Identify the numbers to be multiplied: 34.04 and 0.56.
Set up the multiplication problem: .
Ignore the decimal points initially and multiply the numbers as if they were whole numbers: .
Count the total number of decimal places in the original numbers. 34.04 has 2 decimal places and 0.56 has 2 decimal places, for a total of 4 decimal places.
Place the decimal point in the product so that it has 4 decimal places.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Multiplication of Decimals
Multiplying decimals involves multiplying the numbers as if they were whole numbers and then placing the decimal point in the product. The total number of decimal places in the factors determines the placement of the decimal in the result. For example, in 34.04 (two decimal places) and 0.56 (two decimal places), the product will have four decimal places.
The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. In multiplication and division, operations are performed from left to right. This concept is crucial when dealing with multiple operations in a single expression, ensuring that calculations are executed correctly.
Significant figures are the digits in a number that contribute to its precision. When multiplying or dividing, the result should be reported with the same number of significant figures as the factor with the least significant figures. This concept is important for maintaining accuracy in calculations, especially in scientific and engineering contexts.