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Which number is the best estimate of 866,214,000,000?

9 × [tex]10^{11}[/tex]

8 × [tex]10^{11}[/tex]

10 × [tex]11^{10[/tex]

[tex]8^{-11}[/tex] × 10

Respuesta :

Answer: 9 × 10^11

Step-by-step explanation:

An index number is simply referred to a number that is being raised to a particular power or index which tells us the amount of times the number will be multiplied by itself. An example is 10³ which means we have to multiply 10 thrice and this will be:

= 10 × 10 × 10

= 1000

For 866,214,000,000, this can be expressed as:

= 8.66214 × 10^11

We should note that 8.66214 can be changed to the nearest whole number which will be approximated to 9.

Therefore, the answer will be:

= 9 × 10^11

Using rounding and scientific notation, it is found that the best estimate of 866,214,000,000 is: [tex]\mathbf{9 \times 10^{11}}[/tex]

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  • The number is 866,214,000,000.
  • First, we round it. The second digit is 6 > 5, thus, we add one to the first digit, 1 + 8 = 9, and the rounded estimate for the number is: 900,000,000,000.
  • After the 9, the number has 11 zeros, which means that in scientific notation, the estimate is given by:

[tex]\mathbf{9 \times 10^{11}}[/tex]

Which is the first option.

A similar problem is given at https://brainly.com/question/16394306

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