Solving Multi-Step Word Problems with Decimal Multiplication
To solve multi-step word problems involving decimal multiplication, identify the operations needed in sequence, convert decimals to fractions to multiply, convert the product back to a decimal, then use the result in subsequent addition or subtraction steps. This Grade 5 math skill from Eureka Math Chapter 23 covers multiplication of a fraction by a fraction in decimal problem contexts.
Key Concepts
To solve a multi step word problem involving decimal multiplication, first break down the problem to identify all the necessary operations and their order. When a step requires multiplying decimals, apply the conversion method: change the decimals to fractions, multiply the fractions, and convert the product back to a decimal. Use this result to complete the remaining steps (like addition or subtraction) to find the final solution.
Common Questions
How do you solve a multi-step decimal multiplication word problem?
Identify all needed operations in order, use fractions to multiply any decimals together, convert products back to decimals, then complete remaining addition or subtraction steps to find the final answer.
How do you multiply two decimals using fractions?
Convert each decimal to a fraction (e.g., 0.8 becomes 8/10), multiply the fractions, then convert the product back to a decimal (e.g., 40/100 becomes 0.40).
What is an example of a multi-step decimal multiplication problem?
A bottle has 0.8 liters of juice. Maria drinks 0.5 of it. Find 0.8 times 0.5 equals 0.40 liters drunk. Then if her brother pours out 0.1 liters more: 0.8 minus 0.4 minus 0.1 equals 0.3 liters remain.
What is the first step when solving a multi-step word problem?
Read the problem carefully and identify the sequence of operations needed before calculating, creating a plan that breaks the problem into manageable single-step calculations.