Understanding Decimal Numbers
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Questions and Answers

What are decimal numbers?

  • Numbers that are multiples of ten
  • Numbers with both whole and fractional parts (correct)
  • Numbers that cannot be represented as fractions
  • Numbers with only whole parts
  • What is the place value to the right of the decimal point in 0.005?

  • Tenths
  • Hundredths
  • Ones
  • Thousandths (correct)
  • How are decimal numbers compared?

  • By arranging them in ascending order
  • By identifying which decimal represents a larger number (correct)
  • By finding the decimal with the smallest whole number part
  • By determining which decimal has more digits
  • What is the process for ordering decimal numbers from least to greatest?

    <p>Compare the numbers starting at the far left and move one spot to the right if the place value digits are the same.</p> Signup and view all the answers

    In the example, what is the largest number among 10.2, 9.06, 9.385, and 9.04?

    <p>10.2</p> Signup and view all the answers

    What is the next largest number after 10.2 in the example?

    <p>9.385</p> Signup and view all the answers

    How should decimal numbers be written for comparison according to the process described?

    <p>With the decimal points lined up.</p> Signup and view all the answers

    When ordering decimals, what should be done if the decimals have different numbers of digits?

    <p>Add zeroes to make the number of digits equal without changing the value</p> Signup and view all the answers

    How are decimal numbers compared when ordering them?

    <p>Write them with lined up decimal points and compare place values from left to right</p> Signup and view all the answers

    In the example provided, why is 8.019 considered larger than 8.03?

    <p>The hundredths place value is larger in 8.019 than in 8.03</p> Signup and view all the answers

    Study Notes

    • Ordering decimals involves lining up decimal points to compare place values, similar to adding and subtracting numbers.
    • Decimals with different numbers of digits should have zeroes added to make the number of digits equal, without changing the value.
    • To compare decimal numbers, write them with lined up decimal points and compare place values from left to right.
    • If the place values are the same in both numbers, move to the next place value to compare.
    • The number with the larger digit in the current place value is the larger number.
    • In the example provided, 8.019 is larger than 8.03 because the hundredths place value is larger in the first number.
    • In another example, 4.006, 4.13, 4.31, and 4.06 are put in order as 4.31, 4.13, 4.06, and 4.006 by lining up decimal points and comparing place values.

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    Description

    Test your knowledge of decimal numbers by learning about their representation and place value in the decimal system. Explore the concept of decimal numbers as parts of whole numbers and their relationship to place values.

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