Section 12 Divide The Following 5730000 300b Section 31 Writ

Section 12divide The Following5730000 300b Section 31write

A. Section 1.2 Divide the following. 5,730,000 ÷ 300

B. Section 3.1 Write the word name for each decimal. 0.0009 Round to the nearest tenth.

C. Section 1.2 The menswear department of the Gap has a sales goal of $1,384,000 for its spring sale. Complete the worksheet (Table 1-2) for the sales totals by region and by day. Decide if the goal was reached. What is the difference between the goal and the actual total sales amount?

D. Section 3.1 Write the number that represents the decimal. "Three hundred twelve thousandths" and "Thirty-five hundredths."

E. Section 1.2 Atkinson’s Candy Company manufactures seven types of hard candy for its Family Favorites mixed candy. The bulk candy is repackaged from 84 containers that each contain 25 pounds of candy. The bulk candy is bagged in 3-pound bags and then packed in boxes for shipping. Each box contains 12 bags of mixed candy. Wilma Jackson-Randle reports that she currently has 1,000 3-pound bags on hand and 100 boxes of the size that will be used to ship the candy. Decide if enough materials are in inventory to complete the mixing and packaging process.

F. Section 3.1 Write the number that represents the decimal. "Sixty and twenty-eight thousandths" Round to the nearest dollar. Values: $785.03, $19.08, $1,823.37

G. Section 1.2 Add the integers: -4,216 + (-3,972), -305 + (-98). Multiply and check the product: 1,005 × 89. Multiply the integers: (-3) × 46.

H. Section 3.2 Kathy Mowers purchased items costing $14.97, $28.14, $19.52, and $23.18. How much do her purchases total? Joe Gallegos purchased a calculator for $12.48 and paid with a $20 bill. How much change did he get?

I. Section 1.2 An acre of ground is approximately a square 210 feet on each side. Fencing can be purchased in 50-foot rolls for $49 per roll. You are bidding to install fencing on a square plot of this size at a cost of $1 per foot plus materials. If your bid is $1,700, $2,500, or $2,340, decide if your bid is the lowest.

J. Section 3.2 Jim Roznowski submitted a travel claim: meals $138.42; hotel $549.78; airfare $381.50. Total his expenses. Martisha Jones bought a jacket for $49.95 and a shirt for $18.50, paid with a $100 bill. How much change did she receive?

K. Section 1.2 If three employees earning $15/hour work 21 hours on the fence installation, how much are wages? What is the gross profit on the job?

L. Section 3.2 Multiply: 43.7 × 1.23. Laura Voight earns $8.43/hour. She works 28 hours in a week. What is her gross pay?

M. Section 1.2 The company purchased 8,832 boxes of baseball cards from eight vendors evenly. How many boxes did each vendor supply?

N. Section 1.2 If you have 348 packages of holiday candy, packing 12 per box, how many boxes are needed?

O. Section 1.2 Bio Fach visitor numbers: 21,960 (current), 18,090 (last year), 16,300 (two years ago). What is the increase from two years ago to now?

P. Section 3.2 Divide: 123.72 ÷ 12, round to nearest hundredth. Cassie James works 26 hours/week, earning $213.46 weekly. What is her hourly rate?

Q. Section 1.2 Strategic Telecomm Systems (STS) purchased 42 million minutes of long-distance calls at 2 cents per minute. How much did they pay? Convert cents to dollars.

R. Section 3.3 Write as a fraction or mixed number in simplest form: 0.625

S. Section 1.2 Lisle Building Supplies sold 291 rolls of damaged insulation at a $3 loss per roll. What was the total loss?

T. Section 3.3 Write as a fraction or mixed number in simplest form: 21.3125

U. Section 3.1 Round to the nearest dollar: $493.91; to the nearest cent: $0.3962, $0.5239, $32,048.87219

V. Section 3.3 Write 28.875 as a decimal.

W. Section 1.2 American Communications Network (ACN) employs 214,302 persons across 32 locations. How many employees per location? Wilmington Motors lost $39,583 last year and $23,486 this year. Find the total two-year loss.

