Which of the following statements is true?
[tex]$10 \times \frac{7}{2}$[/tex]
A. The product will be less than 10.
B. The product will be greater than 10.
C. The product will be equal to 10.
Answer (2)
Calculate the product of 10 and 2 7 , which equals 35 .
Compare the result, 35 , with 10 .
Determine that 35 is greater than 10 .
Conclude that the statement 'The product will be greater than 10' is true. The product will be greater than 10
Explanation
Understanding the Problem We are given the expression 10 × 2 7 and three statements about its value. We need to determine which statement is true.
Calculating the Value First, let's calculate the value of the expression: 10 × 2 7 = 2 10 × 7 = 2 70 = 35
Comparing with 10 Now, let's compare the calculated value (35) with 10.
Statement 1: The product will be less than 10. This is false because 35 > 10.
Statement 2: The product will be greater than 10. This is true because 35 > 10.
Statement 3: The product will be equal to 10. This is false because 35 eq 10.
Determining the True Statement Therefore, the true statement is: The product will be greater than 10.
Examples
Understanding multiplication and fractions is crucial in everyday situations, such as when you're scaling a recipe. For instance, if a recipe calls for 2 7 cups of flour and you want to make 10 times the recipe, you need to calculate 10 × 2 7 . Knowing that this equals 35 cups helps you measure the correct amount of flour, ensuring your dish turns out perfectly. This skill is also useful in calculating costs when buying items in bulk or determining distances on a map.
The product of 10 × 2 7 is 35, which is greater than 10. Therefore, the true statement is that the product will be greater than 10. The correct answer is option B.
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