Let's solve for the place value of each digit in the given numbers step-by-step:
### 1. Number: 1.1
1. For the first decimal place (tenths place):
The digit is 1. Thus, the place value is:
[tex]\[
\text{1} \times 0.1 = 0.1
\][/tex]
### 2. Number: 0.8963
1. For the first decimal place (tenths place):
The digit is 8. Thus, the place value is:
[tex]\[
\text{8} \times 0.1 = 0.8
\][/tex]
2. For the second decimal place (hundredths place):
The digit is 9. Thus, the place value is:
[tex]\[
\text{9} \times 0.01 = 0.09
\][/tex]
3. For the third decimal place (thousandths place):
The digit is 6. Thus, the place value is:
[tex]\[
\text{6} \times 0.001 = 0.006
\][/tex]
4. For the fourth decimal place (ten-thousandths place):
The digit is 3. Thus, the place value is:
[tex]\[
\text{3} \times 0.0001 = 0.0003
\][/tex]
### 3. Number: 2.367892
1. For the first decimal place (tenths place):
The digit is 3. Thus, the place value is:
[tex]\[
\text{3} \times 0.1 = 0.3
\][/tex]
2. For the second decimal place (hundredths place):
The digit is 6. Thus, the place value is:
[tex]\[
\text{6} \times 0.01 = 0.06
\][/tex]
3. For the third decimal place (thousandths place):
The digit is 7. Thus, the place value is:
[tex]\[
\text{7} \times 0.001 = 0.007
\][/tex]
4. For the fourth decimal place (ten-thousandths place):
The digit is 8. Thus, the place value is:
[tex]\[
\text{8} \times 0.0001 = 0.0008
\][/tex]
5. For the fifth decimal place (hundred-thousandths place):
The digit is 9. Thus, the place value is:
[tex]\[
\text{9} \times 0.00001 = 0.00009
\][/tex]
6. For the sixth decimal place (millionths place):
The digit is 2. Thus, the place value is:
[tex]\[
\text{2} \times 0.000001 = 0.000002
\][/tex]
### Summary:
- For the number 1.1, the place value is [tex]\(0.1\)[/tex].
- For the number 0.8963:
- Tenths place value: [tex]\(0.8\)[/tex]
- Hundredths place value: [tex]\(0.09\)[/tex]
- Thousandths place value: [tex]\(0.006\)[/tex]
- Ten-thousandths place value: [tex]\(0.0003\)[/tex]
- For the number 2.367892:
- Tenths place value: [tex]\(0.3\)[/tex]
- Hundredths place value: [tex]\(0.06\)[/tex]
- Thousandths place value: [tex]\(0.007\)[/tex]
- Ten-thousandths place value: [tex]\(0.0008\)[/tex]
- Hundred-thousandths place value: [tex]\(0.00009\)[/tex]
- Millionths place value: [tex]\(0.000002\)[/tex]
