Solution - Scientific notation/Standard form

4 \cdot 10^{0}

4*10^0

See steps

Step-by-step explanation

1. Define the power of 10

The absolute value of 4 is between 1 and 10, so the original number stays the same because the power of 10 is 1 and 0 is the exponent.

$10^{0}$

2. Final result

$4 \cdot 10^{0}$

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Why learn this

Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is $1.898 \cdot 10^{27}$ kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.

Terms and topics

Scientific notation