Multiply: (-0.45) × 0 × (-0.35) × (-4) Using Zero Property

Zero Property with Multiple Negative Numbers

(0.45)×0×(0.35)×(4)= (-0.45)\times0\times(-0.35)\times(-4)= ?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Any number multiplied by 0 is always equal to 0
00:08 Therefore this multiplication also equals 0
00:11 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(0.45)×0×(0.35)×(4)= (-0.45)\times0\times(-0.35)\times(-4)= ?

2

Step-by-step solution

According to the order of operations, we will solve the exercise from left to right since the only operation in the exercise is multiplication:

(0.45)×0=0 (-0.45)\times0=0

Remember the rule that any number multiplied by 0 will equal 0, so any number multiplied in this exercise will equal 0:

0×(0.35)=0 0\times(-0.35)=0

0×(4)=0 0\times(-4)=0

3

Final Answer

0 0

Key Points to Remember

Essential concepts to master this topic
  • Zero Property: Any number multiplied by zero always equals zero
  • Technique: When 0 appears, stop calculating: (-0.45) × 0 = 0
  • Check: Once you get 0, all remaining multiplications equal 0 ✓

Common Mistakes

Avoid these frequent errors
  • Continuing to multiply after getting zero
    Don't calculate (-0.35) × (-4) = 1.4 then multiply by zero = wrong process! This wastes time and creates confusion about which operations matter. Always recognize that once you multiply by zero, the entire result is zero regardless of other numbers.

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

Do I need to worry about the negative signs when there's a zero?

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No! When any factor is zero, the sign of other numbers doesn't matter. The Zero Property overrides everything - the result is always zero.

Should I multiply the other numbers first then multiply by zero?

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You can, but it's unnecessary work! As soon as you see a zero factor, you know the answer is zero. Save time by applying the Zero Property immediately.

What if the zero isn't the first number?

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It doesn't matter where the zero appears! Whether it's 5×0×3 5 \times 0 \times 3 or 0×5×3 0 \times 5 \times 3 , the answer is always zero.

Why is this called the Zero Property?

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Because it's a fundamental rule: any number multiplied by zero equals zero. This property is so powerful that it makes all other factors irrelevant in multiplication.

Can I use this property with addition too?

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No! The Zero Property only works with multiplication. In addition, zero is the identity element: 5+0=5 5 + 0 = 5 , not zero.

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