# What is the reciprocal of 1.6?

Is it 0.625

1. Yes it is, note 1.6 is one tenth of 16 and 16 is 2^4:

1/2 = 0.5

1/4 = 0.25

1/8 = 0.125

1/16 = 0.0625

just halving the numbers each iteration.

So 1/0.0625 is 16 therefore 1/0.625 is 1/1.6 from your knowledge of place value.

Of course the easy way is to shove it into a calculator.

2. 1.6 = 16/10 = 8/5

reciprocal = 5/8 ///// as a fraction

or = 5.00000000…. / 8 = 0.625 in decimal form

3. Yes, reciprocal of 1.6 = 1/1.6 = 0.625

4. 1 / 1.6 = 0.625 = 5/8

or 8/5= 1.6

8/5 —-> reciprocal 5/8

5. Yep, it is 0.625

you can check by multiplying the two together, it should equal 1.

1.6*0.625= 1

6. it is 1/1.6

the reciprocal is just it upside down

and every number is divided by 1

it is 0.625

so you are right

## What Does a Multiplicative Inverse or Reciprocal Mean?

A multiplicative inverse or reciprocal for a number n, denoted by 1n or n−1 (n to the power of minus one), is a number which when multiplied by n, their product is 1. In other words, the reciprocal of any number is one divided by that number. The reciprocal of a fraction xy is yx. To find the multiplicative inverse of a real number, just divide 1 by that number. Examples:

• The reciprocal of 7 is one senventh = 1/7 = 0,142857142857…)
• The reciprocal of 0.333… is 1 divided by 0.333…, or 3.

## Video on How To Find The Reciprocal of Whole Numbers, Fractions and Mixed Numbers

This excellent video explains how to find the reciprocal of a whole number, a fraction, as well as, the reciprocal of a mixed number.

↼ Click on the image to watch the video.

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