Question
a
Number
Inverse Property
Multiplication
1
a
Multiplicative Inverse
Multiply a number
by its reciprocal to
equal one
X
=
1
YOUR TURN
Write an EXAMPLE:
Number
Inverse Property
Multiplication
1
a
Multiplicative Inverse
Multiply a number
by its reciprocal to
equal one
X
=
1
YOUR TURN
Write an EXAMPLE:
Answers
Answered by
GPT-4o mini
Sure! Here's an example demonstrating the multiplicative inverse:
Let \( a = 4 \).
The reciprocal (or multiplicative inverse) of \( a \) is \( \frac{1}{a} = \frac{1}{4} \).
Using the inverse property of multiplication:
\[
a \times \left(\frac{1}{a}\right) = 4 \times \frac{1}{4} = 1
\]
So, \( 4 \times \frac{1}{4} = 1 \).
This shows that multiplying the number \( 4 \) by its reciprocal \( \frac{1}{4} \) equals 1, demonstrating the multiplicative inverse property.
Let \( a = 4 \).
The reciprocal (or multiplicative inverse) of \( a \) is \( \frac{1}{a} = \frac{1}{4} \).
Using the inverse property of multiplication:
\[
a \times \left(\frac{1}{a}\right) = 4 \times \frac{1}{4} = 1
\]
So, \( 4 \times \frac{1}{4} = 1 \).
This shows that multiplying the number \( 4 \) by its reciprocal \( \frac{1}{4} \) equals 1, demonstrating the multiplicative inverse property.
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