Grade 5 Module 1 Lesson 4

Convert and Write an Equation with an exponent. Answer Key

Problem 1

a. 5 m x 100 = 500 cmb. 60 ÷ 100 = 0.60 mc. 2300 ÷ 1000 = 2.3 Ld. 0.4621 x 1000 = 462.1 mle. 80.4 x 1000 = 80,400 mf. 0.725 x 1000 = 725 mg. 456 ÷ 1000 = 0.456 kgh. 0.3 x 1000 = 300 g

Problem 2

a. 2.7 km = 2.7 x 1000 = 2700 mb. 3.461 L = 3.461 x 1000 = 3461 mlc. 5.005 kg = 5.005 x 1000 = 5005 gd. 8 ml = 8 ÷ 1000 = .008 Le. 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 meters0.81 x 1000 = 0.81 x 103 = 810 meters0.65 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 ml1000 ml = 1 LSo 1800 ÷ 1000 or 1800 ÷ 103 = 1.8 L