The age of the universe is thought to be about 14 billion years. Assuming two significant figures, write this in powers of ten in (a) years and (b) seconds.

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The age of the universe is 1.4 x 10⁹ years or 4.4 x 10¹⁶ seconds.

What is significant figure?

Significant figures are used to establish the number which is presented in the form of digits.

14 billion years to years

14 billion years = 14,000,000,000 years

in two significant figure = 1.4 x 10⁹ years

14 billion years to seconds

1 year = 3.154 x 10⁷ seconds

1.4 x 10⁹ years = ?

= 1.4 x 10⁹ x 3.154 x 10⁷

= 4.4 x 10¹⁶ seconds

Thus, the age of the universe is 1.4 x 10⁹ years or 4.4 x 10¹⁶ seconds.

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