Numbers & Operations

Problem 6601

Calculate the value of $\sqrt{\frac{121}{144}}$ .

See Solution

Problem 6602

Find the value of $-\sqrt{\frac{1}{4}}$ .

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Problem 6603

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

See Solution

Problem 6604

Convert 73 meters to millimeters. Use the fact that 1 m = 1,000 mm.

See Solution

Problem 6605

Calculate $25^{\frac{3}{2}}$ .

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Problem 6606

Calculate $3 \cdot \frac{1}{2}$ .

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Problem 6607

What is the weight of the second lego pile if the total weight is 110.39 ounces and one pile is 5.914 ounces?

See Solution

Problem 6608

Calculate: $18 \div 2$ and $-24 \div -3$ .

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Problem 6609

Evaluate the expression: $\frac{1}{2} + \frac{2}{5} \times \frac{3}{4}$ and express your answer as a fraction or mixed number.

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Problem 6610

What is the sales tax on items totaling \$60.00 with a 4.5\% tax rate?

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Problem 6611

Find the volume of 225 moles of gas at STP using the ideal gas law.

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Problem 6612

Identify the number set(s) for $\sqrt{-16}$ . Choose all that apply: real, complex, rational, imaginary, irrational.

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Problem 6613

Calculate the total seats in Section A (9 rows, 8 seats) and Section B (4 rows, 7 seats). Also, find streamers from 30 and 40 yards cut into 5-yard pieces.

See Solution

Problem 6614

Calculate the following divisions:
$24 \div 816$ , $32 \div 192$ , $17 \div 2736$ , $29 \div 8207$ , $48 \div 1280$ , $73 \div 3577$ , $19 \div 4332$ , $22 \div 7439$ , $26 \div 9302$ , $67 \div 5226$ , $84 \div 2999$ , $71 \div 6103$ .

See Solution

Problem 6615

1. What is $\frac{4}{8}+\frac{3}{8}$ ?

See Solution

Problem 6616

Calculate $\frac{(2 \times 1.8)^{5}}{4 \times 6.4}$ , round to 3 sig figs, find percentage error, and express as $a \times 10^{k}$ .

See Solution

Problem 6617

Calculate the total number of seats in Section A (9 rows, 8 seats each) and Section B (4 rows, 7 seats each).

See Solution

Problem 6618

Calculate $\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}$ .

See Solution

Problem 6619

An airplane was at 368 feet and ascended 250 feet. What is its new elevation? Calculate: $368 + 250$ .

See Solution

Problem 6620

Calculate $\frac{2.86 \times 10^{3}}{6.25 \times 10^{-9}}$ .

See Solution

Problem 6621

Calculate the value of $8.11 \times 10^{-2}$ .

See Solution

Problem 6622

Convert the speed of light $2.998 \times 10^{8} \mathrm{~m/s}$ to kilometers per hour $(\mathrm{km/h})$ .

See Solution

Problem 6623

Convert a speed of $1.07928 \times 10^{9}$ m/s to miles per minute (mi/min).

See Solution

Problem 6624

An airplane flew at 368 feet and ascended 250 feet. What is its new elevation? Calculate: $368 + 250$ .

See Solution

Problem 6625

Convert 30 quarters to nickels. How many nickels is that? Use the conversion $1 \text{ quarter} = 5 \text{ nickels}$ .

See Solution

Problem 6626

What is the total change in position if a football team gains 15 yards and then loses 21 yards? Calculate $15 - 21$ .

See Solution

Problem 6627

Calculate $(0.5)^{3}$ .

See Solution

Problem 6628

Calculate $\left(-\frac{3}{10}\right)^{2}$ .

See Solution

Problem 6629

Calculate $\left(\frac{1}{4}\right)^{3}$ .

See Solution

Problem 6630

Ellie lost 200 points and gained 500 points in a game show. What is her current score?

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Problem 6631

Identify the property shown by $M+A=A+M$ where $M$ and $A$ are integers: commutative, associative, distributive, or closure?

See Solution

Problem 6632

Which property is shown by $52+(27+36)=(52+27)+36$ ? Choices: commutative, associative, distributive, identity.

See Solution

Problem 6633

Add the mixed numbers $3 \frac{1}{4}$ and $4 \frac{1}{4}$ .

