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Answer :
To solve this problem, we need to translate the written statement into a mathematical equation. Let's break it down step-by-step:
1. Identify the Components:
- "Seven times": This suggests multiplication by 7.
- "The difference between 35.8 and a number": This means subtracting a number (let's call it [tex]\( m \)[/tex]) from 35.8. So, mathematically, this is represented as [tex]\( (35.8 - m) \)[/tex].
2. Putting it together:
- We take the expression for the difference, which is [tex]\( (35.8 - m) \)[/tex], and multiply it by 7. This is written as [tex]\( 7 \times (35.8 - m) \)[/tex].
- The rest of the statement says this is "equal to 53.4," which completes our equation as [tex]\( 7(35.8 - m) = 53.4 \)[/tex].
3. Choose the Correct Equation:
- Among the options provided, we need to find the one that matches the equation we just formulated:
- [tex]\( 7(35.8)-m=53.4 \)[/tex]
- [tex]\( 7(35.8-m)=53.4 \)[/tex]
- [tex]\( 7(m-35.8)=53.4 \)[/tex]
- [tex]\( 7 m-35.8=53.4 \)[/tex]
- The correct option is [tex]\( 7(35.8 - m) = 53.4 \)[/tex].
Therefore, the equation that represents the written description is [tex]\( 7(35.8-m)=53.4 \)[/tex].
1. Identify the Components:
- "Seven times": This suggests multiplication by 7.
- "The difference between 35.8 and a number": This means subtracting a number (let's call it [tex]\( m \)[/tex]) from 35.8. So, mathematically, this is represented as [tex]\( (35.8 - m) \)[/tex].
2. Putting it together:
- We take the expression for the difference, which is [tex]\( (35.8 - m) \)[/tex], and multiply it by 7. This is written as [tex]\( 7 \times (35.8 - m) \)[/tex].
- The rest of the statement says this is "equal to 53.4," which completes our equation as [tex]\( 7(35.8 - m) = 53.4 \)[/tex].
3. Choose the Correct Equation:
- Among the options provided, we need to find the one that matches the equation we just formulated:
- [tex]\( 7(35.8)-m=53.4 \)[/tex]
- [tex]\( 7(35.8-m)=53.4 \)[/tex]
- [tex]\( 7(m-35.8)=53.4 \)[/tex]
- [tex]\( 7 m-35.8=53.4 \)[/tex]
- The correct option is [tex]\( 7(35.8 - m) = 53.4 \)[/tex].
Therefore, the equation that represents the written description is [tex]\( 7(35.8-m)=53.4 \)[/tex].
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