Expanded Form (Decimals)

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What is expanded form in relation to decimals?

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Expanded form is a way of expressing a number by showing the value of each digit. For decimals, it includes both whole numbers and fractional parts, such as (3 x 100) + (2 x 10) + (7 x 1) + (3 x 0.1) + (8 x 0.01) for the number 327.38.

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How do you convert a number from expanded form to word form?

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To convert from expanded form to word form, identify the value of each term and combine them into a verbal expression. For example, (4 x 100) + (4 x 10) + (3 x 1) + (8 x 0.1) + (1 x 0.01) translates to 'four hundred forty-three and eighty-one hundredths'.

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What is the standard form of a number?

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Standard form is the way of writing numbers using digits. For example, (5 x 10) + (3 x 1) + (8 x 1/10) is written in standard form as 53.8.

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How do you write a decimal number in expanded form?

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To write a decimal number in expanded form, break it down into the sum of each digit multiplied by its place value. For example, 'seven hundred fifty-five and twenty-eight hundredths' is written as (7 x 100) + (5 x 10) + (5 x 1) + (2 x 0.1) + (8 x 0.01).

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What does the term 'place value' mean in decimals?

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Place value refers to the value of a digit based on its position in a number. In decimals, the place values to the left of the decimal point are whole numbers (units, tens, hundreds), and to the right are fractional values (tenths, hundredths, thousandths).

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How do you identify the place value of a digit in a decimal number?

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To identify the place value of a digit in a decimal number, count the positions from the decimal point. For example, in 327.38, the '3' is in the hundreds place, '2' in the tens place, '7' in the units place, '3' in the tenths place, and '8' in the hundredths place.

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What is the significance of the decimal point in a number?

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The decimal point separates the whole number part from the fractional part of a number. It indicates that the digits to the right represent values less than one.

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How do you express a number in word form?

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To express a number in word form, write out each digit according to its place value. For example, 53.8 is expressed as 'fifty-three and eight tenths'.

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What is the expanded form of the number 6.84?

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The expanded form of 6.84 is (6 x 1) + (8 x 0.1) + (4 x 0.01).

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How do you convert a decimal number to expanded form?

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To convert a decimal number to expanded form, break it down into its whole number and decimal parts, multiplying each digit by its respective place value.