See Solution

Problem 6634

A patient lost 5 pounds/month for 15 months. What is the total weight change? Calculate: $5 \times 15$ .

See Solution

Problem 6635

The stock price dropped \$2.25 daily for 3 days. What is the total loss in value?

See Solution

Problem 6636

You have 8 mechanics each working 8 hours. With 3 absent, how many hours are left for auto repairs on Tuesday?

See Solution

Problem 6637

What is the total hair length removed if you trim twice the 3 inches cut last time?

See Solution

Problem 6638

What is the temperature after 8 hours if it starts at $150^{\circ} \mathrm{F}$ and drops by $1.5^{\circ} \mathrm{F}$ each hour?

See Solution

Problem 6639

Calculate the total cost of two x-rays: one costs \$630 and the other \$950. What is the total?

See Solution

Problem 6640

Find the total temperature drop after reducing it by $0.07^{\circ} \mathrm{F}$ each hour for 7 hours.

See Solution

Problem 6641

What is the net change in fertilizer load after a plane drops 3 gallons per minute for 90 minutes from 600 gallons?

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Problem 6642

What is the total temperature drop if you decrease it by $0.07^{\circ} \mathrm{F}$ per hour for 7 hours?

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Problem 6643

A patron returns 3 overdue books (2 weeks late). Fine is \$1/week/book. They pay \$3. What's their balance?

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Problem 6644

Estimate if the total labor hours for 5 workers (3 at 12 hours, 2 at 10 hours) meets the 60-hour project estimate.

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Problem 6645

A client owed \$6,356.17 and paid \$133.45 for 5 months. What is her balance now at a 0.0% APR?

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Problem 6646

Evaluate $|-6| + 3|4| + |-5| - 0 \cdot 6$ . What is the result?

See Solution

Problem 6647

Calculate $|5| - |-3|$ .

See Solution

Problem 6648

Evaluate $13 - 5 + 7$ and determine which of the following is correct: 15, 5, -15, -5.

See Solution

Problem 6649

Simplify: $3^{0}$ . What is the result?

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Problem 6650

Evaluate $|5| - |-5|$ . Options: -25, 10, 25, 0.

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Problem 6651

Determine the significant figures in the mass of $43.55 \mathrm{~g}$ .

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Problem 6652

Convert 6873 x 10^6 into scientific notation: [?] x 10^[?].

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Problem 6653

Find the density of a liquid with a volume of $9.0 \mathrm{~L}$ and mass of $7.2 \mathrm{~kg}$ in $\mathrm{kg} / \mathrm{L}$ .

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Problem 6654

No-Bake Cookies Recipe: If 340 g of Maple Syrup makes 15 cookies, how much is needed for 75 cookies? A. 1700 g B. 800 g C. 3310 g D. 900 g

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Problem 6655

Calculate $\frac{0.0003}{162}$ and express the answer in scientific notation with the correct significant figures.

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Problem 6656

Count the significant figures in the number 0.00521.

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Problem 6657

What do manufacturers spend on goods or services called? Select the correct term.

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Problem 6658

Calculate the total cost of a hat for \$10, a purse for \$20, and a book for \$23 with 7.2% sales tax.

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Problem 6659

What was the sales tax rate if Karen paid \$43.70 for a book that cost \$40?

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Problem 6660

Myra bought jeans for \$55 with a 10% sales tax. What is the total amount she paid?

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Problem 6661

Tin-118 has 50 protons. How many neutrons does it have? Use the formula: neutrons = mass number - protons.

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Problem 6662

What kind of discount is a store offering with a 25% off on a minimum purchase of \$500?

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Problem 6663

What is the sales tax on shoes costing \$63.20 with a 4.5% tax rate?

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Problem 6664

Will buys 2 shirts at \$29 each, with the second shirt 40% off. How much does he pay in total?

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Problem 6665

Find the number of significant figures in 0.0080.

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Problem 6666

How many significant figures are in the number 45000?

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Problem 6667

Harriet buys items for \$248.50 with a 25% coupon and 5% tax. Find the total cost.

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Problem 6668

What is 20% of a \$150 bill for Susan's stylist tip?

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Problem 6669

Rewrite 300 using 2 significant figures.

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Problem 6670

Find the unit rate of popcorn produced per minute by a machine that makes 14 cups in 2.5 minutes.

