Powers of Ten
2.8 x 102
280
Convert between mL and L. What is the rule using a power of 10 in exponential notation?
÷ 103
Use an estimate to place the decimal point in each product
a. 38.4 x 6.1 = 2 3 4 2 4
b. 2.78 x 14.6 = 4 0 5 8 8
a. 234.24
b. 40.588
Make an estimate for 6.71 ÷ 2 =
7 ÷ 2 = 3.5
8 ÷ 2 = 4
According to the line plot on your study guide, what is the most common weight of the rocks in his collection?
7 3/4 ounces
2.8 x 104
28,000
Convert between m to cm and write a rule using a power of 10 in exponential rotation.
x 102
Use estimation to place the decimal point in the product. 15.2 x 9.1 = 1 3 8 3 2
138.32
3.355
What are 3 things that need to be included on a line plot?
title, units/label, and use X's
14.3 ÷ 103
0.0143
A rectangular one-story house covers an area of 2,600 square feet. The ceilings are 9 feet high. What is the volume of the interior of the house? Include the number model
2,600 x 9 = h
Volume = 23,400 ft3
14.7 x 3.2 =
47.04
What are the 4 steps to solving a long division problem that are repeated until their is "nothing left to do"
DIVIDE, MULTIPLY, SUBTRACT, BRING IT DOWN
What is the are 2 lightest rocks according to the line plot on your study guide?
5 1/4 ounces and 5 1/2 ounces
14.3 x 10
14.3 ÷ 106
143
0.0000143
The owners added a second floor to the house. The second floor is 60 feet long and 20 feet wide with ceilings that are 8 feet tall. What is the volume of the interior of the second floor? What is the volume of the whole house? Include a number model
second floor, V = 60 x 20 x 8 = 9,600 ft3
Whole house, V = 23,400 + 9,600 = 33,000 ft3
26.8 x 37.3 =
999.64
Write an equivalent problem for 4.8 ÷ 0.6 =
Whats the answer?
How many places did you move the decimal point?
48 ÷ 6 = 8
1
According to the line plot on your study guide, what is the combined weight of the heaviest rocks? Include the number model.
7 1/4 + 7 3/4 + 7 3/4 + 7 3/4 + 8 1/4 = x
38 3/4
Multiplying: the decimal point should be moved to the right because multiplying by power of ten is 10 times as much as the original number.
Dividing: the decimal point should be moved to the left because dividing by power of ten is 10 times smaller as the original number.
Kamryn is conducting an experiment for a science project. She is creating a mixture that requires 1.8 liters to complete. She needs 50 milliliters more to have enough of the mixture. How much of the mixture does she currently have?
1.8L = 1,800mL or 50mL = 0.05L
1,800mL - 50mL = 1,750mL or 1.8L - 0.05L = 1.75L
Answers: 1,750mL - 1.75L
62.7 x 90.3 =
5661.81
What is 16.12 ÷ 1.24 =
Write an estimate, equivalent problem and solve.
16 ÷ 1 = 16
13
According to the line plot on your study guide, what is the difference between the heaviest and lightest rocks? Include the number model.
8 1/4 - 5 1/4 = x
The difference is 3 ounces