MULTIPLYING WHOLE NUMBERS BY POWERS OF 10

To get the result of product of whole number and powers of 10 ,we can write the whole number followed by the number of zeros that we are multiplying.

Problem 1 :

Find the value

a)  1 x 10⁴ = 

b)  2 x 10³ = 

c)  62 x 10² = 

Problem 2 :

Complete the pattern :

a) 7 x 10³ = 

b) 7 x 10⁴ = 

c) 9 x _____  =  9000

d) 9 x _____ = 90000

e) 108 x  _____  = 108000

Problem 3 :

Ernesto and his sister Dora are playing a computer game. Ernesto has earned 200 points sofar. His sister has earned 50 times as many points. How many points has Dora earned ?

Problem 4 :

Mount Katahdin is the tallest mountain in Maine. It is about 5000 feet tall. Mount McKinley is the tallest mountain in the United states. It is four times as tall as Mount Katahdin. About how tall is Mount McKinley ?

Problem 5 :

Select the expression that is equivalent to 

8 x 10 x 10 x 10

a)  8 x 10²      b)  80 x 10²      c)  8 x 10³

d)  8 x (3 x 10)      e)  800 x 10¹      f)  8 x 100

Problem 6 :

John is a travel agent. This week he is planning tours for groups of 6, 8, 20 and 40 people. The table shows the cost of each tour per person.

a) A group of 6 people wants to take either the Caribean cruise or U.S train tour. How much more money would it cost to take the Caribean cruise ?

b)  A group of 20 people wants to go to the Carbbean Cruise. The Cruise ship offers a discount of 10% or 0.1 times the cost, for groups of more than 10 people. What is the discount per person ?

What is the total discount of 20 people ?

Problem 7 :

Jodi's best score on a video game is 50 points. Mark's best score on the game is 15 times as Jodi's score. Virginia's best score is 6 times Jodi's score.

a) How many points did Mark score on the video game ?

b) How many points did Virginia score on the game ?

Problem 8 :

Order the product from least to greatest.

a) 500 x 30

b)  3 x 50

c)  5 x 0.03

d)  50 x 0.3

e)  300 x 5

Problem 9 :

Select each item with a product equal to 26000

a)  2.6 x 10²             b)  26 x 10³       c)  0.26 x 10³

Problem 10 :

Select each product that is correct. 

a) 300 x 60  =  18000     b)  30 x 800  =  240

c)  27 x 100  =  2700       d)  60 x 10  =  6000