Solve for ?: Finding the Missing Value in 5×0 + 39×? = 39

Q: Why does 5 × 0 = 0?

This is the zero property of multiplication! Any number multiplied by zero always equals zero. Think of it as having 5 groups of nothing - you still have nothing!

Q: Can I solve for ? in both terms at the same time?

No! Always simplify first. Calculate $ 5 \times 0 = 0 $, then you only have one term with ? to solve: $ 39 \times ? = 39 $.

Q: What if the first term wasn't zero?

If you had something like $ 5 \times 2 + 39 \times ? = 39 $, you'd calculate $ 5 \times 2 = 10 $ first, giving you $ 10 + 39 \times ? = 39 $ to solve.

Q: How do I divide 39 by 39 in my head?

Remember that any number divided by itself equals 1! So $ \frac{39}{39} = 1 $, just like $ \frac{5}{5} = 1 $ or $ \frac{100}{100} = 1 $.

Q: Why do we divide both sides by 39?

To isolate the unknown! When you have $ 39 \times ? = 39 $, dividing both sides by 39 leaves ? alone on one side: $ ? = \frac{39}{39} = 1 $.

Algebraic Equations with Zero Property

Fill in the missing value (?):

$5\times0+39\times?=39$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the unknown

00:04 Always solve multiplication and division before addition and subtraction

00:09 0 multiplied by any number always equals 0

00:23 These unknowns don't match, let's continue to the next ones

00:29 Let's calculate

00:42 These unknowns don't match, let's continue to the next ones

00:55 Any number multiplied by 1 always equals itself

01:01 These unknowns match, let's continue to the next ones

01:10 Let's calculate

01:22 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

Fill in the missing value (?):

$5\times0+39\times?=39$

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Calculate $5 \times 0$ .
Step 2: Substitute the result back into the equation.
Step 3: Simplify and solve for $?$ .

Now, let's work through each step:

Step 1: Calculate $5 \times 0$ .
Using the property of multiplication where any number times zero is zero, we have:
$5 \times 0 = 0$ .

Step 2: Substitute the result back into the equation:
The equation now becomes $0 + 39 \times ? = 39$ .

Step 3: Simplify and solve for $?$ :
This simplifies to $39 \times ? = 39$ .
To isolate $?$ , divide both sides by 39:
$? = \frac{39}{39} = 1$ .

Therefore, the solution to the problem is $1$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Zero Property: Any number multiplied by zero equals zero
Technique: Simplify $5 \times 0 = 0$ first, then solve remaining equation
Check: Substitute: $5 \times 0 + 39 \times 1 = 0 + 39 = 39$ ✓

Common Mistakes

Avoid these frequent errors

Ignoring the zero multiplication property
Don't try to solve for ? in both terms at once without simplifying first = confusion and wrong answers! This makes the problem seem harder than it is. Always calculate $5 \times 0 = 0$ first to simplify the equation.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does 5 × 0 = 0?

This is the zero property of multiplication! Any number multiplied by zero always equals zero. Think of it as having 5 groups of nothing - you still have nothing!

Can I solve for ? in both terms at the same time?

No! Always simplify first. Calculate $5 \times 0 = 0$ , then you only have one term with ? to solve: $39 \times ? = 39$ .

What if the first term wasn't zero?

If you had something like $5 \times 2 + 39 \times ? = 39$ , you'd calculate $5 \times 2 = 10$ first, giving you $10 + 39 \times ? = 39$ to solve.

How do I divide 39 by 39 in my head?

Remember that any number divided by itself equals 1! So $\frac{39}{39} = 1$ , just like $\frac{5}{5} = 1$ or $\frac{100}{100} = 1$ .

Why do we divide both sides by 39?

To isolate the unknown! When you have $39 \times ? = 39$ , dividing both sides by 39 leaves ? alone on one side: $? = \frac{39}{39} = 1$ .

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