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To multiply by , move the decimal point in one place to the left. Thus, .
\( 0.1 \times 4.35 = \)
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.
You can also think of it as dividing by 10! Multiplying by 0.1 is exactly the same as dividing by 10, so .
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!
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 .
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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