Conversions
comparing
word problems
hodgepodge
100

convert to standard form:

4.25 x 10^5

425,000

100

compare, using <, >, or =:

4.37 x 10^5  ____  4.73 x 10^5

<

100

An ant carries a spec of food home that is 2.34 X 10^-3 inches and his wife carries home a spec of food that is 4.56 X 10^-2 . What is the combined length of their specs of food?

0.04794 inches

100

What property is illustrated by the equation 

4 + (3 + 5) = (4 + 3) + 5

Associative

200

convert to scientific notation:

the mass of the earth's atmosphere 

5,700,000,000,000,000 tons

5.7 x 10^15

200

Compare, using <, >, or =:

8.7 x 10^4  ____  4.38 X 10^7

<

200

Earth is approximately 9.3 X 10^7 miles from the sun and Saturn is approximately 8.87 X 10^8 miles from the sun Approximately, how much further is Saturn from the sun than Earth?  Write your answer in scientific notation.

7.94 x 10^8 miles

200

Give an example of an irrational number.

answers vary

300

convert to standard form:

8.73 x 10^-3

0.00873

300

compare, using <, >, or =:

9.2 x 10^-5  _____  9.2 x 10^-8

>

300

The Earth has a mass of 1 x 10^25 kg.  Neptune's mass is 1.8 x 10^27 kg.  How many times greater is Neptune's mass than Earth's mass?

180 times bigger

300

solve for x:

3(x - 4) = 2x + 6

x = 18

400

convert to scientific notation:

the mass of the smallest insect, a parasitic wasp

0.00000492 grams

4.92 x 10^-6

400
compare, using <, >, or =:


3.42 x 10^-4 _____ 0.000342

=

400
Light travels through space at a constant speed of 

3 x 10^5 km/sec.  Earth is about 1.5 x 10^8 km from the sun.  How long does it take for light from the sun to reach the earth?  

500 seconds

400

Identify the slope and y-intercept of the line 

y = 2/3x - 5

slope = 2/3

y=intercept = -5

500

Which number is in correct scientific notation?

a.  4.37 x 100^5

b.  83.2 x 10^-5

c.  5.42 x 10^-8

d.  0.22 x 10^12

c

500

List in order from least to greatest:

0.00035

8.7 x 10^-4 

5.68 x 10^-6

0.000043

5.68 x 10^-6

0.000043

0.00035

8.7 x 10^-4

500

Earth's crust contains approximately 120 trillion metric tons of gold.  One metric ton of gold is worth about $11.5 million.  What is the approximate value of the gold in the Earth's crust?

$1.38 x 10^21

500

Find two numbers whose sum is -5 and whose product is -84.

-12 and 7