a × 10ᵇ, where absolute <em>a</em> is of a value 1 ≤ a < 10

The scientific notation form of a number is found as follows;

The decimal point on the number is moved from its position to the point such that the number of non zero numbers to the left of the decimal point is 1

The number <em>b</em> is the number of places to which the decimal point is moved.

<em>b</em> is positive when the decimal point is moved to the left

<em>b</em> is negative when the decimal point in the number is moved to the right

<em>b</em> is zero when the decimal point is not moved

The scientific notation number formed, <em>a</em> × 10ᵇ, which is read as <em>a</em> times 10 raised to the power <em>b</em>.

The zeros in the tail to the right of the decimal point are removed

The number 28,945,000 in scientific notation is 2.8945 × 10⁷

The number part of the scientific notation is approximated to the next higher whole number, as follows;

The first digit to the right of the decimal point is 8 which is larger than 5, therefore the 2 is increased to 3

The approximated number is therefore;

  • 3 × 10⁷

Learn more about scientific notation in mathematics here:

brainly.com/question/5756316

#SPJ1

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Answer:

The answer for :

h. \:  \:   \: \frac{5}{6}

i. \:  \:  \:  \frac{35}{32}

k. \:  \:  \:  \frac{-29}{20}

l. \:  \:  \:  \frac{13}{15}

Step-by-step explanation:

Question h:

\frac{2}{3}  + ( \frac{1}{3}  \times  \frac{1}{2} )

=  \frac{2}{3}  +  \frac{1}{6}

=  \frac{2 \times 2}{3 \times 2}  +  \frac{1}{6}

=  \frac{4}{6}  +  \frac{1}{6}

=  \frac{5}{6}

Question i:

\frac{7}{8}  +  \frac{1}{4}  \times ( \frac{3}{2}  -  \frac{5}{8} )

=  \frac{7}{8}  +  \frac{1}{4}  \times ( \frac{3 \times 4}{2 \times 4}  -  \frac{5}{8} )

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=  \frac{7}{8}  +  (\frac{1}{4}  \times  \frac{7}{8} )

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=  \frac{7  \times 4}{8 \times 4}  +  \frac{7}{32}

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=  \frac{35}{32}

Question k:

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=  \frac{3}{4}  - ( \frac{12}{7}  \times  \frac{21}{12} ) +  \frac{4}{5}

=  \frac{3}{4}  -  \frac{3}{1}  +  \frac{4}{5}

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=  \frac{26}{30}

=  \frac{13}{15}

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