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Reciprocal

What is a Reciprocal?

A reciprocal is what you get when you flip a number or fraction upside down.

  • For a whole number, put 1 over it.

  • For a fraction, swap the top and bottom numbers.

  • The reciprocal of a number multiplied by the number itself is always 1.



Examples:

Example 1: What is the reciprocal of 10?

Step 1: Turn 10 into a fraction:10 = 10/1

Step 2: Flip it upside down:1/10 is the reciprocal of 10

✔️ Answer: 1/10

Example 2: What is the reciprocal of -2/5?

Step 1: Flip the fraction:-2/5 becomes -5/2

Step 2: Keep the minus sign with the number.

✔️ Answer: -5/2


🎯 Top Tips:

🌟 Whole numbers? Just put 1 over the number to get the reciprocal.

Example: Reciprocal of 4 is 1/4.

🌟 Zero has no reciprocal!

➤ You can’t divide by 0, so zero doesn’t have a reciprocal.

🌟 Flip fractions, not signs!

Just flip the numbers. If it’s negative, keep the minus sign.

🌟 Check by multiplying!

A number × its reciprocal = 1 Example: 10 × 1/10 = 1


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