Activity 10 Round off to the nearest rive 1 Round off the following numbers to the nearest five. d 5998 a 236 b 872 c 3709 h 824903 e 26789 f 678113 g 200745 2 Cashiers at the supermarket give change that is rounded off to the nearest five. What will your change be if the amount is: \( e^{83 c} \) a \( 96 c \) b 47 c c 38 c

Sure, let's work through each part of Activity 10 step by step. --- ## **1. Round Off the Following Numbers to the Nearest Five** To round a number to the nearest five, follow these steps: 1. **Identify the two closest multiples of five** surrounding the number. 2. **Determine which multiple the number is closer to**. 3. **Round to that multiple**. Let's apply this to each number: ### **a. 236** - **Closest multiples of 5:** 235 and 240 - **Difference:** - |236 - 235| = 1 - |236 - 240| = 4 - **Closer to:** 235 **Rounded Number:** **235** --- ### **b. 872** - **Closest multiples of 5:** 870 and 875 - **Difference:** - |872 - 870| = 2 - |872 - 875| = 3 - **Closer to:** 870 **Rounded Number:** **870** --- ### **c. 3709** - **Closest multiples of 5:** 3705 and 3710 - **Difference:** - |3709 - 3705| = 4 - |3709 - 3710| = 1 - **Closer to:** 3710 **Rounded Number:** **3710** --- ### **d. 5998** - **Closest multiples of 5:** 5995 and 6000 - **Difference:** - |5998 - 5995| = 3 - |5998 - 6000| = 2 - **Closer to:** 6000 **Rounded Number:** **6000** --- ### **e. 26789** - **Closest multiples of 5:** 26785 and 26790 - **Difference:** - |26789 - 26785| = 4 - |26789 - 26790| = 1 - **Closer to:** 26790 **Rounded Number:** **26790** --- ### **f. 678113** - **Closest multiples of 5:** 678110 and 678115 - **Difference:** - |678113 - 678110| = 3 - |678113 - 678115| = 2 - **Closer to:** 678115 **Rounded Number:** **678115** --- ### **g. 200745** - **Closest multiples of 5:** 200745 and 200745 (exact multiple) **Rounded Number:** **200745** --- ### **h. 824903** - **Closest multiples of 5:** 824900 and 824905 - **Difference:** - |824903 - 824900| = 3 - |824903 - 824905| = 2 - **Closer to:** 824905 **Rounded Number:** **824905** --- ## **2. Rounding Change to the Nearest Five Cents** When dealing with money, especially in cash transactions, it's common to round the change to the nearest five cents to simplify the amount. ### **a. 96¢** - **Closest multiples of 5 cents:** 95¢ and 100¢ - **Difference:** - |96¢ - 95¢| = 1¢ - |96¢ - 100¢| = 4¢ - **Closer to:** 95¢ **Rounded Change:** **95¢** --- ### **b. 47¢** - **Closest multiples of 5 cents:** 45¢ and 50¢ - **Difference:** - |47¢ - 45¢| = 2¢ - |47¢ - 50¢| = 3¢ - **Closer to:** 45¢ **Rounded Change:** **45¢** --- ### **c. 38¢** - **Closest multiples of 5 cents:** 35¢ and 40¢ - **Difference:** - |38¢ - 35¢| = 3¢ - |38¢ - 40¢| = 2¢ - **Closer to:** 40¢ **Rounded Change:** **40¢** --- **Summary of Rounded Values:** | **Original Number** | **Rounded to Nearest Five** | |---------------------|-----------------------------| | a. 236 | 235 | | b. 872 | 870 | | c. 3709 | 3710 | | d. 5998 | 6000 | | e. 26789 | 26790 | | f. 678113 | 678115 | | g. 200745 | 200745 | | h. 824903 | 824905 | | **Change Amount (cents)** | **Rounded Change** | |--------------------------|--------------------| | a. 96¢ | 95¢ | | b. 47¢ | 45¢ | | c. 38¢ | 40¢ | --- Feel free to ask if you need further clarification or assistance!