Question

What is (4.81 times 10 Superscript 16 Baseline) (1.1 times 10 Superscript negative 4 Baseline) in scientific notation?

Answer 1

Given : $(4.81 \times 10 ^{16} \Baseline) (1.1 \times 10^{-4 })$

To Find : Equivalent  in scientific notation?

Solution:

Very large and very small numbers can be expressed in standard form.•

Standard form is also called scientific notation form

A number is written in scientific notation if it has the form c × 10ⁿ where

c ≥1,  c < 10, and n is an integer.

$(4.81 \times 10 ^{16} \Baseline) (1.1 \times 10^{-4 })$

= 4.81 x 10¹⁶ x 1.1 x 10⁻⁴

= 4.81 x 1.1 x 10¹⁶ x 10⁻⁴

= 5.291 x 10¹⁶ x 10⁻⁴

Using xᵃ. xᵇ = xᵃ⁺ᵇ

= 5.291 x 10¹⁶⁺⁽⁻⁴⁾

= 5.291 x 10¹⁶⁻⁴

= 5.291 x 10¹²

$(4.81 \times 10 ^{16} \Baseline) (1.1 \times 10^{-4 })$  = 5.291 x 10¹²

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