Math

Question Which statement about 8×258 \times \frac{2}{5} is false? A) Product < 8 B) Product > 1 C) Product > 25\frac{2}{5} D) Product > 8

Studdy Solution

STEP 1

Assumptions
1. We are evaluating the expression 8×258 \times \frac{2}{5}.
2. We are comparing the product of this expression to different numbers: 8, 1, 25\frac{2}{5}, and again 8.
3. We are looking to identify which statement about the product is false.

STEP 2

First, we need to calculate the product of 88 and 25\frac{2}{5}.
Product=8×25Product = 8 \times \frac{2}{5}

STEP 3

Perform the multiplication by multiplying the numerator of the fraction by the whole number and keeping the denominator the same.
Product=8×25Product = \frac{8 \times 2}{5}

STEP 4

Calculate the numerator of the fraction.
Product=165Product = \frac{16}{5}

STEP 5

Convert the improper fraction to a mixed number to better understand its value.
Product=315Product = 3 \frac{1}{5}

STEP 6

Now we can compare the product to the numbers given in the statements.
A. The product will be less than 8. B. The product will be greater than 1. C. The product will be greater than 25\frac{2}{5}. D. The product will be greater than 8.

STEP 7

Evaluate statement A: The product is 3153 \frac{1}{5}, which is less than 8. Therefore, statement A is true.

STEP 8

Evaluate statement B: The product is 3153 \frac{1}{5}, which is greater than 1. Therefore, statement B is true.

STEP 9

Evaluate statement C: The product is 3153 \frac{1}{5}, which is greater than 25\frac{2}{5}. Therefore, statement C is true.

STEP 10

Evaluate statement D: The product is 3153 \frac{1}{5}, which is not greater than 8. Therefore, statement D is false.
The false statement about the expression 8×258 \times \frac{2}{5} is D. The product will be greater than 8.

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