Quiz about 1-9 Understanding Scientific Notation

Question 1

Question 1: What is scientific notation and why is it used?

Accepted Answer

is a way to write very large and very small numbers. Its more efficient and convenient

Answer

is a way to notate in science class. Its short and fast.

Answer

is a way of writing medium sized numbers in science. It is expensive and slow to use

Answer

Is a way of writing large and small fractions. It is more convenient and efficient.

Question 2

Question 2: Taylor states that 2,800,000 in scientific notation is $$2.8 imes10^{-6}$$ because the number has 6 places to the right of the 2. Is Taylor's reasoning correct?

Accepted Answer

No. The exponent is incorrect. It is 6 places to the right, so the exponent should be positive 6.

Answer

Yes. 2.8 is between 1 and 10, and move the decimal 6 places to the left.

Answer

Yes. 2.8 is between 1 and 10, and move the decimal 6 places to the right.

Answer

No. The number has 6 places to the left of 2.

Question 3

Question 3: Sam will write $$0.000032$$ in scientific notation. Sam thinks that the exponent of 10 will be positive. Do you agree? Construct an argument to support your response.

Accepted Answer

No, the standard form is a very small number (decimal). In scientific notation, decimal numbers are written with a negative exponent.

Answer

Yes, because when you convert standard form to scientific notation, you move the decimal to the right to get 3.2.

Question 4

Question 4: Express $$586,400,000$$ in scientific notation.

Accepted Answer

$$5.864\ imes10^8$$

Answer

$$5.864\ imes10^{-5}$$

Answer

$$5.864\ imes10^5$$

Answer

$$5.8\ imes10^6$$

Question 5

Question 5: The genetic information of almost every living thing is stored in a tiny strand called DNA. Human DNA is $$3.4\ imes10^{-8}$$ meter long. Write the length in standard form.

Accepted Answer

0.000000034

Answer

$$3,400,000,000$$

Answer

$$340,000,000$$

Answer

0.0000000034

Question 6

Question 6: The largest virus know to man is the Megavirus, which measures 0.00000044 meter across. Express this number in scientific notation.

Accepted Answer

$$4.4 imes10^{-7}\ meter$$

Answer

$$4.4\ imes10^7\ meter$$

Answer

$$44 imes10^7\ meter$$

Answer

$$0.44\ imes10^7\ meter$$

Question 7

Question 7: How would you write the number displayed on the calculator screen in standard form?

$$7.6E12$$

Accepted Answer

7,600,000,000,000

Answer

76,000,000,000,000

Answer

0.0000000000076

Answer

0.0000000076

Question 8

Question 8: The Sun is $$1.5 imes10^8$$ kilometers from Earth. $$1.5 imes10^8$$ is written as ______________ in standard form.

Accepted Answer

150,000,000

Answer

0.00015

Answer

0.000000015

Answer

1,500,000,000

Question 9

Question 9: Brenna wants an easier way to write 0.0000000000000000587.

0.0000000000000000587 is written as ___ x 10 ^-- in scientific notation.

Accepted Answer

$$5.87 imes10^{-17}$$

Answer

$$5.87\ imes10^{-16}$$

Answer

$$5.87\ imes10^{-18}$$

Question 10

Question 10: Is $$23\ imes10^{-8}$$ written in scientific notation? Justify your response.

Accepted Answer

No, because to be in scientific notation the number must be between 1 and 10.

Answer

Yes, because the number is being multiplied by a power of 10.

Answer

Yes, because it is written as a product of a number and a power of 10.

Answer

No, because it has a negative exponent.

Question 11

Question 11: Is $$8.7\ imes10^7$$ written in scientific notation. Justify your response.

Accepted Answer

Yes, because the number is between 1 and 10 and being multiplied by a power of 10.

Answer

No, because it should be multiplied by a power of 20.

Answer

Yes, because it has a decimal and an exponent

Answer

No, because the number is less than 10

Question 12

Question 12: Simone evaluates an expression using her calculator. The calculator display is shown. Express the number in standard form.

$$5.2e-11$$

Accepted Answer

0.000000000052

Answer

5,200,000,000,000

Answer

0.00052

Answer

520,000,000,000

Question 13

Question 13: Express the number 0.00001038 in scientific nation.

Accepted Answer

$$1.035 imes10^{-5}$$

Answer

$$1.038 imes10^5$$

Answer

$$1.0 imes10^{-4}$$

Answer

$$1.038 imes10^4$$

Question 14

Question 14: Express the number 80,000 in scientific notation.

Accepted Answer

$$8 imes10^4$$

Answer

$$80 imes10^3$$

Answer

$$8 imes10^5$$

Answer

Can not be written in scientific notation.

Question 15

Question 15: Peter evaluates an expression using his calculator. Express the number in standard form.

$$8.19\ E\ 18$$

Accepted Answer

$$8,190,000,000,000,000,000$$

Answer

$$0.819$$

Answer

$$0.00819$$

Answer

$$819,000,000$$

Question 16

Question 17: Express $$2.58\ imes10^{-2}$$ in standard form.

Accepted Answer

$$0.0258$$

Answer

$$0.258$$

Answer

$$25.8$$

Answer

$$25,800$$

Question 17

Question 18: At a certain point, the Grand Canyon is approximately 1,600,000 centimeters across. Expression the number in scientific notation.

Accepted Answer

$$1.6 imes10^6$$

Answer

$$1.6 imes10^{-5}$$

Answer

$$1.6 imes10^5$$

Answer

$$1.6 imes10^{-6}$$

Question 18

Question 19: The length of a bacterial cell is $$5.2 imes10^{-6}$$ meter. Express the length of the cell in standard form.

Accepted Answer

0.0000052

Answer

5,200,000

Answer

52,000,000

Answer

0.00052

Question 19

Question 21: Which of the following numbers are written in scientific notation?

Accepted Answer

$$1.2 imes10^6$$

Accepted Answer

$$6.89 imes10^6$$

Accepted Answer

$$4 imes10^{-1}$$

Answer

12

Answer

6.89

Question 20

Question 22: Jeana's calculator display shows the number below:

$$5.49e-14$$

PART A: Express the number in scientific notation

Accepted Answer

$$5.49 imes10^{-14}$$

Answer

$$5.49\ imes10^{14}$$

1-9 Understanding Scientific Notation

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