Write the number 3.7 ×10^(-5) in standard form. Answer:

Understand Scientific Notation: Understand the meaning of scientific notation. Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form. It is written as the product of a number between 1 and 10 and a power of 10.Convert to Standard Form: Convert the scientific notation to standard form. To convert 3.7 × 10^(-5) to standard form, we need to move the decimal point 5 places to the left, because the exponent is -5.Moving Decimal Point: Moving the decimal point. Starting with 3.7, we move the decimal point 5 places to the left. Since there are not enough digits to the left of the decimal, we add zeros as placeholders. 3.7 → 0.37 → 0.037 → 0.0037 → 0.00037 → 0.000037Write in Standard Form: Write the number in standard form. After moving the decimal point 5 places to the left, we get the standard form of the number: 0.000037.

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Write the number
3.7 ×10^(-5) in standard form.
Answer:

Write the number $3.7 \times 10^{-5}$ in standard form. $\newline$ Answer:

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Grade 8

Convert between standard and scientific notation

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Q. Write the number

3.7 \times 10^{-5}

in standard form.

\newline

Answer:

Understand Scientific Notation: Understand the meaning of scientific notation. $\newline$ Scientific notation is a way of writing numbers that are too big or too small to be conveniently written in decimal form. It is written as the product of a number between $1$ and $10$ and a power of $10$ .
Convert to Standard Form: Convert the scientific notation to standard form. $\newline$ To convert $3.7 \times 10^{-5}$ to standard form, we need to move the decimal point $5$ places to the left, because the exponent is $-5$ .
Moving Decimal Point: Moving the decimal point. $\newline$ Starting with $3.7$ , we move the decimal point $5$ places to the left. Since there are not enough digits to the left of the decimal, we add zeros as placeholders. $\newline$ $3.7 \rightarrow 0.37 \rightarrow 0.037 \rightarrow 0.0037 \rightarrow 0.00037 \rightarrow 0.000037$
Write in Standard Form: Write the number in standard form. $\newline$ After moving the decimal point $5$ places to the left, we get the standard form of the number: $0.000037$ .