Question

use a tape diagram to model each problem. solve using a simplifying strategy or an algorithm, and write your answer as a statement.

1. sammy’s bucket holds 2,530 milliliters of water. marie’s bucket holds 2 liters 30 milliliters of water. katie’s bucket holds 2 liters 350 milliliters of water. whose bucket holds the least amount of water?
2. at football practice, the water jug was filled with 18 liters 530 milliliters of water. at the end of practice, there were 795 milliliters left. how much water did the team drink?
3. 27,545 milliliters of gas were added to a car’s empty gas tank. if the gas tank’s capacity is 56 liters 202 milliliters, how much gas is needed to fill the tank?

Explanation:

4.

Step1: Convert volumes to milliliters

1 liter = 1000 milliliters. Marie's bucket: 2 liters 30 milliliters = 2×1000 + 30=2030 milliliters. Katie's bucket: 2 liters 350 milliliters = 2×1000+350 = 2350 milliliters. Sammy's bucket holds 2530 milliliters.

Step2: Compare volumes

2030<2350<2530.

Step1: Convert initial volume to milliliters

18 liters 530 milliliters = 18×1000 + 530=18530 milliliters.

Step2: Calculate water drunk

Water drunk = Initial volume - Remaining volume. So, 18530 - 795=17735 milliliters.

Step1: Convert tank - capacity to milliliters

56 liters 202 milliliters = 56×1000+202 = 56202 milliliters.

Step2: Calculate gas needed

Gas needed = Tank - capacity - Gas added. So, 56202-27545 = 28657 milliliters.

Answer:

Marie's bucket holds the least amount of water.

5.