BASIC MATH CALCULATORS


TOOL: EXPANDED FORM-NOTATION CALCULATOR


EXPANDED FORM-NOTATION CALCULATOR

Enter a positive number.

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RESULTS

➤ Expanded Form:

753.2 = 700 + 50 + 3 + 0.2

➤ Expanded Notation:

753.2 = (7 × 100) + (5 × 10) + (3 × 1) + (2 × 0.1)

➤ Expanded Notation Using Powers of 10:

753.2 = (7 × 102) + (5 × 101) + (3 × 100) + (2 × 10-1)

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DESCRIPTIONS

Expanded Form:

20.2.335507700Values of Digits:2.357

➤ From left to right, values of the digits in 753.2 are 700, 50, 3, and 0.2. Summation of these values equals the expanded form.

753.2 = 700 + 50 + 3 + 0.2


Expanded Notation:

➤ Value of a digit can be written as the multiplication of that digit with the corresponding place value.

  • 700 = (7 × 100)
  • 50 = (5 × 10)
  • 3 = (3 × 1)
  • 0.2 = (2 × 0.1)

Summation of these multiplications equals the expanded notation.

753.2 = (7 × 100) + (5 × 10) + (3 × 1) + (2 × 0.1)


Expanded Notation Using Powers of 10:

➤ In the expanded notation, we can replace each place value with its representation by powers of 10.

753.2 = (7 × 102) + (5 × 101) + (3 × 100) + (2 × 10-1)

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INFORMATION

EXPANDED FORM AND EXPANDED NOTATION

Values of digits

In expanded form, a number is represented by the summation of the values of its digits.

Expanded Form

In expanded notation, value of each digit is expressed as the product of the digit with the corresponding place value.

Expanded Notation

Alternatively, each place value can be replaced with a power of 10.

Expanded Notation with powers of 10

WHAT IS EXPANDED FORM-NOTATION CALCULATOR?

Expanded form-notation calculator

  • Finds

    • the expanded form,
    • the expanded notation and
    • the expanded notation using powers of 10

    of the entered number,

  • Illustrates the place values graphically and
  • Describes all solution steps.

HOW TO USE THE EXPANDED FORM-NOTATION CALCULATOR?

You can use the expanded form-notation calculator in two ways.

  • USER INPUTS

    Calculate button

    You can enter a number to the input box and click on the "CALCULATE" button. The results and explanations appaer below the calculator

  • RANDOM INPUTS

    random button

    You can click on the DIE ICON next to the input box. If you use this property, a random number is generated and entered to the calculator, automatically. You can see the result and explanations below the calculator. You can create your own examples and practice using this property.

  • CLEARING THE INPUT BOX

    Clear button

    To check the expanded form of another number you can clear the input box by clicking on the CLEAR button under the input box.

  • COPYING & DOWNLOADING THE SOLUTION

    • Copy Link

      You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.

    • Download Link

      Even you can download the solution as an image file with .jpg extension if you click on the "Download Solution" link at the bottom of the solution panel. You can share the downloaded image file.

 

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