2.789 in word form and in expanded form

2.789 in word form and in expanded form

The Correct Answer and Explanation is:

The number 2.789 in word form is “two and seven hundred eighty-nine thousandths.”

In expanded form, it can be written as:
[
2 + 0.7 + 0.08 + 0.009
]

Explanation

When writing a decimal number in word form, it’s important to understand the place values after the decimal point. Each digit in 2.789 has a specific place value, which helps determine how to read and expand the number.

1. Whole Number Part: The number 2 is a whole number and is in the ones place. In word form, we start by saying “two.”
2. Decimal Point: After the whole number, we read the decimal point as “and.” This indicates that the numbers following it are fractional parts of a whole.
3. Decimal Part: Each digit to the right of the decimal has a decreasing place value:

• The first digit after the decimal, 7, is in the tenths place. This means it represents ( 7 \times 0.1 = 0.7 ).
• The second digit, 8, is in the hundredths place, representing ( 8 \times 0.01 = 0.08 ).
• The third digit, 9, is in the thousandths place, representing ( 9 \times 0.001 = 0.009 ).

Putting this all together, we get “two and seven hundred eighty-nine thousandths.”

In expanded form, each digit is broken down based on its place value. Expanded form helps to show the value each digit contributes to the overall number. Here’s how 2.789 breaks down:

• The 2 in the ones place is represented as 2.
• The 7 in the tenths place is represented as 0.7.
• The 8 in the hundredths place is represented as 0.08.
• The 9 in the thousandths place is represented as 0.009.

Thus, the expanded form of 2.789 is:
[
2 + 0.7 + 0.08 + 0.009
]

Understanding how to write decimals in word and expanded form is fundamental in math, especially in fields that require precision, such as finance, science, and engineering. By breaking down a number into its parts, we gain a clearer understanding of its value and the role each digit plays.