The planet Uranus is approximately 2,896,819,200,000 metres away from the Sun. What is this distance in standard form?

Solution:

Given, the planet Uranus is approximately 2,896,819,200,000 metres away from the Sun.

We have to find the distance in standard form.

Any number can be expressed as decimal numbers between 1 and 10 multiplied by a power of 10. This form of representation is termed as the standard form.

Now, 2,896,819,200,000 metres = 28968192 × 10⁵

= 2.8968192 × 10⁷ × 10⁵

Using law of exponents,

a^m × aⁿ = a^{m + n}

= 2.8968192 × 10^{7 + 5}

= 2.8968192 × 10¹² m

Therefore, the required standard form is 2.8968192 × 10¹² m.

✦ Try This: The planet Jupiter is approximately 7,293,817,900,000 metres away from the Sun. What is this distance in standard form?

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 12

NCERT Exemplar Class 8 Maths Chapter 8 Problem 132

The planet Uranus is approximately 2,896,819,200,000 metres away from the Sun. What is this distance in standard form?

Summary:

The planet Uranus is approximately 2,896,819,200,000 metres away from the Sun. The distance in standard form is 2.8968192 × 10¹² m.

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