5.4 x 1000
5,400
78 ÷ 100
0.78
79 x 103
79,000
We are planning a water balloon fight. We found 2,498 balloons in the cupboard. ABOUT How many water balloons will we each of the 28 students get if we share them equally?
About 89 balloons each.
1,424 ÷ 89
16
0.29 x 100
29
3.27 ÷ 0.10
3.27
3,153 x 102
315,300
The 789 students in Brown Elementary are going on a field trip. Each bus holds 32 students. How many buses do they need?
789 ÷ 32 = 24.65625
So we need 25 buses
6 ÷ ½
12
0.9 x 0.01
.009
251.6 ÷ 100
2.516
4.7 x 104
47,000
If it takes ⅕ of a can of paint to cover one wall, how many walls can you paint with 2 cans of paint? Write an equation and solve it.
⅕ + ⅕ + ⅕ + ⅕ + ⅕ =
1 can = 5 walls… so 2 cans is 10 walls
½ ÷ 4
1/8
3446 x 10
34,460
Olivia solved the problems below and got all the answers correct.
259.4÷10=25.94
259.4÷100=2.594
259.4÷1,000=0.2594
What is happening to the decimal point in these problems. Explain why it works.
The decimal point is moving to the left for every power of ten in the divisor. Dividing by 10 moves it 1 place to the left, dividing by 100 moves it 2 places, dividing by 1,000 moves it 3 places, etc.
*For every power of 10 in the divisor, the quotient will be that many place values smaller than the dividend. The dividend is being divided by powers of 10 (in the divisor).
0.06 x 105
6,000
There was ¼ of a cake for John and his three friends to share. If they split the ¼ of the cake evenly among them, how much of the original cake did each of the 4 kids get?
Write an equation and solve the problem.
¼ ÷ 4 = 1/16
Sam solved the problems below and they are all correct.
39x10=390
39x102=3,900
39x103=39,000
39x104=390,000
Describe what is happening to the zeros and explain why it happens.
You place a zero to the right of a number for every power of 10 the number is multiplied. Multiplying by 10 adds 1 zero, multiplying by 100 adds 2 zeros, etc.
There is 1 more zero each time because each power of 10 makes the answer 10 times greater than the one before.
0.06 x 0.01
0.0006
888 ÷ 24
37
Fill in Factor Form and Exponential Form
Standard Form: 10,000
Factor Form: ?
Exponential Form: ?
Factor Form: 10 x 10 x 10 x 10
Exponential Form: 104
Josh paid $30.90 for 3 shirts.
When he tried to figure out how much each shirt cost, josh wasn’t sure where to put the decimal point. Which answer is correct and why?
A: $1.03
B:$103.00
C: $10.30
C. $30.90÷3 = $10.30
Which equations are equivalent to 450,000
A: 45 x 10
B: 0.45 x 10
C: 450 x 10
D: 4.5 x 10
A: 45 x 10 = 450,000
B: 0.45 x 10 = 450
C: 450 x 10 = 45,000
D: 4.5 x 10 = 450,000