Powers of Ten
What number represents 103?
10 x 10 x10 = 1,000
45.6/ 10 =
4.56
A baker has 48 cupcakes and puts 6 on each tray. How many trays will he need?
48/ 6 = 8 trays
84/ 4 =
21
What digit is in the thousands place?
482,915
2
Multiply 4 x 102
4 x 100 = 400
3.2 x 100 =
320
Ms. Hill has 96 pencils to share equally among 8 students. How many pencils will each student get?
96/ 8 = 12 pencils
735/ 15 =
49
Write 0.06 as a fraction.
6/100
Which expression is equivalent to 700,000?
a. 7 x 104 b. 7 x 105 c. 70 x 104
b . 7 x 105
0.47 x 1,000 =
470
A store has 1,260 stickers packed equally into 35 bags. How many stickers are in each bag?
1,260/ 35 = 36
1,248/ 24 =
52
Write 5 29/1,000 as a decimal.
5.029
Multiply 0.8 x 103
0.8 x 1,000 = 800
528.9/ 100 =
5.289
A vegetable farmer picked 875 carrots and packed them into boxes that hold 24 carrots each. How many boxes will the farmer need?
875/ 24 =36 r 11, so the farmer will need 37 boxes.
3,276/ 42 =
78
Write these numbers in order least to greatest.
0.40 0.054 0.50
0.054 0.40 0.50
Complete the pattern:
6 x 101 = 60
6 x 102 = ?
6 x 105 = ?
6 x 100 = 600
6 x 100,000 = 600,000
Explain what happens to the decimal point when multiplying AND dividing by powers of ten.
The decimal point moves to the right when multiplying by powers of ten and to the left when dividing.
A stadium has 4, 560 seats arranged equally into 38 sections. How many seats will be in each section?
4,560/ 38 = 120 seats in each section
5,544/ 36 =
154
Explain why multiplying by 10, 100, and 1,000 changes the place value of each digit.
ex: 6x10=60 6x100=600 6x1,000=6,000
Each digit shifts to the left when multiplying by 10, 100, and 1,000, which increases its value by 10x for each place moved.