QuestionWhen you multiply 104.3 by 10, it shifts the decimal right: . Why does ?
Studdy Solution
STEP 1
Assumptions1. The initial decimal number is104.3. When multiplied by10, the decimal number becomes1,0433. When multiplied by0.10, the decimal number becomes10.43
STEP 2
First, let's understand what happens when a number is multiplied by10. Multiplying a number by10 essentially shifts the decimal point one place to the right.
STEP 3
Next, let's understand what happens when a number is multiplied by0.10. Multiplying a number by0.10 is the same as dividing the number by10. This essentially shifts the decimal point one place to the left.
STEP 4
So, when we multiply a number by10, we shift the decimal point to the right, making the number ten times larger. Conversely, when we multiply a number by0.10, we shift the decimal point to the left, making the number ten times smaller.
This is why104.3 becomes1,043 when multiplied by10 and becomes10.43 when multiplied by0.10.
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