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Write the following values, expressing each number in its place value and expanded form.

Mathematics

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Step-by-step solution

8 steps

Here are the place value and expanded forms for each number:

  1. For 486.279
  1. Identify the place value of each digit.

    *   4 is in the hundreds place.
    *   8 is in the tens place.
    *   6 is in the ones place.
    *   2 is in the tenths place.
    *   7 is in the hundredths place.
    *   9 is in the thousandths place.
    
  2. Write the number in expanded form.

    $$
    \boxed{4 \times 100 + 8 \times 10 + 6 \times 1 + 2 \times \frac{1}{10} + 7 \times \frac{1}{100} + 9 \times \frac{1}{1000}}
    $$
    

    2. For 12.40

  3. Identify the place value of each digit.

    *   1 is in the tens place.
    *   2 is in the ones place.
    *   4 is in the tenths place.
    *   0 is in the hundredths place.
    
  4. Write the number in expanded form.

    $$
    \boxed{1 \times 10 + 2 \times 1 + 4 \times \frac{1}{10}}
    $$
    

    3. For 8945.90

  5. Identify the place value of each digit.

    *   8 is in the thousands place.
    *   9 is in the hundreds place.
    *   4 is in the tens place.
    *   5 is in the ones place.
    *   9 is in the tenths place.
    *   0 is in the hundredths place.
    
  6. Write the number in expanded form.

    $$
    \boxed{8 \times 1000 + 9 \times 100 + 4 \times 10 + 5 \times 1 + 9 \times \frac{1}{10}}
    $$
    

    4. For 2.7534

  7. Identify the place value of each digit.

    *   2 is in the ones place.
    *   7 is in the tenths place.
    *   5 is in the hundredths place.
    *   3 is in the thousandths place.
    *   4 is in the ten-thousandths place.
    
  8. Write the number in expanded form.

    $$
    \boxed{2 \times 1 + 7 \times \frac{1}{10} + 5 \times \frac{1}{100} + 3 \times \frac{1}{1000} + 4 \times \frac{1}{10000}}
    $$
    
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