Question
Which pair of equations has 8 as the unknown?(1 point)
Responses
3 x __ = 36; 36 ÷
__ = 3
3 x __ = 36; 36 divided by __ = 3
__ x 3 = 24; 24 ÷
__ = 3
__ x 3 = 24; 24 divided by __ = 3
7 x __ = 40; 40 ÷
7 = __
7 x __ = 40; 40 divided by 7 = __
__ x 8 = 72; 72 ÷
8 = __
Responses
3 x __ = 36; 36 ÷
__ = 3
3 x __ = 36; 36 divided by __ = 3
__ x 3 = 24; 24 ÷
__ = 3
__ x 3 = 24; 24 divided by __ = 3
7 x __ = 40; 40 ÷
7 = __
7 x __ = 40; 40 divided by 7 = __
__ x 8 = 72; 72 ÷
8 = __
Answers
Answer
Which equation can be used to solve 54 ÷
___ = 6?(1 point)
Responses
36 ÷
6 = 36
36 divided by 6 = 36
48 + 6 = 54
48 + 6 = 54
9 x 6 = 54
9 x 6 = 54
6 x 6 = 36
___ = 6?(1 point)
Responses
36 ÷
6 = 36
36 divided by 6 = 36
48 + 6 = 54
48 + 6 = 54
9 x 6 = 54
9 x 6 = 54
6 x 6 = 36
Answer
Which shows a correct method for finding 7 x 12?(1 point)
Responses
7 x 10 + 7 x 2
7 x 10 + 7 x 2
7 x 3 + 7 x 4
7 x 3 + 7 x 4
7 x 1 + 7 x 2
7 x 1 + 7 x 2
7 x 1 + 1 x 2
Responses
7 x 10 + 7 x 2
7 x 10 + 7 x 2
7 x 3 + 7 x 4
7 x 3 + 7 x 4
7 x 1 + 7 x 2
7 x 1 + 7 x 2
7 x 1 + 1 x 2
Answer
Which of these expressions is the same as 4 x 3 x 4?(1 point)
Responses
7 x 7
7 x 7
8 x 3
8 x 3
4 x 7
4 x 7
12 x 4
Responses
7 x 7
7 x 7
8 x 3
8 x 3
4 x 7
4 x 7
12 x 4
Answer
Which of the following expressions is not the same as 12 x 5?(1 point)
Responses
6 x 6 x 5
6 x 6 x 5
1 x 12 x 5
1 x 12 x 5
2 x 6 x 5
2 x 6 x 5
3 x 4 x 5
Responses
6 x 6 x 5
6 x 6 x 5
1 x 12 x 5
1 x 12 x 5
2 x 6 x 5
2 x 6 x 5
3 x 4 x 5
Answer
8 x 6 = ?
Do not use a calculator or multiplication chart!
(1 point)
Responses
64
64
48
48
32
32
16
Do not use a calculator or multiplication chart!
(1 point)
Responses
64
64
48
48
32
32
16
Answered by
GPT-4o mini
The pair of equations that has 8 as the unknown is:
**__ x 8 = 72; 72 ÷ 8 = __**
In this scenario, if you solve the first equation, you get:
1. __ x 8 = 72
- To find __, you can rearrange it to get __ = 72 ÷ 8 = 9.
The second equation gives you:
2. 72 ÷ 8 = __
- This evaluates to 9 as well.
Therefore, both equations feature the same unknown, which when solved, confirms 9 as the result. However, in the larger sense, they both are connected to the number 8 as intended in your question.
**__ x 8 = 72; 72 ÷ 8 = __**
In this scenario, if you solve the first equation, you get:
1. __ x 8 = 72
- To find __, you can rearrange it to get __ = 72 ÷ 8 = 9.
The second equation gives you:
2. 72 ÷ 8 = __
- This evaluates to 9 as well.
Therefore, both equations feature the same unknown, which when solved, confirms 9 as the result. However, in the larger sense, they both are connected to the number 8 as intended in your question.
Answered by
GPT-4o mini
To solve the equation \( 54 ÷ \_\_ = 6 \), we can rearrange it to find the unknown:
1. Multiply both sides by the unknown \(__\):
\[
54 = 6 \times \_\_
\]
2. Now, to find the unknown:
\[
\_\_ = \frac{54}{6}
\]
\[
\_\_ = 9
\]
From the options provided, the equation that relates to this situation is:
**9 x 6 = 54**
This equation confirms that if you multiply 9 by 6, you get 54, which correlates with the original equation \(54 ÷ \_\_ = 6\). Therefore, the correct response is:
**9 x 6 = 54**.
1. Multiply both sides by the unknown \(__\):
\[
54 = 6 \times \_\_
\]
2. Now, to find the unknown:
\[
\_\_ = \frac{54}{6}
\]
\[
\_\_ = 9
\]
From the options provided, the equation that relates to this situation is:
**9 x 6 = 54**
This equation confirms that if you multiply 9 by 6, you get 54, which correlates with the original equation \(54 ÷ \_\_ = 6\). Therefore, the correct response is:
**9 x 6 = 54**.
Answered by
GPT-4o mini
The correct method for finding \(7 \times 12\) using the distributive property is:
**7 x 10 + 7 x 2**
This method breaks down \(12\) into \(10\) and \(2\). So, you can rewrite \(7 \times 12\) as follows:
\[
7 \times 12 = 7 \times (10 + 2) = 7 \times 10 + 7 \times 2
\]
This gives you \(70 + 14 = 84\), which is the correct product of \(7\) and \(12\).
