Calculate the Product: -16 × 1 Integer Multiplication

Q: Why doesn't the negative sign disappear when I multiply by 1?

The number 1 is called the multiplicative identity because it never changes any number you multiply it by. So $ (-16) \times 1 $ stays exactly $ -16 $!

Q: What if I had multiplied by -1 instead?

Then you would get $ (-16) \times (-1) = +16 $! Multiplying by -1 flips the sign, but multiplying by +1 keeps everything the same.

Q: Is there a rule for multiplying negative numbers?

Yes! Negative × Positive = Negative. Since -16 is negative and 1 is positive, the answer must be negative: $ -16 $.

Q: How do I remember the multiplication identity property?

Think of it this way: "One of anything is still that thing!" One dog is still a dog, and $ 1 \times (-16) $ is still $ -16 $.

Q: What's the difference between (-16) × 1 and 16 × 1?

Both follow the same rule, but the signs matter! $ (-16) \times 1 = -16 $ while $ 16 \times 1 = 16 $. The 1 doesn't change the sign.

Integer Multiplication with Negative Numbers

Complete the following exercise:
$(-16)\cdot(1)=$

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Step-by-step video solution

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00:00 Solve

00:06 Negative times positive is always negative

00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Complete the following exercise:
$(-16)\cdot(1)=$

Step-by-step solution

Let's remember the rule:

$(+x)\times(-x)=-x$

Therefore, the sign of the exercise result will be negative:

$-16\times+1=-16$

Final Answer

$-16$

Key Points to Remember

Essential concepts to master this topic

Rule: Any number multiplied by 1 equals itself
Technique: $(-16) \times 1 = -16$ keeps the negative sign
Check: Since 1 is the multiplicative identity, the result must be -16 ✓

Common Mistakes

Avoid these frequent errors

Changing the sign when multiplying by 1
Don't think that multiplying by 1 changes the sign = getting +16 instead of -16! The number 1 is the multiplicative identity, meaning it never changes the original number. Always remember that any number times 1 equals exactly that same number.

Practice Quiz

Test your knowledge with interactive questions

What will be the sign of the result of the next exercise?

$(-2)\cdot(-4)=$

FAQ

Everything you need to know about this question

Why doesn't the negative sign disappear when I multiply by 1?

The number 1 is called the multiplicative identity because it never changes any number you multiply it by. So $(-16) \times 1$ stays exactly $-16$ !

What if I had multiplied by -1 instead?

Then you would get $(-16) \times (-1) = +16$ ! Multiplying by -1 flips the sign, but multiplying by +1 keeps everything the same.

Is there a rule for multiplying negative numbers?

Yes! Negative × Positive = Negative. Since -16 is negative and 1 is positive, the answer must be negative: $-16$ .

How do I remember the multiplication identity property?

Think of it this way: "One of anything is still that thing!" One dog is still a dog, and $1 \times (-16)$ is still $-16$ .

What's the difference between (-16) × 1 and 16 × 1?

Both follow the same rule, but the signs matter! $(-16) \times 1 = -16$ while $16 \times 1 = 16$ . The 1 doesn't change the sign.

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