Family Kitchen: Weekly Orders

Use scientific notation to check deliveries, portions, and kitchen measurements.

Check the Deliveries

Calculate each quantity. When scientific notation is requested, use a coefficient at least 1 and less than 10.

A family restaurant orders 2.4 × 10¹ bags of rice for the week. Each bag contains 1.5 × 10⁴ grams. What is the total mass?

A. 3.6 × 10⁵ gramsB. 3.6 × 10⁶ gramsC. 3.9 × 10⁵ gramsD. 3.6 × 10⁴ grams

The weekly oil order contains 4.8 × 10⁴ milliliters. Each bottle holds 6 × 10² milliliters.

How many bottles are in the order? bottles

The kitchen receives 3.6 × 10⁴ grams of tomatoes on Monday and 8,500 grams on Thursday. Complete the total in scientific notation.

Total mass = × 10⁴ grams

The restaurant orders 1.2 × 10⁵ grams of flour. By Friday, it has used 4.5 × 10⁴ grams. How much flour remains?

A. 7.5 × 10⁴ gramsB. 3.3 × 10⁴ gramsC. 1.65 × 10⁵ gramsD. 7.5 × 10⁵ grams

The weekly order includes 250 stacks of napkins, with 1.6 × 10² napkins per stack. Which is the total number of napkins in scientific notation?

A. 4 × 10² napkinsB. 4 × 10³ napkinsC. 4 × 10⁵ napkinsD. 4 × 10⁴ napkins

Choose Units and Plan Portions

Use the stated conversions. Keep units in your calculations.

The kitchen manager wants to record the weekly rice order using a number between 1 and 1,000. Which measurement meets that goal and equals the mass in the table? Use 1 kilogram = 1,000 grams and 1 gram = 1,000 milligrams.

Weekly Rice Delivery
Item	Mass in grams
Rice	3.6 × 10⁵

A. 360 milligramsB. 360 kilogramsC. 3,600 kilogramsD. 360,000 grams

The weekly equipment order includes a fine strainer with openings 2.5 × 10⁻⁴ meter wide. The manager wants a unit that gives a number between 1 and 1,000. Which equivalent measurement should be recorded? Use 1 meter = 100 centimeters = 1,000 millimeters = 1,000,000 micrometers.

A. 2,500 micrometersB. 0.25 millimeterC. 250 micrometersD. 0.025 centimeter

A noodle delivery has a mass of 1.8 × 10⁴ grams. Each serving uses 1.5 × 10² grams of noodles.

How many full servings can the kitchen prepare? servings

The kitchen orders 18 liters of vegetable oil and 7.5 × 10³ milliliters of olive oil. Use 1 liter = 1,000 milliliters. Complete the combined volume in scientific notation.

Combined volume = × 10⁴ milliliters

10.

A sugar order contains 3.2 × 10¹ boxes. Each box contains 2.5 × 10² packets, and each packet contains 4 grams of sugar. Complete the total mass in scientific notation.

Total mass = 3.2 × 10ⁿ grams, where n =

Read the Digital Records

In a calculator or scale display, E means “times 10 to the power of.” For example, 2.7E3 means 2.7 × 10³.

11.

The delivery scale shows 6.25E4 with the unit set to grams for the weekly onion order.

Write the mass in ordinary decimal notation: grams

12.

A precision scale shows 4.8E−3 kilograms for a sample of seasoning from the weekly order. What is that mass in grams? Use 1 kilogram = 1,000 grams.

A. 4,800 gramsB. 4.8 gramsC. 48 gramsD. 0.0048 gram

13.

To plan portions from a potato order, the manager divides the total mass in grams by the grams per portion. The calculator entry is (9.6E4) ÷ (1.2E2), and its result is 8E2.

How many portions does this result represent? portions

14.

Two weekly produce deliveries have masses of 4.2 × 10⁴ grams and 3 × 10³ grams. Eli adds the coefficients and the exponents and records 7.2 × 10⁷ grams. Explain why this method does not work, and give the correct total in scientific notation.