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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

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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 N N can be represented as: N=a×10n N = a \times 10^n where 1a<10 1 \leq a < 10 and n n is an integer.

Step 3: Analysis and Detail

  1. For 750037 750037 :

    • The decimal point in 750037 750037 is implicitly at the end, moving it to get a number between 1 and 10 gives: 7.50037 7.50037
    • The number is moved 5 places to the left, so: 750037=7.50037×105 750037 = 7.50037 \times 10^5
  2. For 1024839 1024839 :

    • Similarly, moving the decimal gives: 1.024839 1.024839
    • The decimal is moved 6 places to the left, yielding: 1024839=1.024839×106 1024839 = 1.024839 \times 10^6

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) 750037=7.50037×105 750037 = 7.50037 \times 10^5
(ii) 1024839=1.024839×106 1024839 = 1.024839 \times 10^6

This problem has been solved

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