Express 367900 in standard form.
Understand the Problem
The question asks to express the number 367900 in standard form (scientific notation).
Answer
3. 679 x $10^5$
Answer for screen readers
B. 3.679 x $10^5$
Steps to Solve
- Write the number
Write down the number we want to express in standard form: 367900.
- Move the decimal point
Move the decimal point to the left until there is only one non-zero digit to the left of the decimal point. In this case, we move the decimal point 5 places to the left: 3.67900 which is 3.679
- Determine the exponent
The number of places we moved the decimal point is the exponent of 10 in the standard form. Since we moved the decimal point 5 places to the left, the exponent is 5.
- Write in standard form
Write the number in standard form as $3.679 \times 10^5$.
B. 3.679 x $10^5$
More Information
Standard form, also known as scientific notation, is a way of expressing numbers that are too big or too small to be conveniently written in decimal form. It is commonly used in science and engineering.
Tips
A common mistake is miscounting the number of places the decimal point is moved. It's important to carefully count each place to ensure the correct exponent is used. Another common mistake is to move the decimal point in the wrong direction, which would result in a negative exponent. Also, one might forget to drop the trailing zeros after moving the decimal point.
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