Respuesta :

The alligator is 82.8 inches long. We get this by multiplying 2.3 by 3 to get yards. Then we multiply our product by 12 to get the amount of inches.

The length of the alligator is 82.8 inches

Further explanation

An alligator is 2.3 yards, convert this to inches!

We know that:

[tex]\boxed {1 yard = 36 inches }[/tex]

so to find how much 1 yard in inches we just need to multiply 2.3 yards to 36 inches or we can write them in fraction as follow:

Let's say the the length we calculate in x

[tex]\boxed {\frac{ 1 yard}{36 inches} = \frac{2.3 yards}{x} }\\\boxed {= \frac{2.3 yards \times36 inches}{1 yard} }\\\boxed {= 82.8 inches }[/tex]

When doing a decimal number multiplication, the process is the same as a whole number multiplication. The difference is you need to remember where to put the decimal point. Here is an example:

2.3             ⇒ has 1 decimal place

 36  x        ⇒ has 0 decimal place

138

69   +

82.8            ⇒ has 1 decimal place

As you can see,

The first factor (2.3) has 1 decimal place, second factor (36) is a whole number which has 0 decimal place, so the result will has 1 decimal place (1+0)

When converting unit, we can use this three step:

  1. Write the conversion in fraction
  2. Multiply
  3. Cancel any unit that are both top and bottom

Here are another units of length:

[tex]\boxed {1 inch = 2.54 cm }\\\boxed {1 foot = 12 inches }\\\boxed {1 yard = 3 feet = 90 cm }[/tex]

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Keywords: conversion, converting yards to inches, fraction, decimal numbers multiplication, multiplication, two digit numbers multiplication