Quiz about Exponents and Equivalents

Question 1

What is the equivalent of $$10^{-3}$$ ?

Accepted Answer

0.001

Answer

-1,000

Answer

-30

Answer

0.003

Question 2

Which is equivalent to $$10^{-4}$$ ?

Accepted Answer

0.0001

Answer

-10,000

Answer

10,000

Answer

-0.0001

Question 3

Which fraction and decimal are equivalent to $$10^{-3}$$ ?

Accepted Answer

1/10³ and 0.001

Answer

-1/10³ and -0.003

Answer

1/10³ and -0.003

Answer

-1/10³ and 0.001

Question 4

Which expression is equivalent to $$10^{-5}$$ ?

Accepted Answer

(1/10)*(1/10)*(1/10)*(1/10)*(1/10)

Answer

10 * 10 * 10 * 10 * 10

Answer

-10 * -10 * -10 * -10 * -10

Answer

(-1/10)*(-1/10)*(-1/10)*(-1/10)*(-1/10)

Question 5

Select all of these that are equivalent to $$10^{-5}$$ ?

Accepted Answer

0.00001

Accepted Answer

(1/10)*(1/10)*(1/10)*(1/10)*(1/10)

Accepted Answer

1/100,000

Answer

(-1/10)*(-1/10)*(-1/10)*(-1/10)*(-1/10)

Answer

(-10)*(-10)*(-10)*(-10)*(-10)

Question 6

If $$10^2=100$$ , $$10^1=10$$ , $$10^0=1$$ , what is the value of $$10^{-1}$$ ?

Accepted Answer

0.1

Answer

10

Answer

1

Answer

0.01

Question 7

If 10³=1,000, 10²=100, 10¹=10, what is the value of ?

Accepted Answer

0.01

Answer

1

Answer

0.1

Answer

0.001

Question 8

Which is correctly written in scientific notation?

Accepted Answer

5.6 x 10⁶

Answer

56 x 105

Answer

5,600,000

Answer

56 million

Question 9

What is 102,000,000 expressed in scientific notation?

Accepted Answer

1.02 x 10⁸

Answer

1.02 x 10⁹

Answer

1.02 x 10⁷

Answer

1.02 x 10⁶

Question 10

What is 901,000 written in scientific notation?

Accepted Answer

9.01 x 10³

Answer

$$9.01 x 10^{-5}$$

Answer

$$9.01 x 10^{-3}$$

Answer

$$9.01 x 10^5$$

Question 11

Write in standard form. $$5.78 x 10^5$$

Accepted Answer

578,000

Answer

57,800,000

Answer

0.0000578

Answer

0.00000578

Question 12

What is the equivalent of $$5.43 x 10^{-6}$$ ?

Accepted Answer

0.00000543

Answer

0.000000543

Answer

5,430,000

Answer

543,000,000

Question 13

Which shows 0.000000506 in scientific notation?

Accepted Answer

$$5.06 x 10^{-8}$$

Answer

5.06 x 10⁸

Answer

5.06 x 10⁷

Answer

$$5.06 x 10^{-7}$$

Question 14

What is 0.000012 written in scientific notation?

Accepted Answer

1.2 x 10^-4

Answer

1.2 x 10^-5

Answer

1.2 x 10⁴

Answer

1.2 x 10⁵

Question 15

Which number is greater than $$3.4 x 10^7$$ ?

Accepted Answer

$$3.1 x 10^8$$

Answer

$$9.2 x 10^4$$

Answer

8.7 x 10⁶

Answer

3.4 x 10⁵

Question 16

Identify the TWO numbers that have a value less than 3.

Accepted Answer

$$3.2 x 10^{-2}$$

Accepted Answer

$$2.9 x 10^0$$

Answer

$$2.9 x 10^1$$

Answer

$$3.2 x 10^3$$

Question 17

Arrange the three numbers shown in order from least to greatest.

Accepted Answer

4.7 x 10⁵

Accepted Answer

3.9 x 10⁸

Accepted Answer

$$5.2 x 10^5$$

Question 18

Carlos has read $$\frac{2}{3}$$ of the class novel. Henrietta has read 60% of it, and Daniel has read 0.56 of it. Mrs. Schultz lists the students from who has read the most to who has read the least. Which is her list?

Accepted Answer

Carlos, Henrietta, Daniel

Answer

Henrietta, Carlos, Daniel

Answer

Daniel, Henrietta, Carlos

Answer

Carlos, Daniel, Henrietta

Question 19

Which list of numbers is arranged in descending order?

Accepted Answer

17% , 0.25 , $$\frac{2}{9}$$

Answer

0.25 , 17% , $$\frac{2}{9}$$

Answer

0.25 , $$\frac{2}{9}$$ , 17%

Answer

17% , $$\frac{2}{9}$$ , 0.25

Question 20

Which list is ordered in ascending order?

Accepted Answer

$$\frac{1}{3} , 30\% , \frac{3}{5}$$

Answer

$$\frac{1}{3} , \frac{3}{5} , 30\%$$

Answer

$$\frac{3}{5} , \frac{1}{3} , 30\%$$

Answer

30\% , $$\frac{1}{3} , \frac{3}{5}$$

Question 21

Which number is equivalent to 0.7% ?

