Converting to Decimal Form
Convert to standard decimal form by applying the three-step procedure for converting scientific notation to decimal form.
- Determine the exponent: The exponent on is .
- Move the decimal point: Since the exponent is negative, shift the decimal point places to the left. Starting from , moving the decimal two places leftward passes the and requires an additional placeholder zero in front. The result is .
- Check: , and ✓.
Therefore, . This example illustrates a negative-exponent case: because the power of is negative, the decimal point moves to the left, producing a number smaller than the original coefficient.
0
1
Tags
OpenStax
Elementary Algebra @ OpenStax
Ch.6 Polynomials - Elementary Algebra @ OpenStax
Algebra
Math
Prealgebra
Related
Converting to Decimal Form
Converting to Decimal Form
A laboratory technician needs to convert a chemical concentration measurement from scientific notation into a standard decimal for a safety report. Arrange the steps in the correct order to perform this conversion.
An environmental safety officer is reviewing a report on particulate matter concentrations. To interpret a measurement written in scientific notation, the officer must convert it to standard decimal form. Arrange the steps of the conversion procedure in the correct order.
A quality control technician is documenting a component's thickness, which is listed as $6.1 \times 10^{-3}$ centimeters. To convert this value into standard decimal form, in which direction and how many places should the technician move the decimal point?
A laboratory technician is training a new hire on the standard operating procedure for converting scientific measurements from scientific notation into standard decimal form. Match each procedural component or rule with its correct application.
A project manager is reviewing a budget report where a projected cost is listed as $1.5 \times 10^6$ dollars. According to the standard conversion procedure, because the exponent is positive, the manager must move the decimal point six places to the ____.
Standard Procedure for Negative Exponents
A quality control technician is converting a precision measurement written in scientific notation to standard decimal form for a manufacturing log. According to the standard procedure, if the exponent on the power of 10 is negative, the technician should move the decimal point to the right to reach the correct decimal value.
Standard Operating Procedure for Decimal Conversion
Standard Operating Procedure for Decimal Conversion Documentation
A compliance officer is following the standard procedure to convert a precision measurement from scientific notation to standard decimal form for a safety report. According to the procedure, what should the officer do if the decimal point must be moved more places than there are available digits in the coefficient?
Converting and to Decimal Form
Learn After
A laboratory technician is recording the concentration of a chemical solution as 8.9 x 10^-2 grams per liter. Which of the following represents this concentration in standard decimal form?
A quality control inspector records a component's thickness as 8.9 x 10^-2 centimeters. To enter this measurement into a digital log that only accepts standard decimals, the inspector should record the value as ____ centimeters.
A laboratory technician needs to convert a chemical concentration of 8.9 × 10⁻² grams per liter into standard decimal form for a digital logbook. Arrange the following steps in the correct order to complete this conversion procedure.
A quality control inspector records a component's deviation as millimeters. True or False: This measurement is equivalent to millimeters in standard decimal form.
Decimal Conversion for Quality Assurance Logging
A technical documentation specialist is auditing a laboratory database for accuracy. Match each component of the scientific notation measurement with its corresponding role or equivalent value in the decimal conversion process.
Quality Audit: Standard Operating Procedure for Measurement Conversion
Wastewater Compliance Reporting
A technical documentation specialist is auditing a report that contains the measurement . To correctly convert this value to a standard decimal, which rule regarding the decimal point's movement must be followed?
A machinist is reading a technical specification listed as $8.9 \times 10^{-2} mm. To convert this value to the standard decimal form of $0.089, the machinist must follow a procedure that involves adding a zero to the left of the '8'. According to the standard conversion procedure, what is the specific term used for this added zero?