4. Convert the following English sentences to mathematical statements. Write your final answers on

    the space provided.

The difference of nine and three is six.			      

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The sum of seven and two, diminished by seven is equal to two. 

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The quotient of twenty-one and five, less two is seven.	      

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The ratio of the sum of ten and five, and three is five.	      

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Five hundred less eight percent is four hundred sixty.	      

Let's convert these English sentences into mathematical statements:

1. **The difference of nine and three is six.**

   \[
   9 - 3 = 6
   \]

2. **The sum of seven and two, diminished by seven is equal to two.**

   \[
   (7 + 2) - 7 = 2
   \]

3. **The quotient of twenty-one and five, less two is seven.**

   \[
   \frac{21}{5} - 2 = 7
   \]

4. **The ratio of the sum of ten and five, and three is five.**

   \[
   \frac{10 + 5}{3} = 5
   \]

5. **Five hundred less eight percent is four hundred sixty.**

   \[
   500 - (0.08 \times 500) = 460
   \]

Would you like further clarification or additional details on any of these conversions? Here are five related questions:

1. How do you express "twice the sum of a number and five" as a mathematical expression?
2. What is the mathematical representation of "the product of a number and its square"?
3. Can you convert "the square of the difference of x and y is equal to z" into an equation?
4. How do you express "three times the difference of a number and four is twelve" mathematically?
5. What does "the reciprocal of a number" look like in a mathematical expression?

**Tip:** Pay attention to key words like "difference," "sum," "quotient," and "ratio" when converting sentences to equations. They indicate the mathematical operations involved.

Learn how to convert English sentences into mathematical statements with step-by-step examples. This problem covers arithmetic operations, equations, and ratios, suitable for students in Grades 6-8.

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