Solve the Multiplication Problem: Calculate 6 × 29

Multiplication Strategies with Distributive Property

6×29= 6\times29=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's solve this math problem together.
00:07 First, we'll use the distributive law. Ready?
00:11 Break down 29 into 30 minus 1. It's easy!
00:17 Now, multiply each part separately. Then subtract.
00:30 Solve each multiplication. Then, let's subtract.
00:39 And that's how we find the solution! Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

6×29= 6\times29=

2

Step-by-step solution

To make solving easier, we break down 29 into more comfortable numbers, preferably round ones.

We obtain:

6×(301)= 6\times(30-1)=

We multiply 6 by each of the terms in parentheses:

(6×30)(6×1)= (6\times30)-(6\times1)=

We solve the exercises in parentheses and obtain:

1806=174 180-6=174

3

Final Answer

174

Key Points to Remember

Essential concepts to master this topic
  • Strategy: Break down numbers into easier parts for mental calculation
  • Technique: Use 6×(30-1) = 6×30 - 6×1 = 180 - 6 = 174
  • Check: Verify by direct multiplication or reverse: 174 ÷ 6 = 29 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to subtract after using distributive property
    Don't calculate 6×(30-1) as just 6×30 = 180! This ignores the subtraction and gives the wrong answer. Always complete both operations: multiply by each term, then subtract 6×1 from 6×30.

Practice Quiz

Test your knowledge with interactive questions

\( 140-70= \)

FAQ

Everything you need to know about this question

Why break 29 into 30-1 instead of just multiplying directly?

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Breaking it down makes the math easier in your head! Multiplying by 30 is simple (just add a zero to 6×3), then subtract 6. This method helps you avoid mistakes with larger numbers.

Could I break down 29 differently, like 20+9?

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Absolutely! You could use 6×(20+9)=6×20+6×9=120+54=174 6×(20+9) = 6×20 + 6×9 = 120 + 54 = 174 . Both methods work - choose whichever feels easier for you!

What if I get confused about whether to add or subtract?

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Look carefully at how you broke down the number! If you wrote 30-1, you subtract. If you wrote 20+9, you add. The sign in your breakdown tells you what to do.

Is this method faster than regular multiplication?

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For mental math, yes! It's much faster to calculate 6×30-6 in your head than to work through 6×29 step by step. With practice, you'll solve these problems in seconds!

How do I know if I applied the distributive property correctly?

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Check that you multiplied 6 by each part inside the parentheses. For 6×(30-1), you should get two separate multiplications: 6×30 and 6×1, then combine them.

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