Converting $46_7$ to Base 9
MathematicsNumber BasesEasy
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Question
20. $46_7$ ədədini doqquzluq say sisteminə təsvir edin. A) 27 B) 42 C) 37 D) 17 E) 56
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Step 1
Hi Ramal, let's solve this conversion problem together.
Problem Analysis
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Step 2
We need to convert the number forty-six in base seven to base nine. First, we convert the base seven number into the decimal system.
$$46_7 = (4 \times 7^1) + (6 \times 7^0)$$
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Step 3
Now, let's calculate the value. Seven to the power of one is seven, and seven to the power of zero is one.
$$46_7 = (4 \times 7) + (6 \times 1)$$
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Step 4
Four times seven is twenty-eight, and six times one is six. So, twenty-eight plus six equals thirty-four.
$$46_7 = 28 + 6 = 34_{10}$$
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