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Problem 6671

The second building's height is found by subtracting 563 feet from 965 feet. What is the result?

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Problem 6672

Nicole wants to buy jeans costing \$42.50 with a 10% markup. What is the total price she will pay?

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Problem 6673

Calculate the sum of 3.42, 4, 5.2, and 12, and report your answer with the correct significant figures.

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Problem 6674

You have 70 pounds of welding rods, using 3 pounds/hour. How many hours until you need more rods? Round to nearest hour.

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Problem 6675

Calculate $\frac{10^{6}}{10^{2}}$ .

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Problem 6676

Calculate and report the answer with significant figures: $12306 \times 2451$

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Problem 6677

Express 7, 10, 17, and 24 rods as fractions of 32: $\frac{7}{32}$ , $\frac{10}{32}$ , $\frac{17}{32}$ , $\frac{24}{32}$ .

See Solution

Problem 6678

How much does $b$ cubic feet of water weigh in pounds if 1 cubic foot holds 7.48 gallons and 1 gallon weighs 8.33 pounds?

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Problem 6679

Calculate $3.0 \times 5$ and report the answer using significant figures.

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Problem 6680

Calculate $(3 \times 10^{5}) \times (2 \times 10^{2})$ and express the answer in the form $V \times 10^{n}$ .

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Problem 6681

Find the absolute value of 18: $|18|$ .

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Problem 6682

Is $\sqrt{10}$ a rational number? Choose true or false with reasons: A. True, it's an integer. B. False, it doesn't end/repeat. C. True, it has repeating digits. D. True, it's a terminating decimal.

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Problem 6683

Is the statement true or false? -8 is a rational number. Choose: True or False.

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Problem 6684

Is the statement true or false? $2 \frac{2}{6}$ is an irrational number. Choose: True or False.

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Problem 6685

Is it true or false that every real number is a noninteger rational number? Choose: True or False.

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Problem 6686

Indicate if "Some integers are not real numbers" is true or false. Choose True or False.

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Problem 6687

Is every negative number a negative integer? Choose true or false: A. True, B. False (-2), C. False ( $-\frac{1}{2}$ ), D. True.

See Solution

Problem 6688

Eliud Kipchoge ran 26.2 miles in 1 hour 5 minutes 40 seconds. Find his average time per mile in minutes.

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Problem 6689

Identify the numbers from the set $\{-3,-\frac{6}{7}, 0,0.5, \sqrt{2}, 2.8, \sqrt{25}\}$ that are: a) positive integers, b) whole numbers, c) integers, d) rational numbers, e) irrational numbers, f) real numbers. List positive integers first.

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Problem 6690

Eliud Kipchoge ran 26.2 miles in 1:59:40. What is his average time per mile? Show your calculations.

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Problem 6691

Determine the property illustrated by the equation $4(0.25)=1$ .

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Problem 6692

Identify the property: "The product of numbers remains the same regardless of the order of the factors."

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Problem 6693

Identify the property: "For any numbers $a$ and $b$ , $a \times b = b \times a$ ."

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Problem 6694

Count the significant figures in the number $0.00020$ .

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Problem 6695

Calculate the moles of platinum in $8.4 \times 10^{22}$ atoms of $\mathrm{Pt}$ . [?] moles Pt

See Solution

Problem 6696

Count the significant figures in the number 0.00000001.

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Problem 6697

Count the significant figures in 0.070020.

See Solution

Problem 6698

Count the significant figures in the number $6.17000 \times 10^{5}$ .

See Solution

Problem 6699

How many grams of $\mathrm{P}_{2} \mathrm{O}_{3}$ are needed for 4.0 moles of $\mathrm{H}_{2} \mathrm{O}$ ? Molar mass: 109.94 g/mol.

See Solution

Problem 6700

Count the significant figures in the number $2.005 \times 10^{-9}$ .

See Solution

1 ...64 65 66 67 68 69 70 ...118

Numbers & Operations

Problem 6601

Calculate the value of 121144\sqrt{\frac{121}{144}}144121​​.

Problem 6602

Find the value of −14-\sqrt{\frac{1}{4}}−41​​.

Problem 6603

Calculate the expression (−2)×(−4)×((−5)−1)(-2) \times (-4) \times ((-5) - 1)(−2)×(−4)×((−5)−1).

