8 Questions
When rounding decimal numbers, what should be done if the rightmost place value is 4 or below?
Keep the number as is
What is typically done to shorten repeating or irrational numbers in decimal numbers?
Rounding
In the number 5,210.847, what is the place value of 5?
Thousands
What is added to the name of place values in decimal numbers as compared to whole numbers?
'ths'
What is pi usually rounded to?
$3.14$
When rounding to significant digits, what should be considered in the equation?
The placement of zeroes
In addition and subtraction, how is the final answer rounded?
To the lowest decimal place out of the numbers being added or subtracted
What determines accuracy in measurements and does not always align with decimal place values?
Significant digits
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.
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.
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