Number Set
-345 + 451?
+106
Write thirty-five hundredths as a decimal.
0.35
Which of the following numbers is not a natural number?
A) 1
B) 3
C) 0
D) 7
C) 0
Which of the following numbers is in the complex number set but not in the real number set?
A) 2
B) -√3
C) 5/2
D) 4i
D) 4i
Round 0.678 to the nearest hundredth.
0.68
1.8 − 2.35 = ?
-0.55
6.25 ÷ 0.5 = ?
12.5
You have $4.75 and spends $11.56. How much is left?
-$6.81 is left.
3.5 × 0.09 = ?
0.315
Which has a greater area: a circle with radius 3 cm or one with diameter 6 cm?
They are the same size.
Use formulas and approximations (π ≈ 3.14).
Use A = π × r² to estimate the area when r = 4 cm.
Use formulas and approximations (π ≈ 3.14).
Use C = π × d to estimate the circumference when d = 10 cm
C = 31.4 cm.
A taxi ride costs $3.50 per mile. How much will a 6.2-mile trip cost?
It will cost $21.7
A 9.8-liter bottle of juice is poured into bottles of 0.7 liters. How many bottles are filled?
14 bottles will be filled.
A tank holds 18.75 liters of water. If it is filled at a rate of 2.5 liters per minute, how long will it take to fill?
It will take 7.5 minutes, or 7 minutes and 30 seconds.
Use formulas and approximations (π ≈ 3.14).
A sprinkler waters a circular lawn with a radius of 10 meters. How much area does it cover?
It covers an area of 314 m2.
Rena is building a 1:180 scale model of a real castle. Her model has a rectangular base that is 3 feet wide and 4 feet long.
What is the area of the base of the actual castle in square feet?
388,800 ft2
A circular garden has a circumference of 31.4 m. Estimate its diameter.
The diameter is 10 m.
Your bill at a restaurant is $38.40. You want to leave a 15% tip. What is the total amount you’ll pay?
You'll pay $5.76.
The diameter of a circle is tripled. By what factor does the area increase?
The area increases by a factor of 9.
Alexander is drawing a map of the Federal Triangle in Washington, D.C. The actual Federal Triangle has a base of 3000 feet and height of 1200 feet. Alexander needs his drawing to fit on his paper, so he decides to make the base of his triangle 10 inches.
What scale is Alexander using?
1 inch = ___ feet
300 feet.
The circumference of a wheel is 62.8 cm. What is its radius?
Radius = 10 cm
The earth is approximately 8000 miles in diameter. The moon is approximately 2000 miles in diameter.
You build a two-dimensional scale model of the earth and moon. You use a circle with a diameter of 1 inch to model the moon.
In your model, what is the diameter of the earth in inches?
4 inches.
A circle has radius r. What is the expression for the area of a shaded ring formed between this circle and another with radius r + 3.
A = π(r - 3)2 - πr2 = π(6r+ 9) = 3π(2r + 3)
{[6−(2+1)2]÷(−3)}+23
9