6 In each, expand the second number and then use the distributive property to find the answer. a \( 5 \times 46 \)
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To expand the second number, we can break down 46 into 40 and 6. Now, we rewrite the expression using the distributive property: \( 5 \times 46 = 5 \times (40 + 6) \). Now, distribute 5 to both terms: \( 5 \times 40 + 5 \times 6 \). Calculating these gives us \( 200 + 30 = 230 \). So, \( 5 \times 46 = 230 \). Want to see how this method can help in everyday situations? It's super handy for quickly estimating costs when shopping, like if you have 5 items that each cost around $46! Not only do you get the exact amount in the end, but you also find sales easier and faster! Plus, a common mistake here is forgetting to add the products after distribution. Always double-check your numbers before getting carried away! It's easy to say, "Oh, I know 5 times 6 is 30," but if you rush, you might forget the first part: \( 5 \times 40 = 200 \). Slow and steady wins the math race!