Estimating Numbers Using Powers of 10

​Scientific notation is a way to write numbers that are either really big or really small using powers of 10. The chart to the right demonstrates how powers of 10 work.

Multiple Choice

Which represents the values of 10³?

• 10 + 10 + 10

• 10 x 10 x 10

• 10 x 3

We will estimate the population using powers of 10.

Multiple Choice

Estimate the population of Japan.

• 100,000,000

• 200,000,000

• 10,000,000

Multiple Choice

Compare the populations.

10⁹ __ 10⁸

• <

• >

• =

Multiple Choice

Which exponent will make this statement true?
10^? = 0.000001

• 6

• -6

• 7

• -7

Multiple Choice

• Row A

• Row B

• Row C

• Row D

Will this power of 10 have a positive or negative exponent?

​Estimate the thickness of a human hair to

0.0002​

​

Multiple Choice

What is 10⁰ equivalent to?

• 1

• 10

• 0

• 100

0.0002 =

2 x 10^?​

​

0.0002 =

2 x 10^-4

​

​

Multiple Choice

Estimate 0.0013 using a single digit.

• 0.001

• 0.002

Multiple Choice

What is scientific notation?

• A long way to write really short  numbers

• A short way to write really long numbers

• I don't know...

• None of the above

Multiple Choice

The rule of scientific notation is to write all exponents with a base of ____.

• 50

• 5

• 100

• 10

Multiple Choice

UNDERSTANDING
If the exponent is a positive number...

• you will get a large number

• you will get a smaller number

Multiple Choice

UNDERSTANDING
If the exponent is a negative number...

• you will get a large number

• you will get a small number

Multiple Choice

Write 7.113 x 10⁷ in standard form.

• 71,130,000

• 7,113,000

• 0.0000007113

• 7,113

Multiple Choice

Write 0.00000707 in scientific notation.

• 7.07 x 10^-6

• 7.07 x 10⁶

• 707 x 10⁸

• 707 x 10^-8

Multiple Choice

How would you write 50,000 in scientific notation?

• 50 x 10⁵

• 5 x 10⁴

• 5 x 10³

• .5 x 10³

Multiple Choice

Which number is correctly written in scientific notation?

• 3.2867 x 10^-7

• 21.8689 x 10^-4

• 0.1537 x 10⁵

Multiple Choice

Write in standard form: 
2.12 x 10^-3

• .00212

• .000212

• 2,120

Multiple Choice

What is the distance from 10 to -5 on a number line? 

• -15 spaces

• 10 spaces

• 15 spaces

• -5 spaces

Multiple Choice

The absolute value of |3| is -3.

• True

• False

Multiple Choice

What is absolute value?

• The value of a number

• The opposite of a number

• The distance of a number is from zero

Multiple Choice

Evaluate the expression.
| 9 |

• 0.9

• 9

• -9

• 90

Draw

A valley is 94 feet below sea level. What is the absolute value of the elevation difference between the valley and the sea level?

Multiple Choice

√100

• 15

• 10

• 11

• 12

Multiple Choice

Which of the following is a perfect square number?

• 9

• 12

• 15

• 20

Multiple Choice

Solve for x if x² = 144.

• 12

• 11

• 4

• 14

Multiple Choice

The area of a square is 36 cm².  What is the length of one side?

• 6 cm

• 24 cm

• 9 cm

• 9 cm

Multiple Choice

Order 2/3, 4/5, 8/15 and 3/5 from least to greatest

• 4/5, 2/3, 3/5, 8/15

• 8/15, 3/5, 2/3, 4/5

• 2/3, 3/5, 4/5, 8/15

• 2/3, 4/5, 3/5, 8/15

Draw

Order from least to greatest

0.4 , 2/11 , 17% , 0.25

Match

Match the following fractions to there percentages.

• $$\frac{3}{10}$$

• $$\frac{1}{4}$$

• $$\frac{1}{3}$$

• $$\frac{1}{5}$$

• $$\frac{2}{3}$$

30%

25%

33%

20%

67%

• 30%

• 25%

• 33%

• 20%

• 67%

Multiple Choice

Cora spends 2/3 of her free time blogging on the internet. Leah spends 60% of her free time blogging on the internet. Who spends more free time blogging?

• Leah

• Cora

Multiple Choice

This week Andres will practice with his band for $$1\ \frac{1}{2}$$ hours on Monday, $$1\ \frac{3}{4}$$ hours on Tuesday, and 2 hours on Wednesday. Next week Andres will practice with his band for the same number of hours on Monday, Tuesday, and Wednesday.

What is the total number of hours Andres will practice with his band over these 6 days?

• $$5\ \frac{1}{4}\ hours$$

• $$10\ \frac{1}{2}\ hours$$

• $$4\ \frac{1}{4}\ hours$$

• $$8\ \frac{1}{2}\ hours$$

Multiple Choice

Fatima paid for 5 pallets of grass to be delivered.

• Each pallet of grass cost $129.95.

• Fatima paid $76.20 for delivery.

What is the total amount Fatima paid?

• $725.95

• $649.75

• $581.95

• $1,030.75

Multiple Choice

A pair of boots are $94.99.  They are 25% off. With this discount, what is the sale price? Round to nearest cent if necessary.

• $71.24

• $118.74

• 23.7475

• $23.75

Multiple Choice

Kimberly's family has a dinner bill of $26 and wants to leave a 15% tip for their server. How much tip are they leaving?

• 29.90

• 39.00

• 4.00

• 3.90

Multiple Choice

At a French restaurant, you order a salad for $2.50 and lasagna for $8.25. If the sales tax is 8%, what is the total of your bill including sales tax?

• $11.61

• $0.86

• $9.89

• $19.89

Multiple Choice

The regular price of a sofa is $599.99. 
If there is a 20% discount and
the sales tax is 6%
(based on the discounted price),
How much will the sofa cost?

• $508.79

• $479.99

• $635.99

• $489.59

Multiple Choice

• F

• G

• H

• J

Multiple Choice

• F

• G

• H

• J