How would you break down 40% to find 40% of a number? Check all that apply.
To determine which expressions correctly represent 40% of a number, we analyze each of the provided options by calculating the total percentage value for each one. A percentage \(x\%\) of a number \(N\) can be expressed as \(\frac{x}{100} \times N\). When breaking down percentages, we need the sum of the components to equal 40%.
We evaluate each option individually:
Based on the evaluation, the expressions that correctly represent 40% are \(4(10\%)\) and \(10\% + 10\% + 10\% + 10\%\). These two methods accurately calculate 40% of any given number. The final answer includes these two expressions.
Understanding how to break down percentages is highly useful in daily life, especially when calculating tips, discounts, or tax. For example, if a store offers a 40% discount on an item costing \(\$50\), you can quickly calculate the savings by breaking down 40% into 10% blocks. Since 10% of \(\$50\) is \(\$5\), calculating 40% as \(4 \times \$5\) gives a total discount of \(\$20\). This mental math strategy makes handling everyday financial calculations much faster and easier.