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a googol is a large number that is the digit 1 followed by one hundred zeros. if you multiply a googol by 100, how many zeros will that product have? please answer this I Lagitlamently had to put 100 zeros on the calculator!!!!!!!!!

Respuesta :

ThatGuy56

In order to determine the number of zeros defined by 1 googol multiplied by 100 let's look at a simpler idea.

1 x 100 (2 zeros) = 100 (2 zeros)

(1 zero) x (2 zeros) = (3 zeros)

(4 zeros)

Notice that the number of zeros in the product will be the sum of the number of zeros in the factors.

1000 x 1000 = 1,000,000 (6 zeros)

Therefore googol (100 zeros) multiplied by 100 would have 102 zeros
fichoh

The Number of Zeros produced by multiplying 1 googol by 100 is 102

Defining a googol :

  • 1 googol = 1 ; then hundred Zeros

Hence,

  • 1 googol has a hundred zero digits

In scientific notation :

  • [tex]1 \: googol \: = 1 \times {10}^{100} [/tex]

Multiplying 1 googol by 100

  • 100 = 1 × 10²
  • [tex](1 \times {10}^{100}) \times {10}^{2} [/tex]

From indices :

  • [tex] {1 \times 10}^{100} \times {10}^{2} = 1 \times {10}^{(100 + 2)} = {10}^{102} [/tex]

Therefore, the final Number of Zeros will be 102.

Learn more : https://brainly.com/question/1723559

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