In these lessons, we will learn to use block models (or tape diagrams, bar models) to visualize and solve decimal work problems.
Here are some examples of decimal word problems. We will illustrate how block diagrams can be used to help you to visualize the decimal word problems in terms of the information given and the data that needs to be found. Block diagrams or bar modeling are used in Singapore Math and tape diagrams are used in Common Core Math.
The length of a ribbon is 1.28 m. The length of a rope is 2.74 m longer than the ribbon. What is the length of the rope?
1.28 + 2.74 = 4.02
The length of the rope is 4.02 m.
The mass of a jar of sugar is 1.9 kg. What is the total mass of 4 such jars of sugar?
1.9 × 4 = 7.6
The total mass of 4 such jars of sugar is 7.6 kg.
A pail holds 5.2 l of water. A bottle holds 3.9 l less water than the pail. What is the volume of water in the bottle?
5.2 – 3.9 = 1.3
The volume of water in the bottle is 1.3 l.
Susan has 4 times as much money as her sister. If Susan has $10, how much money does her sister have?
$10 ÷ 4 = $2.50
Susan’s sister has $2.50.
Solve word problems involving addition, subtraction, multiplication and division of decimal numbers.
Solving a 2-part decimals word problem using block modeling.
David took a walk around a park twice. He took 12.4 minutes to walk the first round. In the second round, he took 3.2 fewer minutes than he did the first round. How long did David take to complete his walk altogether?
How to solve decimal word problems using tape diagrams?
The following video shows an example of a decimal word problem.
Manny tracked the amount of food he ate from Monday to Friday. He ate 16.3 pounds of food. On Monday, he ate 3.2 pounds and on Tuesday, he ate 2.9 pounds. He ate an equal amount on the other three days. How much did he eat on those days?
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.