Accepted Answer

0.007

Answer

0.07

Answer

7

Answer

70

Question 22

Which number is greater than 1 2/3 ?

Accepted Answer

7/3

Answer

1.34

Answer

166%

Answer

1 x $$10^0$$

Question 23

Which statement is true?

Accepted Answer

6% < 0.09

Answer

0.09 > $$\frac{7}{8}$$

Answer

$$\frac{7}{8} < 8.0 imes 10^{-3}$$

Answer

$$8.0 imes 10^{-3} > 6\%$$

Question 24

Which is true?

Accepted Answer

$$\frac{3}{50} = 0.06$$

Answer

30% = $$\frac{3}{100}$$

Answer

$$\frac{30}{1000} = 0.30$$

Answer

60% = $$\frac{3}{50}$$

Question 25

Which number is equivalent to 30% ?

Accepted Answer

$$\frac{3}{10}$$

Answer

0.03

Answer

$$\frac{1}{3}$$

Answer

30.0

Question 26

Which number is a perfect square?

Accepted Answer

1

Answer

2

Answer

5

Answer

8

Question 27

Which of the following is a perfect square?

Accepted Answer

16

Answer

5

Answer

10

Answer

11

Question 28

Which of the following is not a perfect square?

Accepted Answer

99

Answer

49

Answer

64

Answer

81

Question 29

Which of the following numbers is not a perfect square?

Accepted Answer

48

Answer

36

Answer

64

Answer

81

Question 30

What whole number is the square root of 256?

Accepted Answer

16

Answer

2

Answer

128

Answer

65,536

Question 31

Which number is a square root of 1?

Accepted Answer

1

Answer

1/4

Answer

1/2

Answer

2

Question 32

Lucy is arranging square tiles on her kitchen floor. Each tile has an area of 36 square inches. What is the side length of each tile?

Accepted Answer

6 inches

Answer

5 inches

Answer

7 inches

Answer

8 inches

Question 33

Which symbol would make the following true? Choose <, >, or = $$\sqrt{81}$$ _____ 8

Accepted Answer

=

Answer

<

Answer

<

Question 34

A city is designing a square playground for children. The area of the playground is 400 square yards. What is the length of one side of the playground?

Accepted Answer

C. 20 yards

Answer

A. 18 yards

Answer

B. 19 yards

Answer

D. 21 yards

Question 35

Samantha is designing a garden and wants to plan flowers in square-shaped sections. The total area of the garden will be a perfect square. Each section of the garden will contain the same number of plants. The garden has 100 square units of space. How many plants can fit along one side of the garden?

Accepted Answer

10

Answer

9

Answer

11

Answer

12

Question 36

A construction company is paving a road and plans to create square-shaped paving stones. The area of each paving stone is a perfect square. The area of one paving stone is 225 square feet. What is the length of one side of each paving stone?

Accepted Answer

B. 15 feet

Answer

A. 14 feet

Answer

C. 16 feet

Answer

D. 17 feet

Question 37

The square root of a perfect square is always a whole number.

Accepted Answer

True

Answer

False

Question 38

A company needs to pack square boxes for shipping. Each box has a square bottom with an area of 169 square inches. What is the length of one side of the bottom of each box?

Accepted Answer

13 inches

Answer

12 inches

Answer

14 inches

Answer

15 inches

Question 39

A customer buys a jacket that cost $42.00 and returns it a week later. The store charges a 10% restocking fee for returns. How much money will the customer receive as a refund?

Accepted Answer

$37.80

Answer

$4.20

Answer

$46.20

Answer

$10.00

Question 40

A temperature drops 2.75 degrees per hour for 4 hours. What is the total temperature change?

Accepted Answer

-11 degrees

Answer

-8.25 degrees

Answer

-12.5 degrees

Answer

-10 degrees

Question 41

In a recipe, you need 1 1/4 cups of flour per batch. How many cups do you need for 4 batches?

Accepted Answer

5 1/2 cups

Answer

3 cups

Answer

6 cups

Answer

8 cups

Question 42

If you have 2 1/4 pounds of apples for a cobbler and use 3/4 pounds, how many pounds remain? (Hint: Draw a picture)

Accepted Answer

1 1/2 pounds

Answer

3 pounds

Answer

1 pound

Answer

3 1/4 pounds

Question 43

Sarah is shopping for supplies to create a school project. She buys 3 packs of colored paper, each costing $$4.75. She also buys 2 markers, each costing $$ 1.50. How much did she spend in total?

Accepted Answer

$17.25

Answer

$14.25

Answer

$4.50

Answer

$9.75

Question 44

How much more money does Sarah need to save for the vacation?

Accepted Answer

$200

Answer

$100

Answer

$300

Answer

$400

Question 45

Maria pays rent for her apartment every month. Her rent is $$1,200 per month, but her landlord is offering a discount of $$ 150 if she pays for 3 months in advance. How much will Maria pay for the 3 months of rent with the discount applied?

