what is 4.089 in expanded form?
my answer was 00.489.
No.
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To write 4.089 in expanded form, you would separate each digit by its place value.
The decimal point separates the whole number part from the fractional part.
4 is in the ones place value, 0 is in the tenths place value, 8 is in the hundredths place value, and 9 is in the thousandths place value.
So, the expanded form of 4.089 would be:
4 + 0.1 + 0.08 + 0.009
To express a decimal number in expanded form, we can break it down into its place values.
In the case of 4.089, each digit represents a different place value:
- The digit 4 is in the thousands place (4 × 1000 = 4000).
- The digit 0 is in the hundreds place (0 × 100 = 0).
- The digit 8 is in the tens place (8 × 10 = 80).
- The digit 9 is in the ones place (9 × 1 = 9).
- The decimal point separates the whole number part from the fractional part.
- The digit 0 is in the tenths place (0 × 0.1 = 0).
- The digit 8 is in the hundredths place (8 × 0.01 = 0.08).
- The digit 9 is in the thousandths place (9 × 0.001 = 0.009).
Putting it all together, we can express 4.089 in expanded form as 4000 + 0 + 80 + 9 + 0 + 0.08 + 0.009, which simplifies to 4000 + 80 + 9 + 0.08 + 0.009.
Therefore, the expanded form of 4.089 is 4089.089.