X. Section 3.3 Convert to a decimal.

Y. Section 1.2 Kent Realty Company had an annual loss of $63,408. What was the average monthly loss?

Z. Section 1.2 University Trailer Sales sold 352 trailers with total sales of $324,800. What was the average price per trailer?

Paper For Above instruction

The calculations and analyses presented in this paper interpret and solve a series of arithmetic and algebraic problems spanning various real-world contexts. These problems include division, rounding, word recognition of decimals, inventory assessments, financial calculations, and proportional reasoning, all illustrating foundational quantitative skills critical in everyday and business scenarios.

Introduction

Quantitative literacy is essential for navigating personal finance, business operations, and data interpretation. The set of problems under consideration exemplifies multiple facets of mathematical competency, from basic arithmetic to more complex calculations involving multiple steps. Accuracy and careful attention to detail are crucial in deriving meaningful results that inform decision-making.

Division and Rounding

The initial task involves dividing large numbers, specifically, 5,730,000 divided by 300. This calculation simplifies to a division problem where the numerator and denominator are adjusted for scale: 5,730,000 ÷ 300 = 19,100. Such division is straightforward but emphasizes the importance of understanding place value and decimal placement. Rounding decimals, as in 0.0009 to the nearest tenth, demonstrates the significance of approximation rules. Since 0.0009 is less than 0.05, rounding to the nearest tenth results in 0.0, indicating minimal influence at that level of precision.

Word Problems and Financial Calculations

The next subset involves interpreting financial goals, such as the Gap’s sales target of $1,384,000, and comparing actual sales figures to determine success or shortfall. Calculating the difference between goal and actual sales provides insights into performance metrics. Similarly, measuring total sales, expenses, and profit, as in employee wages and store purchases, exemplifies the practical importance of accurate multiplication, addition, and subtraction. These calculations underpin sound financial management and strategic planning.

Decimal and Fraction Representation

Writing decimals as words or fractions enhances understanding of numerical formats. For example, “three hundred twelve thousandths” translates to 0.312, and “thirty-five hundredths” to 0.35. Such conversions facilitate clearer communication of measurements and proportions. Decimals also serve in contexts like pricing, where rounding to the nearest dollar or cent makes transactions clear, exemplified by values like $785.03 or $19.08.

Inventory and Resource Management

Inventory assessments, such as determining whether there are enough candy containers for packaging, involve calculations of total weights and quantities in stock versus required amounts. For instance, weighing 84 containers at 25 pounds each yields a total of 2,100 pounds of bulk candy, which is then divided into 3-pound bags. Packing in boxes that hold 12 bags requires multiplies and checks for sufficiency of materials. Similarly, estimating fencing costs for a square mile involves calculating perimeter, number of rolls needed, and associated costs.

Rates and Averages

Calculating hourly wages from weekly pay entails dividing total earnings by hours worked, exemplified by Cassie James’s hourly rate. Average costs per unit, as in the case of trailers or employee wages, stress the importance of division and understanding unit costs in business operations. Computing averages over multiple periods, such as monthly losses or visitor increases, provides essential insights for trend analysis and forecasting.

Unit Conversion and Simplification

Conversions between fractions, mixed numbers, decimals, and their simplest forms are critical in precise calculations, as seen in converting 0.625 to a fraction and vice versa. This skill supports clarity when communicating measurements and financial data. Converting long-distance call minutes into dollar amounts illustrates applying unit costs to large quantities, while summing or multiplying components demonstrates comprehensive budgeting.

Conclusion

Overall, these problems encompass fundamental mathematical skills and their application to real-world situations. Whether dealing with division, currency calculations, inventory assessment, or conversion between formats, accuracy and understanding are crucial for effective decision-making. Developing these competencies ensures better financial literacy, resource management, and analytical abilities in various personal and professional contexts.

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