Powers of TEN
What are the three things that match when dealing with Powers of TEN?
AND
Which way does the decimal move when DIVIDING by a power of ten
zeroes, exponent, factors
left
What is the vocab word for when you are dividing decimals and you have to add a decimal and a zero to get rid of the remainder?
Annex
17.22/6
2.87
50.4/2.4
21
Ten posts were dug to secure a fence. A hole was dug for each post and a total of 23.5 pounds of concrete. An equal amount of concrete was poured in each hole. How much concrete was poured in each hole?
2.35 pounds of concrete
Jiselle bought 10 pencils from the school store and paid a total of $1.30. How much did each pencil cost?
Write an equation to show your work. Explain how the decimal point moves.
0.13 cents
1.30 / 10 = 0.13
The decimal point moves 1 jump to the left because there is 1 zero.
63/5
12.6
Axel is dividing 52.8 ounces of cereal equally into 9 bags. Which is the best way to ESTIMATE the amount of cereal in each bag?
a. 56/7 = 8
b. 54/9 = 6
c. 50/5 = 10
d. 55/11 = 5
B
77.86/0.85
91.6
A board is 10.17 feet long. Sofia needs to cut the board into 3 equal sections. How long will each section be?
3.39 feet
Which equation is true when the following number is used: 27.3
______ / 10 = 2.73
OR
______ / 10 = 27.3
27.3 / 10 = 2.73
413/6
68.83(repeating)
A panel in one hallway of Elian's school is rectangular with an area of 44.52 square feet. If the panel is 21 feet long, how wide is it?
a. 0.212 feet
b. 1.12 feet
c. 2.12 feet
d. 21.2 feet
C
95.28/1.2
79.4
Katia says that there should be a decimal point int he quotient below after the 6. Is she correct? Please explain your answer using mathematical reasoning.
69.48 / 7.2 = 965
Katia is correct, because when you move the decimal point 1 time in the divisor you should move it one time in the dividend as well. That puts a decimal after the 6 in the quotient
hundredth / by a tenth = a tenth
What is the value of the missing exponent in the equation to make the equation true?
720 / 10? = 0.720
a. 1
b. 2
c. 3
d. 4
Explain how you know you are correct?
C
The decimal moved 3 place values to the left.
A soccer team spent $216 on 15 new soccer balls. Each ball cost the same.
What is the exact cost of each soccer ball?
Estimate the cost of each soccer ball (Round to the nearest dollar)
$14.40
Estimate $14
One serving of Legna's tomato soup is 0.75 cup. How many servings are in a 72 cup pot?
Evaluate this expression to help you: 72 / 0.75
a. 104.2 servings
b. 96 servings
c. 10.42 servings
d. 9.6 servings
B
81.51/9.5
A box of paints contains 9 cans of different colors. Each can is the same weight. If the box weighs 20.25 pounds, how much does each can weigh?
DOUBLE JEOPARDY: How many pounds would each can weigh if there were only 6 cans in the box?
2.25 pounds
DOUBLE JEOPARDY: 3.375
Use the equation 3.4 / n = 0.34
What value of n makes the equation true? Write your value using an exponent.
Explain how your answer is correct
101
The decimal moves one place value to the left.
If 8 pounds of peanuts cost $12 dollars, how much does a single pound of peanuts cost?
DOUBLE JEOPARDY: How much would 10 pounds of peanuts cost?
$1.5 ($1.50)
$15
It took Santi 33 minutes to run 5.5 miles. Did he run faster or slower than 1 mile every 5 minutes? How do you know?
Faster, because he ran 1 mile every 6 minutes and 6 is greater than 5