Place Value and Expanded Notation-Decimals

Front

What is place value?

Back

Place value is the value of a digit based on its position within a number, determining how much that digit contributes to the overall value of the number.

Front

How do you write a decimal number in standard form?

Back

A decimal number is written in standard form by placing the digits in their correct positions relative to the decimal point, with whole numbers to the left and fractional parts to the right.

Front

What is expanded notation?

Back

Expanded notation is a way of writing numbers to show the value of each digit. It breaks down a number into the sum of each digit multiplied by its place value.

Front

How is the number 0.72 expressed in word form?

Back

The number 0.72 is expressed in word form as 'seventy-two hundredths'.

Front

What is the value of the digit 8 in the number 7,802?

Back

In the number 7,802, the digit 8 is in the hundreds place, so its value is 800.

Front

What does the term 'thousandths' refer to in decimals?

Back

'Thousandths' refers to the third digit to the right of the decimal point, representing one part of a thousand.

Front

How do you convert a decimal to a fraction?

Back

To convert a decimal to a fraction, write the decimal as a fraction with the decimal number as the numerator and a power of ten as the denominator, then simplify if possible.

Front

What is the place value of the digit 7 in the number 456.007?

Back

In the number 456.007, the digit 7 is in the thousandths place.

Front

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

Back

To identify the place value of a digit in a decimal, count the number of places to the right of the decimal point: tenths, hundredths, thousandths, etc.

Front

What is the standard form of the number six and eighty-four thousandths?

Back

The standard form of the number six and eighty-four thousandths is 6.084.