## TOOL: EXPANDED FORM-NOTATION CALCULATOR

#### EXPANDED FORM-NOTATION CALCULATOR

Enter a positive number. 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) DESCRIPTIONS

Expanded Form:

➤ 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 In expanded form, a number is represented by the summation of the values of its digits. In expanded notation, value of each digit is expressed as the product of the digit with the corresponding place value. Alternatively, each place value can be replaced with a power 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 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 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 To check the expanded form of another number you can clear the input box by clicking on the CLEAR button under the input box.

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

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