nyasia10707
Answered

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Estimate √50 to the hundredths place.

Sagot :

ververyconfused

Answer:

7.07

Step-by-step explanation:

chetankachana

Answer:

7.07

Step-by-step explanation:

Hello!

Let's find two perfect square numbers that are directly before and after 50.

  • [tex]\sqrt{49} < \sqrt{50} < \sqrt{64}[/tex]
  • [tex]7 < \sqrt{50} < 8[/tex]

Since the square of 7 is the closest, we can use that as our whole number.

To find the decimal...

49 is 1 away from 50, and 64 is 14 away. Rewriting it as a fraction and we get  [tex]\frac{1}{14}[/tex].  The decimal is 0.07142857142.

Now, put 7 and 0.07142857142 together and we get 7.07142857142. Rounding that, we get 7.07.

The real value of Root 50 is 7.071067811865475, so the decimals were really close.

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