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Write down each of the following numbers in standard form. Namethe number too.(i) 750037 (ii) 1024839

Question

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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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