Multiplying by Powers of 10
What is equivalent (the same as) to multiplying a number by 10³?
Multiplying by 10 three times
When dividing a number by 10³, how is the decimal point moved?
to the left (three times)
How many centimeters are equivalent to 2.45 meters?
(1 meter = 100 centimeters)
245 centimeters
Which number shows that the 6 is 10 times greater than the 6 in 241.076
a. 185.62
b. 9,027.86
B
Mandy can read a chapter in 20 minutes. How many chapters will she read in an hour?
(1 hour = 60 minutes)
3 chapters
Fill in the numbers missing from the pattern.
Multiply by 10:
0.009, ____, 0.9, ____, 90, ____
.09
9
900
4,960 ÷ 1,000= _____
4.96
How many pints of peaches are equivalent to 4 gallons of peaches?
(1 gallon = 8 pints)
32 pints
In which of the following numbers does the 5 represent 1/10 of the value that it has in the number 5.148?
a. 5.449
b. 9.533
c. 4.952
d. 4.495
B
Sarah and John are seeing who can throw a football farther. Sarah thew the football 67 yards, and John threw the football 150 feet. Who threw the football farther?
(1 yard = 3 feet)
Sarah
What is the missing power of 10?
4.7 x ____=4,700
10³
Which statement is TRUE?
a. 58 = 5.8 x 100
b. 6,000 = 6 ÷ 1,000
c. 0.74 = 740 ÷ 1,000
C
How many ounces are equivalent to 9 pounds? Show your work.
(16 ounces = 1 pound)
144 ounces
In which number does the 8 have the greater value?
184.36
9,027.83
184.36
Tony has two puppies. He records the mass of one puppy as 8.4 kilograms and the mass of the other puppy as 7,900 grams.
What is the total mass of the two puppies in kilograms?
(1 kilogram = 1,000 grams)
16.3 kilograms
The expression 0.391 x 10³ represents the total weight in pounds a baby elephant weighs. What is the total weight the baby elephant weighs?
391 pounds
Fill in the numbers missing from the pattern.
Divide by 10: 500, ____, 5, ____, 0.05, ____
50
0.5
0.005
How many inches are equivalent to 8 yards?
(1 yard = 3 feet)
(1 foot = 12 inches)
288 inches
Order the numbers from least to greatest:
0.736, 0.25, 0.13, 0.849
0.13, 0.25, 0.736, 0.849
Steven is playing at the playground and his friends decide to record how long it takes him to finish his first 3 activities. Steven plays on the swings for 360 seconds, goes up and down the slide for 65 seconds, and the crosses the monkey bars for 40 seconds. What is the total amount of time Steven spends on these activities?
Choose all that apply
(1 minute = 60 seconds)
a. 7 minutes, 15 seconds
b. 855 seconds
c. 465 seconds
d. 6 minutes, 15 seconds
C,D
Solve the following:
5.9 x _____= 59,000
5.9 x _____= 590
0.59 x ____= 590
0.059 x____= 5,900
10⁴
10²
10³
10⁵
Solve the following:
8,427 ÷ 10³ =_____
58.7 ÷ 10² =______
739 ÷ 10⁴ =______
12,749 ÷ 10⁴=______
8.427
0.587
0.0739
1.2749
How many meters are in 6.4 kilometers?
(1 Kilometer = 1,000 Meters)
6,400 meters
How many times greater is the 4 in 483.29 than the 4 in 39.41?
1,000 times greater
Eric works in a bakery. He needs to frost and decorate 32 cakes. It takes Eric 8 minutes to frost and decorate each cake. Which expression shows a correct way to find the number of hours Eric needs to frost and decorate 32 cakes?
(1 hour = 60 minutes)
(32x8) x60
(32/8) x60
(32/8) /60
(32x8) /60
(32x8) x60