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A facility that produces sugar sells 3 billion 720 million kg of sugar annually. Put this amount in standard form.

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3.72 \times 1 0^{- 6} {kg}^{}

3.72 \times 1 0^{- 5} {kg}^{}

3.72 \times 1 0^{6} {kg}^{}

3.72 \times 1 0^{5} {kg}^{}

answer is C.

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Detailed Solution

It is given a facility produces sugar sells 3 billion 720 million kg of sugar annually.
In exponents the standard form of a number is written as a decimal number between and, multiplied by power of 10.
Mathematically,3 billion 720 million in numbers

⇒ 3720000 = 372 × 10000 k g

Representing equation in the exponent form

⇒ 3720000 = 372 × 104 k g

Presenting the expression in usual form

⇒ 3720000 = 372 × 100100 × 104

⇒ 3720000 = 3.72 × 100 × 104

⇒ 3720000 = 3.72 × 102 × 104

kg
Using the exponent law,

a m × a n = a m + n

⇒ 3720000 = 3.72 × 10 2 + 4 k g

⇒ 3720000 = 3.72 × 106 k g

Therefore, the standard form of 3 billion 720 million kg is

3.72 × 106 k g

.
Hence option (3) is correct.

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