netic uses the four operations of addition, subtraction. on and division with integers, rational and real numbers is measurement and geometry. and then round off your answers to the nearest ten, hundred and thousand. b. \( \begin{array}{r}83408 \\ -46753 \\ \hline 36,655\end{array} \) Narest ten: 36,660 hundregh Nearssti \( 36,70^{\circ} \) nearest thoossend 37,000 \[ \text { c. } \begin{array}{r} 37489 \\ \times \quad 128 \\ \hline 4,797,632 \end{array} \] Nearest ten: \[ 4,79,7,630 \] Nearest hundred :4, 797,000 Nearest huncled \( 4,796.000 \) d. \( 3 9 \longdiv { 8 7 6 5 2 } \)

Certainly! Let's go through each part of your work to ensure everything is correct, especially focusing on the rounding of numbers to the nearest ten, hundred, and thousand. --- ### **Part b** **Problem:** \[ \begin{array}{r} 83,\!408 \\ -46,\!753 \\ \hline 36,\!655 \\ \end{array} \] **Rounding:** 1. **Nearest Ten:** - **36,655** - Look at the **ones place (5)**: Since it's 5 or more, round **up**. - **Rounded to the nearest ten:** **36,660** 2. **Nearest Hundred:** - **36,655** - Look at the **tens place (5)**: Since it's 5 or more, round **up**. - **Rounded to the nearest hundred:** **36,700** 3. **Nearest Thousand:** - **36,655** - Look at the **hundreds place (6)**: Since it's 5 or more, round **up**. - **Rounded to the nearest thousand:** **37,000** **Your Work:** - **Nearest ten:** 36,660 ✔️ - **Nearest hundred:** 36,700 ✔️ - **Nearest thousand:** 37,000 ✔️ **Great job!** Your rounding for part b is correct. --- ### **Part c** **Problem:** \[ \begin{array}{r} 37,\!489 \\ \times \quad 128 \\ \hline 4,\!797,\!632 \\ \end{array} \] **Clarification & Correction:** It seems there might be a miscalculation in the multiplication. Let's verify the product: 1. **Multiplication:** \[ 37,\!489 \times 128 = 37,\!489 \times (100 + 20 + 8) = (3,\!748,\!900) + (749,\!780) + (299,\!912) = 4,\!798,\!592 \] - **Correct Product:** **4,798,592** **Rounding:** 1. **Nearest Ten:** - **4,798,592** - Look at the **ones place (2)**: Since it's less than 5, round **down**. - **Rounded to the nearest ten:** **4,798,590** 2. **Nearest Hundred:** - **4,798,592** - Look at the **tens place (9)**: Since it's 5 or more, round **up**. - **Rounded to the nearest hundred:** **4,798,600** 3. **Nearest Thousand:** - **4,798,592** - Look at the **hundreds place (8)**: Since it's 5 or more, round **up**. - **Rounded to the nearest thousand:** **4,799,000** **Your Work:** - **Nearest ten:** 4,797,630 ❌ - **Nearest hundred:** 4,797,000 ❌ - **Nearest thousand:** 4,796,000 ❌ **Corrections Needed:** - **Product Correction:** The correct product is **4,798,592**, not **4,797,632**. - **Rounding Corrections:** - **Nearest Ten:** Should be **4,798,590** - **Nearest Hundred:** Should be **4,798,600** - **Nearest Thousand:** Should be **4,799,000** --- ### **Part d** **Problem:** \[ 3 \quad 9 \div 8 \quad 7 \quad 6 \quad 5 \quad 2 \] *(Assuming this represents \(39 \div 87,\!652\))* **Clarification:** It's a bit unclear how the division is set up. If the problem is \(39 \div 87,\!652\), here's how you can approach it: 1. **Calculation:** \[ 39 \div 87,\!652 \approx 0.000445 \] 2. **Rounding:** - **Nearest Ten:** Not typically applicable for numbers less than 1. - **Nearest Hundred & Thousand:** Also not standard, but if needed, you can express it in scientific notation or decimal places. **Alternative Interpretation:** If you intended to divide \(87,\!652 \div 39\), here's the approach: 1. **Calculation:** \[ 87,\!652 \div 39 \approx 2,\!245.436 \] 2. **Rounding:** - **Nearest Ten:** - Look at the **ones place (5)**: Round **up**. - **Rounded to the nearest ten:** **2,250** - **Nearest Hundred:** - Look at the **tens place (4)**: Since it's less than 5, round **down**. - **Rounded to the nearest hundred:** **2,200** - **Nearest Thousand:** - Look at the **hundreds place (2)**: Since it's less than 5, round **down**. - **Rounded to the nearest thousand:** **2,000** **Your Work:** *(Since part d wasn't fully solved, I'm providing the methodology above.)* --- ### **Summary** - **Part b:** Correctly rounded. - **Part c:** Product was incorrect; rounding was based on the incorrect product. After correcting the product, the rounding should be updated as shown. - **Part d:** Clarification needed on the division setup. Provided solutions based on possible interpretations. If you need further assistance with part d or any other questions, feel free to ask!