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Write the following in expanded notation. 2. Calculate the following.

Mathematics

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Answers

6 parts
a

1000 + 200 + 50 + 6\text{1000 + 200 + 50 + 6}

b

8000 + 100 + 5\text{8000 + 100 + 5}

c

5000 + 80 + 5\text{5000 + 80 + 5}

d

9000 + 400 + 50\text{9000 + 400 + 50}

e

6000 + 1\text{6000 + 1}

f

8000 + 20\text{8000 + 20}

Step-by-step solution

12 steps

Here are the expanded notations for the numbers in question 1:

1. Write the following in expanded notation.

Part a· 2 steps

For the number 1256

  1. Identify the place value of each digit.

    1 is in the thousands place (1×10001 \times 1000).
    2 is in the hundreds place (2×1002 \times 100).
    5 is in the tens place (5×105 \times 10).
    6 is in the ones place (6×16 \times 1).

  2. Write the sum of the values of each digit.

    1256=1000+200+50+61256 = 1000 + 200 + 50 + 6

    The expanded notation is 1000 + 200 + 50 + 6\boxed{\text{1000 + 200 + 50 + 6}}

Part b

8000 + 100 + 5\text{8000 + 100 + 5}

For the number 8105

  1. Identify the place value of each digit.

    8 is in the thousands place (8×10008 \times 1000).
    1 is in the hundreds place (1×1001 \times 100).
    0 is in the tens place (0×100 \times 10).
    5 is in the ones place (5×15 \times 1).

  2. Write the sum of the values of each digit.

    8105=8000+100+0+58105 = 8000 + 100 + 0 + 5

    The expanded notation is 8000 + 100 + 5\boxed{\text{8000 + 100 + 5}}

Part c

5000 + 80 + 5\text{5000 + 80 + 5}

For the number 5085

  1. Identify the place value of each digit.

    5 is in the thousands place (5×10005 \times 1000).
    0 is in the hundreds place (0×1000 \times 100).
    8 is in the tens place (8×108 \times 10).
    5 is in the ones place (5×15 \times 1).

  2. Write the sum of the values of each digit.

    5085=5000+0+80+55085 = 5000 + 0 + 80 + 5

    The expanded notation is 5000 + 80 + 5\boxed{\text{5000 + 80 + 5}}

Part d

9000 + 400 + 50\text{9000 + 400 + 50}

For the number 9450

  1. Identify the place value of each digit.

    9 is in the thousands place (9×10009 \times 1000).
    4 is in the hundreds place (4×1004 \times 100).
    5 is in the tens place (5×105 \times 10).
    0 is in the ones place (0×10 \times 1).

  2. Write the sum of the values of each digit.

    9450=9000+400+50+09450 = 9000 + 400 + 50 + 0

    The expanded notation is 9000 + 400 + 50\boxed{\text{9000 + 400 + 50}}

Part e

6000 + 1\text{6000 + 1}

For the number 6001

  1. Identify the place value of each digit.

    6 is in the thousands place (6×10006 \times 1000).
    0 is in the hundreds place (0×1000 \times 100).
    0 is in the tens place (0×100 \times 10).
    1 is in the ones place (1×11 \times 1).

  2. Write the sum of the values of each digit.

    6001=6000+0+0+16001 = 6000 + 0 + 0 + 1

    The expanded notation is 6000 + 1\boxed{\text{6000 + 1}}

Part f

8000 + 20\text{8000 + 20}

For the number 8020

  1. Identify the place value of each digit.

    8 is in the thousands place (8×10008 \times 1000).
    0 is in the hundreds place (0×1000 \times 100).
    2 is in the tens place (2×102 \times 10).
    0 is in the ones place (0×10 \times 1).

  2. Write the sum of the values of each digit.

    8020=8000+0+20+08020 = 8000 + 0 + 20 + 0

    The expanded notation is 8000 + 20\boxed{\text{8000 + 20}}

    For question 2, "Calculate the following", the examples provided (8000+100+7=81078000 + 100 + 7 = 8107 and 6000+200+80+5=62856000 + 200 + 80 + 5 = 6285) are already solved in the image. There are no further calculations requested.

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