Problem 6604

Convert 73 meters to millimeters. Use the fact that 1 m = 1,000 mm.

Problem 6605

Calculate 253225^{\frac{3}{2}}2523​.

Problem 6606

Calculate 3⋅123 \cdot \frac{1}{2}3⋅21​.

Problem 6607

What is the weight of the second lego pile if the total weight is 110.39 ounces and one pile is 5.914 ounces?

Problem 6608

Calculate: 18÷218 \div 218÷2 and −24÷−3-24 \div -3−24÷−3.

Problem 6609

Evaluate the expression: 12+25×34 \frac{1}{2} + \frac{2}{5} \times \frac{3}{4} 21​+52​×43​ and express your answer as a fraction or mixed number.

Problem 6610

What is the sales tax on items totaling \$60.00 with a 4.5\% tax rate?

Problem 6611

Find the volume of 225 moles of gas at STP using the ideal gas law.

Problem 6612

Identify the number set(s) for −16\sqrt{-16}−16​. Choose all that apply: real, complex, rational, imaginary, irrational.

Problem 6613

Calculate the total seats in Section A (9 rows, 8 seats) and Section B (4 rows, 7 seats). Also, find streamers from 30 and 40 yards cut into 5-yard pieces.

Problem 6614

Problem 6615

1. What is 48+38\frac{4}{8}+\frac{3}{8}84​+83​?

Problem 6616

Calculate (2×1.8)54×6.4\frac{(2 \times 1.8)^{5}}{4 \times 6.4}4×6.4(2×1.8)5​, round to 3 sig figs, find percentage error, and express as a×10ka \times 10^{k}a×10k.

Problem 6617

Calculate the total number of seats in Section A (9 rows, 8 seats each) and Section B (4 rows, 7 seats each).

Problem 6618

Calculate 3.93×1036.57×103\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}6.57×1033.93×103​.

Problem 6619

An airplane was at 368 feet and ascended 250 feet. What is its new elevation? Calculate: 368+250368 + 250368+250.

Problem 6620

Calculate 2.86×1036.25×10−9\frac{2.86 \times 10^{3}}{6.25 \times 10^{-9}}6.25×10−92.86×103​.

Problem 6621

Calculate the value of 8.11×10−28.11 \times 10^{-2}8.11×10−2.

Problem 6622

Convert the speed of light 2.998×108 m/s2.998 \times 10^{8} \mathrm{~m/s}2.998×108 m/s to kilometers per hour (km/h)(\mathrm{km/h})(km/h).

Problem 6623

Convert a speed of 1.07928×1091.07928 \times 10^{9}1.07928×109 m/s to miles per minute (mi/min).

Problem 6624

An airplane flew at 368 feet and ascended 250 feet. What is its new elevation? Calculate: 368+250368 + 250368+250.

Problem 6625

Convert 30 quarters to nickels. How many nickels is that? Use the conversion 1 quarter=5 nickels1 \text{ quarter} = 5 \text{ nickels}1 quarter=5 nickels.

Problem 6626

What is the total change in position if a football team gains 15 yards and then loses 21 yards? Calculate 15−2115 - 2115−21.

Problem 6627

Calculate (0.5)3(0.5)^{3}(0.5)3.

Problem 6628

Calculate (−310)2\left(-\frac{3}{10}\right)^{2}(−103​)2.

Problem 6629

Calculate (14)3\left(\frac{1}{4}\right)^{3}(41​)3.

Problem 6630

Ellie lost 200 points and gained 500 points in a game show. What is her current score?

Problem 6631

Identify the property shown by M+A=A+MM+A=A+MM+A=A+M where MMM and AAA are integers: commutative, associative, distributive, or closure?

Problem 6632

Which property is shown by 52+(27+36)=(52+27)+3652+(27+36)=(52+27)+3652+(27+36)=(52+27)+36? Choices: commutative, associative, distributive, identity.

Problem 6633

Add the mixed numbers 3143 \frac{1}{4}341​ and 4144 \frac{1}{4}441​.

Problem 6634

A patient lost 5 pounds/month for 15 months. What is the total weight change? Calculate: 5×155 \times 155×15.

Problem 6635

The stock price dropped \$2.25 daily for 3 days. What is the total loss in value?

Problem 6636

You have 8 mechanics each working 8 hours. With 3 absent, how many hours are left for auto repairs on Tuesday?

