Grade 5 Module 1 Lesson 4
Convert and Write an Equation with
an exponent.
Answer Key
Problem 1
a.
b.
c.
d.
e.
f.
g.
h.
5 m x 100 = 500 cm
60 ÷ 100 = 0.60 m
2300 ÷ 1000 = 2.3 L
0.4621 x 1000 = 462.1 ml
80.4 x 1000 = 80,400 m
0.725 x 1000 = 725 m
456 ÷ 1000 = 0.456 kg
0.3 x 1000 = 300 g
Problem 2
a.
b.
c.
d.
e.
2.7 km = 2.7 x 1000 = 2700 m
3.461 L = 3.461 x 1000 = 3461 ml
5.005 kg = 5.005 x 1000 = 5005 g
8 ml = 8 ÷ 1000 = .008 L
4079 g = 4079 ÷ 1000 = 4.079 kg
Problem 3
A dining room table measures 1.78 m long.
Express this measurement in millimeters.
a. 1 meter = 1000 millimeters. We multiply
1.78 x 1000, where the digits move 3 places
to the left of a place value chart. The result
will be 1780 ml
b. 1.78 x 103 = 1780 ml
Problem 4
Eric and Yi Ting commute to school every day.
Eric walks 0.81 km and Yi Ting walks 0.65 km.
How far did each of them walk in meters?
Explain your answer using an equation that
includes an exponent.
1 km = 1000 meters
0.81 x 1000 = 0.81 x 103 = 810 meters
0.65 x 1000 = 0.65 x 103 = 650 meters
Problem 5
There were 9 children at a birthday party. Each
child drank one 200 ml juice box. How many
liters of juice did they drink altogether? Explain
your answer using an equation that includes an
exponent.
9 x 200 ml = 1800 ml
1000 ml = 1 L
So 1800 ÷ 1000 or 1800 ÷ 103 = 1.8 L