Solve for Missing Values: Complete ?:?+23×1=23 Equation

Q: Why can't the first missing value be anything other than 0?

Because we need $ ?:? = 0 $ to make the equation work. Zero divided by any non-zero number equals zero, but any other number divided by anything won't give us zero.

Q: Can the second missing value be any number?

Almost! The second value can be any non-zero number because $ 0 \div \text{anything} = 0 $. We chose 2, but 1, 3, 5, or 100 would all work!

Q: What does the colon (:) mean in math?

The colon (:) is another way to write division, just like the ÷ symbol. So $ 6:2 $ means $ 6 \div 2 = 3 $.

Q: Why do we multiply 23×1 before adding?

Because of PEMDAS (order of operations)! Multiplication comes before addition, so we must calculate $ 23 \times 1 = 23 $ first, then add it to our division result.

Q: What if I chose different values like 4:2?

Let's check: $ 4:2 + 23 = 2 + 23 = 25 \neq 23 $. This doesn't equal 23, so it's wrong! Only zero as the first value makes the equation true.

Division Operations with Zero Values

Fill in the missing values (?):

$?:?+23\times1=23$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the suitable unknowns

00:04 We'll substitute each option and calculate, we want to get a quotient of 0

00:09 Always solve multiplication and division before addition and subtraction

00:21 Any number multiplied by 1 is always equal to itself

00:29 These unknowns don't fit, let's continue to the next ones

00:38 Let's calculate

00:52 These unknowns don't fit, let's continue to the next ones

01:01 Let's calculate

01:12 These unknowns don't fit, let's continue to the next ones

01:22 0 multiplied by any number is always equal to 0

01:33 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 values (?):

$?:?+23\times1=23$

Step-by-step solution

Let's solve the problem step by step:

The expression given is $?:? + 23 \times 1 = 23$ . We will analyze the parts:

First, simplify $23 \times 1$ , which equals $23$ .
Therefore, the problem reduces to $?:? + 23 = 23$ .
For the equation to hold, the addition with 23 must be zero: $?:?$ must simplify to zero.
The only way for $?:?$ to be zero is if it is $0:2$ , because dividing zero by any non-zero number results in zero.

Thus, the division $0:2$ gives us $0$ , satisfying $0 + 23 = 23$ .

Therefore, the missing values are $0, 2$ .

Final Answer

$0,2$

Key Points to Remember

Essential concepts to master this topic

Order of Operations: Multiplication happens before addition in the expression
Technique: Simplify $23 \times 1 = 23$ first, then solve
Check: Substitute: $0:2 + 23 = 0 + 23 = 23$ ✓

Common Mistakes

Avoid these frequent errors

Ignoring order of operations and solving division first
Don't solve ?:? first before handling 23×1 = wrong order! This violates PEMDAS and leads to incorrect equations. Always multiply first, then work with the remaining addition.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why can't the first missing value be anything other than 0?

Because we need $?:? = 0$ to make the equation work. Zero divided by any non-zero number equals zero, but any other number divided by anything won't give us zero.

Can the second missing value be any number?

Almost! The second value can be any non-zero number because $0 \div \text{anything} = 0$ . We chose 2, but 1, 3, 5, or 100 would all work!

What does the colon (:) mean in math?

The colon (:) is another way to write division, just like the ÷ symbol. So $6:2$ means $6 \div 2 = 3$ .

Why do we multiply 23×1 before adding?

Because of PEMDAS (order of operations)! Multiplication comes before addition, so we must calculate $23 \times 1 = 23$ first, then add it to our division result.

What if I chose different values like 4:2?

Let's check: $4:2 + 23 = 2 + 23 = 25 \neq 23$ . This doesn't equal 23, so it's wrong! Only zero as the first value makes the equation true.

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