Problem 6637

What is the total hair length removed if you trim twice the 3 inches cut last time?

Problem 6638

What is the temperature after 8 hours if it starts at 150∘F150^{\circ} \mathrm{F}150∘F and drops by 1.5∘F1.5^{\circ} \mathrm{F}1.5∘F each hour?

Problem 6639

Calculate the total cost of two x-rays: one costs \$630 and the other \$950. What is the total?

Problem 6640

Find the total temperature drop after reducing it by 0.07∘F0.07^{\circ} \mathrm{F}0.07∘F each hour for 7 hours.

Calculate the value of $\sqrt{\frac{121}{144}}$ .

Find the value of $-\sqrt{\frac{1}{4}}$ .

Calculate the expression $(-2) \times (-4) \times ((-5) - 1)$ .

Calculate $25^{\frac{3}{2}}$ .

Calculate $3 \cdot \frac{1}{2}$ .

Calculate: $18 \div 2$ and $-24 \div -3$ .

Evaluate the expression: $\frac{1}{2} + \frac{2}{5} \times \frac{3}{4}$ and express your answer as a fraction or mixed number.

Identify the number set(s) for $\sqrt{-16}$ . Choose all that apply: real, complex, rational, imaginary, irrational.

1. What is $\frac{4}{8}+\frac{3}{8}$ ?

Calculate $\frac{(2 \times 1.8)^{5}}{4 \times 6.4}$ , round to 3 sig figs, find percentage error, and express as $a \times 10^{k}$ .

Calculate $\frac{3.93 \times 10^{3}}{6.57 \times 10^{3}}$ .

An airplane was at 368 feet and ascended 250 feet. What is its new elevation? Calculate: $368 + 250$ .

Calculate $\frac{2.86 \times 10^{3}}{6.25 \times 10^{-9}}$ .

Calculate the value of $8.11 \times 10^{-2}$ .

Convert the speed of light $2.998 \times 10^{8} \mathrm{~m/s}$ to kilometers per hour $(\mathrm{km/h})$ .

Convert a speed of $1.07928 \times 10^{9}$ m/s to miles per minute (mi/min).

An airplane flew at 368 feet and ascended 250 feet. What is its new elevation? Calculate: $368 + 250$ .

Convert 30 quarters to nickels. How many nickels is that? Use the conversion $1 \text{ quarter} = 5 \text{ nickels}$ .

What is the total change in position if a football team gains 15 yards and then loses 21 yards? Calculate $15 - 21$ .

Calculate $(0.5)^{3}$ .

Calculate $\left(-\frac{3}{10}\right)^{2}$ .

Calculate $\left(\frac{1}{4}\right)^{3}$ .

Identify the property shown by $M+A=A+M$ where $M$ and $A$ are integers: commutative, associative, distributive, or closure?

Which property is shown by $52+(27+36)=(52+27)+36$ ? Choices: commutative, associative, distributive, identity.

Add the mixed numbers $3 \frac{1}{4}$ and $4 \frac{1}{4}$ .

A patient lost 5 pounds/month for 15 months. What is the total weight change? Calculate: $5 \times 15$ .

What is the temperature after 8 hours if it starts at $150^{\circ} \mathrm{F}$ and drops by $1.5^{\circ} \mathrm{F}$ each hour?

Find the total temperature drop after reducing it by $0.07^{\circ} \mathrm{F}$ each hour for 7 hours.

What is the total temperature drop if you decrease it by $0.07^{\circ} \mathrm{F}$ per hour for 7 hours?

Evaluate $|-6| + 3|4| + |-5| - 0 \cdot 6$ . What is the result?

Calculate $|5| - |-3|$ .

Evaluate $13 - 5 + 7$ and determine which of the following is correct: 15, 5, -15, -5.

Simplify: $3^{0}$ . What is the result?

Evaluate $|5| - |-5|$ . Options: -25, 10, 25, 0.

Determine the significant figures in the mass of $43.55 \mathrm{~g}$ .

Find the density of a liquid with a volume of $9.0 \mathrm{~L}$ and mass of $7.2 \mathrm{~kg}$ in $\mathrm{kg} / \mathrm{L}$ .

Calculate $\frac{0.0003}{162}$ and express the answer in scientific notation with the correct significant figures.