Solve Sequential Division: 24:8:3 Step-by-Step

Q: Why don't we solve 8:3 first since it's smaller numbers?

Mathematical operations must follow the order of operations. When you have the same operation (like division), you always work from left to right. The size of the numbers doesn't matter!

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

The colon (:) is another way to write division, just like the ÷ symbol. So $ 24:8 $ means the same as $ 24÷8 $ or $ \frac{24}{8} $.

Q: Is 24:8:3 the same as 24:(8:3)?

No! Without parentheses, we work left to right: 24:8:3 = (24:8):3 = 3:3 = 1. But 24:(8:3) would equal $ 24 ÷ \frac{8}{3} = 24 × \frac{3}{8} = 9 $.

Q: How can I remember the left-to-right rule?

Think of reading! Just like you read words from left to right, you solve operations of the same type from left to right. It's the natural order!

Sequential Division with Left-to-Right Operations

$24:8:3=$

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Step-by-step video solution

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00:00 Solve

00:03 Let's solve according to the order of operations, solve from left to right

00:08 And this is the solution to the question

Step-by-step written solution

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Understand the problem

$24:8:3=$

Step-by-step solution

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

$24:8=3$

$3:3=1$

Final Answer

$1$

Key Points to Remember

Essential concepts to master this topic

Order Rule: Division operations are performed from left to right
Technique: First calculate 24:8=3, then calculate 3:3=1
Check: Verify by working backwards: 1×3=3, then 3×8=24 ✓

Common Mistakes

Avoid these frequent errors

Calculating 8:3 first instead of following left-to-right order
Don't calculate 8:3 first and get confused about what to do with 24! This ignores the fundamental order of operations rule. Always work from left to right when you have the same operation: 24:8:3 means (24:8):3.

Practice Quiz

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$$ 13+5+5= $$ ?

FAQ

Everything you need to know about this question

Why don't we solve 8:3 first since it's smaller numbers?

Mathematical operations must follow the order of operations. When you have the same operation (like division), you always work from left to right. The size of the numbers doesn't matter!

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

The colon (:) is another way to write division, just like the ÷ symbol. So $24:8$ means the same as $24÷8$ or $\frac{24}{8}$ .

Is 24:8:3 the same as 24:(8:3)?

No! Without parentheses, we work left to right: 24:8:3 = (24:8):3 = 3:3 = 1. But 24:(8:3) would equal $24 ÷ \frac{8}{3} = 24 × \frac{3}{8} = 9$ .

How can I remember the left-to-right rule?

Think of reading! Just like you read words from left to right, you solve operations of the same type from left to right. It's the natural order!

What if I got a different answer like 9 or 1/9?

Those answers come from incorrect order! 9 comes from doing 24÷(8÷3), and 1/9 comes from other wrong calculations. Always follow left-to-right for same operations.

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