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Butoxors [25]
2 years ago
9

Estimate 0.067238149 to the nearest hundredth. Express your answer as a single digit times a

Mathematics
2 answers:
spin [16.1K]2 years ago
5 0

Answer:

7 x 10^{-2}

Step-by-step explanation:

1. Estimate 0.067238149 to the nearest hundredth.

In the decimal 0.067238149, 6 is in the hundredth position. So round decimal to 0.07, since the 7 in the original decimal 0.067238149, which is in the thousandths position, is 5 or more.

2, Express your answer as a single digit times a power of ten.

0.07 becomes 7.

Then, to get the power of ten, in the original decimal 0.067238149, place an imaginary decimal between the 6 and 7. Next, count to the left to find out how many places there are to the original decimal.  There are 2 spaces.

Therefore, the answer is 7 x 10^{-2} .

Maurinko [17]2 years ago
4 0

Answer:

0.07

Step-by-step explanation:

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Step-by-step explanation:

move the decimal so there is one non-zero digit to the left of the decimal point. the number of decimal places you move will be the exponent on the 10. if the decimal is being moved to the right, the exponent will be negative. if the decimal is being moved to the left, the exponent will be positive.

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DENIUS [597]
7x² = 9 + x   Subtract x from both sides
7x² - x = 9    Subtract 9 from both sides
7x² - x - 9 = 0   Use the Quadratic Formula

a = 7 , b = -1 , c = -9

x = \frac{-b \pm  \sqrt{b^2 - 4ac} }{2a}   Plug in the a, b, and c values
x = \frac{- (-1) \pm  \sqrt{(-1)^2 - 4(7)(-9)} }{2(7)}   Cancel out the double negative
x = \frac{1 \pm  \sqrt{(-1)^2 - 4(7)(-9)} }{2(7)}   Square -1
x = \frac{1 \pm  \sqrt{1 - 4(7)(-9)} }{2(7)}   Multiply 7 and -9
x = \frac{1 \pm  \sqrt{1 - 4(-63} }{2(7)}   Multiply -4 and -63
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x = \frac{1 \pm  \sqrt{253} }{14}   Split up the \pm
x = \left \{ {{ \frac{1 +  \sqrt{253} }{14} } \atop { \frac{1 -  \sqrt{253} }{14} }} \right.
The approximate square root of 253 is <span>15.905973.
</span>x ≈ \left \{ { \frac{1 + 15.905973}{14} } \atop { \frac{1 - 15.905973}{14} }} \right   Add and subtract
x ≈ \left \{ {{ \frac{16.905973}{14} } \atop { \frac{14.905973}{14} }} \right.   Divide
x ≈ \left \{ {{1.2075} \atop {1.0647}} \right.   Round to the nearest hundredth
x ≈ \left \{ {{1.21} \atop {1.06}} \right.

<span>
</span>
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Step-by-step explanation:

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Answer:

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