2. Find the following product.
2.5×0.25×5.5×0.01
Answers
Answer:
Step-by-step explanation:
Problem: Two students multiplied 0.2 by 0.4. Student 1 found a product of 0.8 and Student 2 found a product of 0.08. Which student had the correct answer? Explain.
Student 1 Student 2
Analysis: Let's convert each decimal to a fraction to help us solve this problem.
Factors Product
Fractions: x
=
Decimals: 0.2 x 0.4 = 0.08
If we multiply two tenths by four tenths, we get a product of eight hundredths.
Answer: Student 2 is correct since 0.2 x 0.4 = 0.08.
In the problem above, the product 0.08 is smaller than each individual factor. This is because you are finding a part of a part: 0.2 of 0.4 is 0.08. Thus, when you multiply two decimal factors, where each is less than one, the product will be less than each individual factor. Let's look at some more examples of multiplying decimals.
Car on highwayExample 1: Marina's car gets 44.8 miles per gallon on the highway. If her fuel tank holds 15.4 gallons, then how far can she travel on one full tank of gas?
Analysis: We can multiply 44.8 by 15.4 to solve this problem.
Step 1: Estimate the product.
Step 2: Multiply to find the product.
Multiply these decimals as if they were whole numbers. Ignore the decimal point.
Compensate by placing the decimal point in the product.
Answer:
0.03
Step-by-step explanation:
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