Calculate 0.1 × 4.35: Decimal Multiplication Practice

Decimal Multiplication with Tenths

0.1×4.35= 0.1 \times 4.35 =

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Step-by-step written solution

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1

Understand the problem

0.1×4.35= 0.1 \times 4.35 =

2

Step-by-step solution

To multiply 0.1 0.1 by 4.35 4.35 , move the decimal point in 4.35 4.35 one place to the left. Thus, 0.1×4.35=0.435 0.1 \times 4.35 = 0.435 .

3

Final Answer

0.435 0.435

Key Points to Remember

Essential concepts to master this topic
  • Decimal Rule: Multiplying by 0.1 moves decimal point one place left
  • Technique: 4.35×0.1=0.435 4.35 \times 0.1 = 0.435 by shifting decimal
  • Check: Count decimal places: 1 + 2 = 3 total places ✓

Common Mistakes

Avoid these frequent errors
  • Moving decimal point the wrong direction
    Don't move the decimal point right when multiplying by 0.1 = gives 43.5 instead of 0.435! Moving right makes numbers bigger, but 0.1 makes them smaller. Always move the decimal point left when multiplying by numbers less than 1.

Practice Quiz

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\( 0.1 \times 4.35 = \)

FAQ

Everything you need to know about this question

Why does multiplying by 0.1 make the number smaller?

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Because 0.1 means one-tenth! When you take one-tenth of something, you're taking a small piece of it. Think of it like taking 1 slice from a 10-slice pizza - you get much less than the whole pizza.

Is there a faster way than moving decimal points?

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You can also think of it as dividing by 10! Multiplying by 0.1 is exactly the same as dividing by 10, so 4.35×0.1=4.35÷10=0.435 4.35 \times 0.1 = 4.35 ÷ 10 = 0.435 .

How do I remember which direction to move the decimal?

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Smaller multiplier, smaller result! Since 0.1 is less than 1, your answer should be smaller than 4.35. Moving left makes numbers smaller, so move left!

What if I multiply by 0.01 instead of 0.1?

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Then you'd move the decimal point two places left! Each zero after the decimal in your multiplier means one more place to move. So 4.35×0.01=0.0435 4.35 \times 0.01 = 0.0435 .

Can I use the standard multiplication algorithm instead?

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Yes, but it's much slower! You'd multiply 435 × 1 = 435, then place the decimal to get 3 total decimal places: 0.435. The decimal-shifting method is faster for powers of 10.

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