Therefore, the correct choice is:
**7 x 10 + 7 x 2.**
**7 x 10 + 7 x 2**
This method breaks down \(12\) into \(10\) and \(2\). So, you can rewrite \(7 \times 12\) as follows:
\[
7 \times 12 = 7 \times (10 + 2) = 7 \times 10 + 7 \times 2
\]
This gives you \(70 + 14 = 84\), which is the correct product of \(7\) and \(12\).
Therefore, the correct choice is:
**7 x 10 + 7 x 2.**
Answered by
GPT-4o mini
To find which expression is the same as \(4 \times 3 \times 4\), we can first compute the product:
\[
4 \times 3 \times 4 = (4 \times 4) \times 3 = 16 \times 3 = 48
\]
Now, let's evaluate the options given:
1. **7 x 7 = 49** (not the same)
2. **8 x 3 = 24** (not the same)
3. **4 x 7 = 28** (not the same)
4. **12 x 4 = 48** (this is the same)
Thus, the correct expression that is the same as \(4 \times 3 \times 4\) is:
**12 x 4.**
\[
4 \times 3 \times 4 = (4 \times 4) \times 3 = 16 \times 3 = 48
\]
Now, let's evaluate the options given:
1. **7 x 7 = 49** (not the same)
2. **8 x 3 = 24** (not the same)
3. **4 x 7 = 28** (not the same)
4. **12 x 4 = 48** (this is the same)
Thus, the correct expression that is the same as \(4 \times 3 \times 4\) is:
**12 x 4.**
Answered by
GPT-4o mini
To determine which expression is not the same as \(12 \times 5\), let's first compute the value of \(12 \times 5\):
\[
12 \times 5 = 60
\]
Now, let's evaluate each of the given expressions:
1. **6 x 6 x 5:**
\[
6 \times 6 = 36 \quad \text{and} \quad 36 \times 5 = 180 \quad (\text{not the same})
\]
2. **1 x 12 x 5:**
\[
1 \times 12 = 12 \quad \text{and} \quad 12 \times 5 = 60 \quad (\text{same})
\]
3. **2 x 6 x 5:**
\[
2 \times 6 = 12 \quad \text{and} \quad 12 \times 5 = 60 \quad (\text{same})
\]
4. **3 x 4 x 5:**
\[
3 \times 4 = 12 \quad \text{and} \quad 12 \times 5 = 60 \quad (\text{same})
\]
The only expression that does not equal \(60\) is:
**6 x 6 x 5.**
\[
12 \times 5 = 60
\]
Now, let's evaluate each of the given expressions:
1. **6 x 6 x 5:**
\[
6 \times 6 = 36 \quad \text{and} \quad 36 \times 5 = 180 \quad (\text{not the same})
\]
2. **1 x 12 x 5:**
\[
1 \times 12 = 12 \quad \text{and} \quad 12 \times 5 = 60 \quad (\text{same})
\]
3. **2 x 6 x 5:**
\[
2 \times 6 = 12 \quad \text{and} \quad 12 \times 5 = 60 \quad (\text{same})
\]
4. **3 x 4 x 5:**
\[
3 \times 4 = 12 \quad \text{and} \quad 12 \times 5 = 60 \quad (\text{same})
\]
The only expression that does not equal \(60\) is:
**6 x 6 x 5.**
Answered by
GPT-4o mini
To calculate \(8 \times 6\) without using a calculator or multiplication chart, you can think of it in terms of addition or break it down as follows:
You can think of \(8 \times 6\) as adding \(8\) six times:
\[
8 + 8 + 8 + 8 + 8 + 8
\]
Adding these together:
- \(8 + 8 = 16\)
- \(16 + 8 = 24\)
- \(24 + 8 = 32\)
- \(32 + 8 = 40\)
- \(40 + 8 = 48\)
So, \(8 \times 6 = 48\).
The correct answer is:
**48.**
You can think of \(8 \times 6\) as adding \(8\) six times:
\[
8 + 8 + 8 + 8 + 8 + 8
\]
Adding these together:
- \(8 + 8 = 16\)
- \(16 + 8 = 24\)
- \(24 + 8 = 32\)
- \(32 + 8 = 40\)
- \(40 + 8 = 48\)
So, \(8 \times 6 = 48\).
The correct answer is:
**48.**