Question
25 Show the distributive property to calculate the following \( \begin{aligned} 78 \times 99 & = \\ & =\text { } \\ & = \\ & =\end{aligned} \)
Ask by Hart Washington. in South Africa
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 78 \times 99 = 7722 \)
Solution
\( 78 \times 99 = 78 \times (100 - 1) \)
\( = 78 \times 100 - 78 \times 1 \)
\( = 7800 - 78 \)
\( = 7722 \)
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Extra Insights
To calculate \( 78 \times 99 \) using the distributive property, we can break down \( 99 \) into \( 100 - 1 \). So, we can rewrite the equation as: \( 78 \times 99 = 78 \times (100 - 1) \). Now, applying the distributive property: \( 78 \times 99 = 78 \times 100 - 78 \times 1 \) \( = 7800 - 78 \) Finally, we calculate: \( 7800 - 78 = 7722 \). Thus, \( 78 \times 99 = 7722 \).