High School

One way to divide decimal numbers is to use an equivalent expression. Complete the statements below to explain one way to find [tex]6.2 \div 3.1[/tex].

[tex]6.2 \div 3.1[/tex] is equivalent to [tex]62 \div 31[/tex]. The dividend and divisor were both multiplied by _____.

Answer :

Final answer:

In mathematics, one method to divide decimal numbers is by transforming the problem into a whole number division. In the example, 6.2 divided by 3.1 is turned into 62 divided by 31 by multiplying both the dividend and divisor by 10.

Explanation:

One key skill in mathematics is understanding how to divide decimal numbers. The statement you provided suggests a method to make the process easier: transforming the decimal division problem to a whole number division problem. In this case, 6.2 ÷ 3.1 has been converted to 62 ÷ 31. Hence, the value by which the divisor and dividend were multiplied is 10. This doesn't change the outcome of the division, simply simplifies the computation. This concept is important when dealing with decimal divisions.

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