Accepted Answer

3,150

Answer

3,450

Answer

3,600

Answer

3,000

Question 46

An apple pie uses 2 1/2 apples. Helen needs to make 10 pies for the bake sale. How many apples does she need to purchase?

Accepted Answer

25 apples

Answer

20 apples

Answer

30 apples

Answer

35 apples

Question 47

Kerry charges $$25.50 per lawn to cut grass on Saturdays and $$ 28.50 per lawn to cut grass on Sundays. If she cuts 4 lawns on Saturday and 5 lawns on Sunday, how much money will she earn?

Accepted Answer

$244.50

Answer

$102

Answer

$171

Answer

$241.50

Question 48

Caleb bought a large pizza with 8 slices. Caleb ate 1/4 of the pizza, he gave three pieces to Todd. How much of the pizza was left for Caleb to eat the next day?

Accepted Answer

3/8 of the pizza, 0.375, 37.5%

Answer

1/4 of the pizza, 0.25, 25%

Answer

1/2 of the pizza, 0.5, 50%

Answer

1/8 of the pizza, 0.125, 12.5%

Question 49

Mrs. Whitaker had a bag of 28 red and yellow marbles. If a fourth of the marbles were red, how many marbles were yellow?

Accepted Answer

21

Answer

7

Answer

9

Answer

12

Question 50

Alex is baking a cake and needs to buy the following ingredients: 3 1/2 cups of sugar, 4 1/2 cups of flour, 1.5 cups of milk. Alex has 2 1/2 cups of sugar, 3 cups of flour, and 1 cup of milk at home. How much more of each ingredient does Alex need to buy?

Accepted Answer

1 cup of sugar

Accepted Answer

1 1/2 cups of flour

Accepted Answer

0.5 cups of milk

Question 51

At a bake sale, Sarah sold 3/4 of a cake, then 1/2 of what remained. How much of the original cake is left? (Hint: Draw a picture)

Accepted Answer

1/8

Answer

1/4

Answer

3/8

Answer

1/2

Question 52

Sarah is making lemonade. The ratio of lemons to sugar is 3:2. If she uses 9 lemons, how much sugar does she need?

Accepted Answer

6 units of sugar

Answer

5 units of sugar

Answer

4 units of sugar

Answer

3 units of sugar

Question 53

A car travels 180 miles in 3 hours. How far will the car travel in 5 hours, assuming the speed remains constant?

Accepted Answer

360 miles

Answer

300 miles

Answer

400 miles

Answer

450 miles

Question 54

A recipe calls for 500 grams of flour, but you only have a scale that measures in ounces. Convert 500 grams to ounces (1 gram = 0.035 ounces).

Accepted Answer

17.5 ounces

Answer

15 ounces

Answer

20 ounces

Answer

18 ounces

Question 55

In a basketball game, the ratio of points scored by team A to team B is 4:5. If team A scores 40 points, how many points did team B score?

Accepted Answer

50 points

Answer

45 points

Answer

55 points

Answer

60 points

Question 56

A map has a scale of 1 inch representing 30 miles. How many miles does 7 inches represent?

Accepted Answer

210 miles

Answer

200 miles

Answer

220 miles

Answer

230 miles

Question 57

A pool holds 250 liters of water. How many gallons does this equal? (1 liter = 0.264 gallons)

Accepted Answer

66 gallons

Answer

75 gallons

Answer

82 gallons

Answer

95 gallons

Question 58

A recipe for oatmeal cookies call for 2 cups of flour for every 3 cups of oatmeal. How much flour is needed for a larger batch of cookies that uses 9 cups of oatmeal?

Accepted Answer

6 cups

Answer

3 cups

Answer

4 cups

Answer

9 cups

Question 59

For every 5 apples, there are 2 oranges in a basket. If you have 30 apples, how many oranges are there?

Accepted Answer

12 oranges

Answer

10 oranges

Answer

15 oranges

Answer

20 oranges

Question 60

A store is offering a 25% discount on a jacket that costs $80. How much is the discount on the jacket?

Accepted Answer

$20

Answer

$15

Answer

$25

Answer

$30

Question 61

A recipe calls for 3 eggs to make 6 cookies. How many eggs would be needed to make 24 cookies?

Accepted Answer

12 eggs

Answer

6 eggs

Answer

9 eggs

Answer

15 eggs

Question 62

A person walks 2 kilometers every day. How many miles does that equal? (1 kilometer = 0.621 miles)

Accepted Answer

1.242 miles

Answer

1.5 miles

Answer

1.621 miles

Answer

2 miles

Question 63

A school cafeteria serves 3 servings of pasta for every 2 servings of salad. If they serve 24 servings of pasta, how many servings of salad are there?

Accepted Answer

16 servings

Answer

12 servings

Answer

18 servings

Answer

20 servings

Question 64

A gardener plants 2 flowers in 3 hours. How many flowers can she plant in 9 hours?

Accepted Answer

12 flowers

Answer

4 flowers

Answer

6 flowers

Answer

8 flowers

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