Powers of 10
When you multiply a number by 10, what does each digit in the number do?
a) Each digit shifts one place value to the right.
b) Each digit shifts one place value to the left.
c) Each digit shifts two place values to the right.
d) Each digit shifts two place values to the left.
b) Each digit shifts one place value to the left.
28 x 0.4
11.2
2 1/2 xx 1/3 =
5/2 xx 1/3 = 5/6
Tatiana can run 4 miles in one hour. How far can she run in 1/4 of an hour?
4 xx 1/4 = 1 mi
Match the expression to the product.
2.13 xx 10^3
21.3 2.13000 2.00013 213.0 2130
2130
Select the expression that is equivalent to 4 x 10 x 10. Select all that apply.
4 xx 10^2
40 xx 10^2
4 xx 10^3
40 xx 10^1
4 xx 100
Answers
4 xx 10^2
40 xx 10^1
4 xx 100
2.8 x 0.4 = ?
1.12
2 3/4 xx 1 1/5
11/4 xx 6/5 = 11/2 xx 3/5 = 33/10 or 3 3/10
An eagle has a wingspan that is 20 times as long as the wingspan of a sparrow. The sparrow has a wingspan of only 0.15 feet. What is the wingspan of the eagle?
20 x 0.15 = 3 feet
What is the correct value to make the equation true?
0.41 x ? = 430
10^1 or 10^2 or 10^3
10^3
What is the correct value to make the equation true?
0.41 x ? = 4.1
10^1 or 10^2 or 10^3
10^1
0.5 x 21 = ?
10.5
5 1/2 xx 1/3 = ?
11/2 xx 1/3 = 11/6 or 1 5/6
John has 0.86 times as much money as Mary. Mary has $1.50. How much money does John have?
0.86 x 1.50 = $1.29
when you multiply 23.7 by 0.1, is the answer greater than or less than 23.7? Without multiplying, explain how you know.
Less than because...
1- 0.1 is less than 1 whole.
2- the decimal moves to the left.
3- the digits move to the right.
Order (number) the products of the expressions from least to greatest.
2 x 30
3 x 0.02
300 x 21
30 x 0.2
200 x 3
2 x 30 3
3 x 0.02 1
300 x 20 5
30 x 0.2 2
200 x 3 4
2.1 x 0.05 = ?
0.105
Steve can write 5 1/2 pages in one hour. How many pages can he write in 1/3 of an hour?
5 1/2 xx 1/3 = 1 5/6
When you multiply 23.7 by 10 is the answer greater than or less than 56.7? Without multiplying, explain how you know.
Greater because...
1- 10 is greater than 1 whole.
2- the decimal moves to the right.
3- the digits move to the left.
Classify the following expressions as equal to 63, 630, or 6300?
6.3 xx 10^3
6.3 xx 10^1
63 xx 10^2
63 xx 10^1
Equal to 63
6.3 xx 10^1
Equal to 630
63 xx 10^1
Equal to 6300
6.3 xx 10^3
63 xx 10^2
Match the product to the expression.
14 x 0.3
1.4 x 0.3
0.6 x 19
1.9 x 0.06
0.114 11.4 4.2 0.42
14 x 0.3 = 4.2
1.4 x 0.3 = 0.42
0.6 x 19 = 11.4
1.9 x 0.06 = 0.114
Batman can run 4 1/3 miles in an hour. How many miles can he run in 1/2 of an hour.
2 1/6
Luna saves $13 dollars each month. She wants to have at least $150 saved in 12 months. Will Luna reach her goal? Explain your answer using words, a model, and an equation or equations.
Because she saves $13 a month for 12 months we will multiply 13 by 12.
13 x 12 = 156
Since 156 is greater than 150, Luna will meet her goal.
When you multiply a number by 10 what do the digits do? What does the decimal do?
a) They both move to the right.
b) They both move to the left.
c) The decimal moves to the right and the digits move to the left.
d) The decimal moves to the left and the digits move to the right.
c) The decimal moves to the right and the digits move to the left.