What is the position of 7 in the number 876,543?
A. The tens place
B. The thousands place
C. The hundreds place
D. The ten-thousands place

Respuesta :

It is in D. The ten-thousands place. Because in order after a decimal it goes: Ones, Tens, Hundreds, Thousands, Ten-thousands, Hundred-thousands, Millions, Ten-millions, and so on. Hope it helped

Answer:

The answer is D. The ten-thousands place.

Step-by-step explanation:

The number 876,543 and it can be represented as follows:

800,000 + 70,000 + 6,000 + 500 + 40 + 3 = 876,543.

This is the Hindu-Arabic numeral system, where each following position is ten times greater in magnitude than the previous one, in other words, from right to left, each position represents the value of the number multiplied by a factor of 10 (ten times greater in magnitude than the previous one).

If we take the number 876,543 as an example, we can decompose the number as follows:

  • The number 3 is 3 x 10^0 = 3 (units).
  • The number 4 is 4 x 10^1 = 40 (tens place).
  • The number 5 is 5 x 10^2 = 500 (hundreds place).
  • The number 6 is 6 x 10^3 = 6,000 (thousands place).
  • The number 7 is 7 x 10^4 = 70,000 (ten-thousands place).
  • The number 8 is 8 x 10^5 = 800,000 (hundred-thousands place).

And we already know that the sum of all these numbers is 876,543.

So,  the position of 7 in the number 876,543 represents the ten-thousands place.  

Note that:

  • [tex]\\ 10^{0} = 1\\[/tex].
  • [tex]\\ 10^{1} = 10\\[/tex].
  • [tex]\\ 10^{2} = 100\\[/tex]
  • [tex]\\ 10^{3} = 1,000\\[/tex]
  • [tex]\\ 10^{4} = 10,000\\[/tex]
  • [tex]\\ 10^{5} = 100,000\\[/tex]
  • And so on.

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