Podcast
Questions and Answers
When rounding decimal numbers, what should be done if the rightmost place value is 4 or below?
When rounding decimal numbers, what should be done if the rightmost place value is 4 or below?
- Add 1 to the number
- Round up to the nearest whole number
- Subtract 1 from the number
- Keep the number as is (correct)
What is typically done to shorten repeating or irrational numbers in decimal numbers?
What is typically done to shorten repeating or irrational numbers in decimal numbers?
- Rounding (correct)
- Dividing
- Adding
- Multiplying
In the number 5,210.847, what is the place value of 5?
In the number 5,210.847, what is the place value of 5?
- Tens
- Thousands (correct)
- Ones
- Hundreds
What is added to the name of place values in decimal numbers as compared to whole numbers?
What is added to the name of place values in decimal numbers as compared to whole numbers?
What is pi usually rounded to?
What is pi usually rounded to?
When rounding to significant digits, what should be considered in the equation?
When rounding to significant digits, what should be considered in the equation?
In addition and subtraction, how is the final answer rounded?
In addition and subtraction, how is the final answer rounded?
What determines accuracy in measurements and does not always align with decimal place values?
What determines accuracy in measurements and does not always align with decimal place values?
Study Notes
- Rounding decimals involves identifying the place value to be rounded to and determining whether the digit should be rounded up or down based on the next place value
- Significant digits determine accuracy in measurements and do not always align with decimal place values
- Zeroes are not always significant: a blue zero with a lit candle on top refers to a significant digit, while insignificant zeroes are not counted
- When rounding to significant digits, we need to consider the placement of zeroes in the equation
- In addition and subtraction, the final answer is rounded to the lowest decimal place out of the numbers being added or subtracted
- In multiplication and division, numbers are rounded to the least number of significant digits, not rounded until the operation is complete
- Examples of rounding decimals include: 0.037 to the nearest hundredths, 4,820.70491 to the nearest thousandths, 0.0287 to 2 significant digits, 6.39 + 0.026 + 1.2, 6.007 x 200 x 8.5, and (10.90 - 0.002) x 3.008. In each example, the final answer is rounded according to the rules above.
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Description
Test your knowledge on rounding decimal numbers with this quiz. Learn how to round decimal numbers to a specific place value and practice rounding decimals to the nearest whole number.
