Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Jan 27, 2024

Rewrite the calculator display $3.35 \mathrm{E}-5$ in scientific notation.

STEP 1

Assumptions
1. The calculator display of $3.35 \mathrm{E}-5$ represents a number in scientific notation.
2. The "E" notation is commonly used in calculators to represent "times ten raised to the power of" in scientific notation.
3. The number after "E" represents the exponent to which 10 is raised.

STEP 2

Understand the meaning of the calculator notation $3.35 \mathrm{E}-5$ . The "E" stands for exponent and indicates that the number preceding it should be multiplied by $10$ raised to the power of the number following it.

STEP 3

Write the number in scientific notation using the definition from STEP_2.
$3.35 \mathrm{E}-5 = 3.35 \times 10^{-5}$

STEP 4

Verify that the number is now in proper scientific notation, which is the case here.
The number $3.35 \mathrm{E}-5$ in scientific notation is $3.35 \times 10^{-5}$ .

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