Arrange the following decimals in descending order:
[tex]$42 \cdot 4, 42 \cdot 0, 4 \cdot 23, 43 \cdot 2, 23 \cdot 4$[/tex]
[tex]$32 \cdot 4$[/tex]
Answer (2)
We are given the decimals 42.4 , 42.0 , 4.23 , 43.2 , 23.4 , 32.4 .
Compare the numbers and arrange them from largest to smallest.
The numbers in descending order are 43.2 , 42.4 , 42.0 , 32.4 , 23.4 , 4.23 .
The final answer is 43.2 , 42.4 , 42.0 , 32.4 , 23.4 , 4.23 .
Explanation
Understanding the Problem We are given a set of decimal numbers and asked to arrange them in descending order. This means we need to list the numbers from largest to smallest. The given numbers are 42.4 , 42.0 , 4.23 , 43.2 , 23.4 , 32.4 .
Comparing the Numbers To arrange the numbers in descending order, we compare them and order them from largest to smallest. Comparing the numbers, we have:
43.2 is the largest. 42.4 is the next largest. 42.0 is the next largest. 32.4 is the next largest. 23.4 is the next largest. 4.23 is the smallest.
Arranging in Descending Order Therefore, the numbers in descending order are 43.2 , 42.4 , 42.0 , 32.4 , 23.4 , 4.23 .
Final Answer The decimals arranged in descending order are: 43.2 , 42.4 , 42.0 , 32.4 , 23.4 , 4.23
Examples
Understanding how to order numbers, including decimals, is essential in many real-life situations. For example, when comparing prices of items in a store, you need to be able to quickly determine which price is the lowest. Similarly, when analyzing data, such as test scores or sales figures, you need to be able to arrange the data in ascending or descending order to identify trends and patterns. This skill is also crucial in financial planning, where you might need to compare interest rates or investment returns to make informed decisions.
We calculated the products of the given decimals and found their values. The correct order from largest to smallest is: 168, 128, 92, 86, and 0. Thus, the decimals arranged in descending order are 168 , 128 , 92 , 86 , 0 .
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