Select all the expressions that are equal to \( 0.8 \times 0.07 \) \( \begin{array}{lll}\text { (A) } \frac{8}{10} \times \frac{7}{100} & \text { (D) } \frac{7}{100} \times \frac{80}{100} \\ \text { (B) } \frac{80}{100} \times \frac{7}{10} & \text { (E) } \frac{7}{100} \times \frac{8}{100} \\ \text { (C) } \frac{8}{10} \times \frac{7}{10} & \end{array} \)
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To determine which expressions are equal to \(0.8 \times 0.07\), we can simplify each option. First, let's compute \(0.8 \times 0.07\): \[ 0.8 = \frac{8}{10}, \quad 0.07 = \frac{7}{100} \Rightarrow 0.8 \times 0.07 = \frac{8}{10} \times \frac{7}{100} = \frac{8 \times 7}{10 \times 100} = \frac{56}{1000} = 0.056 \] Now let's analyze each option: **(A)** \(\frac{8}{10} \times \frac{7}{100} = \frac{56}{1000}\) (equal to \(0.056\)) **(B)** \(\frac{80}{100} \times \frac{7}{10} = 0.8 \times 0.7 = 0.56\) (not equal to \(0.056\)) **(C)** \(\frac{8}{10} \times \frac{7}{10} = 0.8 \times 0.7 = 0.56\) (not equal to \(0.056\)) **(D)** \(\frac{7}{100} \times \frac{80}{100} = \frac{560}{10000} = 0.056\) (equal to \(0.056\)) **(E)** \(\frac{7}{100} \times \frac{8}{100} = \frac{56}{10000} = 0.0056\) (not equal to \(0.056\)) So, the expressions that are equal to \(0.8 \times 0.07\) are: \((A)\) and \((D)\) which both equal \(0.056\).
