Final answer:
To write a number in expanded form, we represent each digit in terms of its place value. For example, 9.001 in expanded form is 9000 + 0 + 0 + 1, which equals 9001. And 10.298 in expanded form is 10 + 0 + 0.2 + 0.09 + 0.008.
Step-by-step explanation:
To write 9.001 in expanded form, we need to represent each digit in terms of its place value. The digit 9 is in the thousands place, so it can be written as 9 × 1000. The digit 0 is in the hundreds place, so it can be ignored. The digit 0 is in the tens place, so it can be ignored. The digit 1 is in the ones place, so it can be written as 1 × 1. Combining these terms, we get 9 × 1000 + 0 × 100 + 0 × 10 + 1 × 1. Simplifying further, we have 9000 + 0 + 0 + 1, which equals 9001. Therefore, the expanded form of 9.001 is 9001.
To write 10.298 in expanded form, we need to represent each digit in terms of its place value. The digit 1 is in the tens place, so it can be written as 1 × 10. The digit 0 is in the ones place, so it can be ignored. The digit 2 is in the tenths place, so it can be written as 2 × 0.1. The digit 9 is in the hundredths place, so it can be written as 9 × 0.01. The digit 8 is in the thousandths place, so it can be written as 8 × 0.001. Combining these terms, we get 1 × 10 + 0 × 1 + 2 × 0.1 + 9 × 0.01 + 8 × 0.001. Simplifying further, we have 10 + 0 + 0.2 + 0.09 + 0.008, which equals 10.298. Therefore, the expanded form of 10.298 is 10 + 0 + 0.2 + 0.09 + 0.008.