Question
Write the following numbers in expanded form Example: \( \quad 7899 \) \[ \begin{array}{l} =7000+800+90+9 \\ =\quad(7 \times 1000)+(8 \times 100)+(9 \times 10)+(9+1) \\ =7 \mathrm{Th}+8 \mathrm{H}+9 \mathrm{~T}+9 \mathrm{U} \end{array} \] \[ 2136= \] \( \qquad \) \( = \) \( \qquad \) \( = \) \( \qquad \) \[ 6385= \] \( \qquad \) \[ = \] \( \qquad \) \( = \) \( \qquad \) \[ 3042= \] \( \qquad \) \( = \) \( \qquad \) \( = \) \( \qquad \)
Ask by Hall Reed. in South Africa
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Here are the numbers written in expanded form:
- \( 2136 = 2000 + 100 + 30 + 6 = (2 \times 1000) + (1 \times 100) + (3 \times 10) + (6 \times 1) = 2 \mathrm{Th} + 1 \mathrm{H} + 3 \mathrm{T} + 6 \mathrm{U} \)
- \( 6385 = 6000 + 300 + 80 + 5 = (6 \times 1000) + (3 \times 100) + (8 \times 10) + (5 \times 1) = 6 \mathrm{Th} + 3 \mathrm{H} + 8 \mathrm{T} + 5 \mathrm{U} \)
- \( 3042 = 3000 + 0 + 40 + 2 = (3 \times 1000) + (0 \times 100) + (4 \times 10) + (2 \times 1) = 3 \mathrm{Th} + 0 \mathrm{H} + 4 \mathrm{T} + 2 \mathrm{U} \)
Solution
Let's write the numbers \( 2136 \), \( 6385 \), and \( 3042 \) in expanded form step by step.
### For \( 2136 \):
1. **Identify the place values**:
- \( 2 \) is in the thousands place.
- \( 1 \) is in the hundreds place.
- \( 3 \) is in the tens place.
- \( 6 \) is in the units place.
2. **Write in expanded form**:
\[
2136 = 2000 + 100 + 30 + 6
\]
3. **Express using multiplication**:
\[
= (2 \times 1000) + (1 \times 100) + (3 \times 10) + (6 \times 1)
\]
4. **Label the place values**:
\[
= 2 \mathrm{Th} + 1 \mathrm{H} + 3 \mathrm{T} + 6 \mathrm{U}
\]
### For \( 6385 \):
1. **Identify the place values**:
- \( 6 \) is in the thousands place.
- \( 3 \) is in the hundreds place.
- \( 8 \) is in the tens place.
- \( 5 \) is in the units place.
2. **Write in expanded form**:
\[
6385 = 6000 + 300 + 80 + 5
\]
3. **Express using multiplication**:
\[
= (6 \times 1000) + (3 \times 100) + (8 \times 10) + (5 \times 1)
\]
4. **Label the place values**:
\[
= 6 \mathrm{Th} + 3 \mathrm{H} + 8 \mathrm{T} + 5 \mathrm{U}
\]
### For \( 3042 \):
1. **Identify the place values**:
- \( 3 \) is in the thousands place.
- \( 0 \) is in the hundreds place.
- \( 4 \) is in the tens place.
- \( 2 \) is in the units place.
2. **Write in expanded form**:
\[
3042 = 3000 + 0 + 40 + 2
\]
3. **Express using multiplication**:
\[
= (3 \times 1000) + (0 \times 100) + (4 \times 10) + (2 \times 1)
\]
4. **Label the place values**:
\[
= 3 \mathrm{Th} + 0 \mathrm{H} + 4 \mathrm{T} + 2 \mathrm{U}
\]
### Summary:
- For \( 2136 \):
\[
2136 = 2000 + 100 + 30 + 6 = (2 \times 1000) + (1 \times 100) + (3 \times 10) + (6 \times 1) = 2 \mathrm{Th} + 1 \mathrm{H} + 3 \mathrm{T} + 6 \mathrm{U}
\]
- For \( 6385 \):
\[
6385 = 6000 + 300 + 80 + 5 = (6 \times 1000) + (3 \times 100) + (8 \times 10) + (5 \times 1) = 6 \mathrm{Th} + 3 \mathrm{H} + 8 \mathrm{T} + 5 \mathrm{U}
\]
- For \( 3042 \):
\[
3042 = 3000 + 0 + 40 + 2 = (3 \times 1000) + (0 \times 100) + (4 \times 10) + (2 \times 1) = 3 \mathrm{Th} + 0 \mathrm{H} + 4 \mathrm{T} + 2 \mathrm{U}
\]
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Simplify this solution Mind Expander
\[ 2136= \] \( =2000+100+30+6 \) \( =(2 \times 1000)+(1 \times 100)+(3 \times 10)+(6 \times 1) \) \[ =2 \mathrm{Th}+1 \mathrm{H}+3 \mathrm{T}+6 \mathrm{U} \] \[ 6385= \] \( =6000+300+80+5 \) \( =(6 \times 1000)+(3 \times 100)+(8 \times 10)+(5 \times 1) \) \[ =6 \mathrm{Th}+3 \mathrm{H}+8 \mathrm{T}+5 \mathrm{U} \] \[ 3042= \] \( =3000+0+40+2 \) \( =(3 \times 1000)+(0 \times 100)+(4 \times 10)+(2 \times 1) \) \[ =3 \mathrm{Th}+0 \mathrm{H}+4 \mathrm{T}+2 \mathrm{U} \]
