Difference between revisions of "Find the Reciprocal"

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Reciprocals are helpful in all sorts of algebraic equations. For example when you are dividing one fraction by another you multiply the first by the Reciprocal of the 2nd. You might also need reciprocals when finding equations of lines.
 
Reciprocals are helpful in all sorts of algebraic equations. For example when you are dividing one fraction by another you multiply the first by the Reciprocal of the 2nd. You might also need reciprocals when finding equations of lines.
[[Category:Multiplication and Division]]
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[[Category: Multiplication and Division]]
 
[[Category:Fractions]]
 
[[Category:Fractions]]
  
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#Change the division problem to use whole numbers. The first step to [[Divide-Decimals|dividing decimals]] is to move the decimal point until all the numbers involved are whole numbers. As long as you move the decimal point the same number of spaces for both numbers, you'll get the correct answer.
 
#Change the division problem to use whole numbers. The first step to [[Divide-Decimals|dividing decimals]] is to move the decimal point until all the numbers involved are whole numbers. As long as you move the decimal point the same number of spaces for both numbers, you'll get the correct answer.
 
#*For example, you can take 1 ÷ 0.4 and rewrite it as 10 ÷ 4. In this case, you've moved each decimal place one space to the right, which is the same as multiplying each number by ten.
 
#*For example, you can take 1 ÷ 0.4 and rewrite it as 10 ÷ 4. In this case, you've moved each decimal place one space to the right, which is the same as multiplying each number by ten.
#Solve the problem using long division. Use [[Do-Long-Division|long division]] techniques to calculate the reciprocal. If you calculate it for 10 ÷ 4, you'll get the answer '''2.5''', the reciprocal of 0.4.
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#Solve the problem using long division. Use [[Do Long Division|long division]] techniques to calculate the reciprocal. If you calculate it for 10 ÷ 4, you'll get the answer '''2.5''', the reciprocal of 0.4.
  
 
== Tips ==
 
== Tips ==