1 Round off the following numbers to the nearest five. \( \begin{array}{llll}\text { a } 236 & \text { b } 872 & \text { c } 3709 & \text { d } 5998 \\ \text { e } 26789 & \text { f } 678113 & \text { g } 200745 & \text { h } 824903\end{array} \) 2 Cashiers at the supermarket give change that is rounded off to the nearest five. What will your change be if the amount is: \( \begin{array}{lllll}\text { a } 96 \mathrm{c} & \text { b } 47 \mathrm{c} & \text { c } 38 \mathrm{c} & \text { d } 62 \mathrm{c} & \text { e } 83 \mathrm{c}\end{array} \)

Sure! Let's tackle both parts of your question step by step. --- ## **1. Rounding Numbers to the Nearest Five** To round a number to the nearest five, identify the multiple of five that is closest to the original number. Here's how it's done for each case: ### **a. 236** - **Closest multiples of 5:** 235 and 240 - **Difference:** - |236 - 235| = 1 - |240 - 236| = 4 - **Nearest five:** **235** ### **b. 872** - **Closest multiples of 5:** 870 and 875 - **Difference:** - |872 - 870| = 2 - |875 - 872| = 3 - **Nearest five:** **870** ### **c. 3709** - **Closest multiples of 5:** 3705 and 3710 - **Difference:** - |3709 - 3705| = 4 - |3710 - 3709| = 1 - **Nearest five:** **3710** ### **d. 5998** - **Closest multiples of 5:** 5995 and 6000 - **Difference:** - |5998 - 5995| = 3 - |6000 - 5998| = 2 - **Nearest five:** **6000** ### **e. 26789** - **Closest multiples of 5:** 26785 and 26790 - **Difference:** - |26789 - 26785| = 4 - |26790 - 26789| = 1 - **Nearest five:** **26790** ### **f. 678,113** - **Closest multiples of 5:** 678,110 and 678,115 - **Difference:** - |678,113 - 678,110| = 3 - |678,115 - 678,113| = 2 - **Nearest five:** **678,115** ### **g. 200,745** - **Closest multiples of 5:** 200,745 and 200,750 - **Difference:** - |200,745 - 200,745| = 0 - |200,750 - 200,745| = 5 - **Nearest five:** **200,745** (Already a multiple of five) ### **h. 824,903** - **Closest multiples of 5:** 824,900 and 824,905 - **Difference:** - |824,903 - 824,900| = 3 - |824,905 - 824,903| = 2 - **Nearest five:** **824,905** --- ## **2. Rounding Change to the Nearest Five Cents** When cashiers round change to the nearest five cents, they follow similar logic by identifying the closest multiple of five cents to the given amount. ### **a. 96¢** - **Closest multiples of 5¢:** 95¢ and 100¢ - **Difference:** - |96 - 95| = 1 - |100 - 96| = 4 - **Nearest five cents:** **95¢** ### **b. 47¢** - **Closest multiples of 5¢:** 45¢ and 50¢ - **Difference:** - |47 - 45| = 2 - |50 - 47| = 3 - **Nearest five cents:** **45¢** ### **c. 38¢** - **Closest multiples of 5¢:** 35¢ and 40¢ - **Difference:** - |38 - 35| = 3 - |40 - 38| = 2 - **Nearest five cents:** **40¢** ### **d. 62¢** - **Closest multiples of 5¢:** 60¢ and 65¢ - **Difference:** - |62 - 60| = 2 - |65 - 62| = 3 - **Nearest five cents:** **60¢** ### **e. 83¢** - **Closest multiples of 5¢:** 80¢ and 85¢ - **Difference:** - |83 - 80| = 3 - |85 - 83| = 2 - **Nearest five cents:** **85¢** --- **Summary of Rounded Values:** ### **1. Nearest Five:** - **a.** 235 - **b.** 870 - **c.** 3710 - **d.** 6000 - **e.** 26790 - **f.** 678,115 - **g.** 200,745 - **h.** 824,905 ### **2. Nearest Five Cents:** - **a.** 95¢ - **b.** 45¢ - **c.** 40¢ - **d.** 60¢ - **e.** 85¢ --- If you have any more questions or need further clarification, feel free to ask!