Write down each of the following numbers in standard form. Namethe number too.(i) 750037 (ii) 1024839
Question
Write down each of the following numbers in standard form. Name the number too.
(i) 750037
(ii) 1024839
Solution
Step 1: Break Down the Problem
We need to express the given numbers in standard form (also known as scientific notation). This involves writing each number as a product of a number between 1 and 10 and a power of 10.
Step 2: Relevant Concepts
The standard form of a number can be represented as: where and is an integer.
Step 3: Analysis and Detail
-
For :
- The decimal point in is implicitly at the end, moving it to get a number between 1 and 10 gives:
- The number is moved 5 places to the left, so:
-
For :
- Similarly, moving the decimal gives:
- The decimal is moved 6 places to the left, yielding:
Step 4: Verify and Summarize
Both numbers have been successfully converted to standard form by placing the decimal point appropriately and adjusting the exponent accordingly.
Final Answer
(i)
(ii)
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