Exponents
103 =
1,000
Describe how the digits shift when you multiply a number by 0.1
Each digit shifts to the right by one place.
82 x 0.7
57.4
A walking stick is 2.5 times as long as a praying mantis. If a praying mantis is 10 cm. long, how long is a walking stick?
25 cm.
Estimate to 7.65 x 0.9 =
8
(8 x 1)
92 =
81
Describe how the digits shift when you multiply a number by 10.
Each digit shifts to the left one place.
0.6 x 92 =
55.2
An atlas moth has a wingspan of 11 inches. What is the wingspan of 26 atlas moths?
286 inches
Estimate 3.8 x 6.02 =
24
(4 x 6)
Write as an equation with an exponent:
8 x 10 x 10 x 10 x 10=
8 x 104
When you mulitply by 100, each digit shifts to the _______ by ______ places.
left, two
0.8 x 74 =
59.2
Jodi's best score on a video game is 50 points. Mark's best score is 1.5 times as much as Jodi's score. How many points did Mark score on the video game?
75 points
Estimate 38 x 92 =
3600
(40 x 90)
0.76 x ? = 760
a. 101
b. 102
c. 103
c
When you multiply by .001 each digit shifts to the ______ by ______ places.
right, three
9.2 x 0.06
0.552
Jodi's best score on a video game is 50 points. Virginia's best score is 0.6 times as much as Jodi's score. How many points did Virginia score on the video game?
30 points
Multiply 7,952 x 8. Explain how you know your answer is reasonable. (Use estimation!)
Answer: 63, 616
My answer is reasonable because 7,952 rounds to 6,000 and 6,000 x 8 = 64,000
Which are equal to 430?
a. 43 x 102
b. 43 x 101
c. 4.3 x 102
d. 0.43 x 102
b and c
0.01 x 600 = 60,000
False
500 x 30 =
15,000
When you multiply 24.7 by 0.1 is the answer greater or less than 24.7?
less than
because the product is only a part of the factor and because multiplying by 0.1 is the same as dividing by 10.
One gallon of water weighs about 8.3 pounds. How much does 4.8 gallons weigh? Explain why your answer is reasonable.
Answer: 39.84 pounds
My answer is reasonable because 8.3 is about 8 and 4.8 is about 5. 8 x 5 = 40