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When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.
- a)same
- b)different
- c)not equal
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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When we have to add numbers in standard form, we convert them into num...
For example , 2.38 x 104 + 21.1 x 103 = 2.38 x 104 + 2.11 x 104 = 4.49 x 104
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When we have to add numbers in standard form, we convert them into num...
When we ha have to add numbers on standard form, we convert them into numbers with the
equal variable.
equal variable.
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When we have to add numbers in standard form, we convert them into num...
Adding Numbers in Standard Form
Adding numbers in standard form requires converting them into numbers with the same exponents. This process involves several steps:
Step 1: Write the numbers in standard form.
Step 2: Compare the exponents of the numbers.
Step 3: Adjust the exponents so that they are the same.
Step 4: Add the numbers.
Step 5: Write the answer in standard form.
Example:
Add 3.4 x 10^5 and 6.7 x 10^4.
Step 1: Write the numbers in standard form.
3.4 x 10^5 = 340,000
6.7 x 10^4 = 67,000
Step 2: Compare the exponents of the numbers.
The exponents are different: 5 and 4.
Step 3: Adjust the exponents so that they are the same.
To adjust the exponents, we need to move the decimal point in one or both numbers. In this case, we can move the decimal point in the second number one place to the right to make the exponent 5.
6.7 x 10^4 = 0.67 x 10^5
Step 4: Add the numbers.
340,000 + 0.67 x 10^5 = 340,000 + 67,000 = 407,000
Step 5: Write the answer in standard form.
407,000 = 4.07 x 10^5
Conclusion:
Therefore, the correct answer is option 'A', which states that we need to convert the numbers into numbers with the same exponents to add them in standard form.
Adding numbers in standard form requires converting them into numbers with the same exponents. This process involves several steps:
Step 1: Write the numbers in standard form.
Step 2: Compare the exponents of the numbers.
Step 3: Adjust the exponents so that they are the same.
Step 4: Add the numbers.
Step 5: Write the answer in standard form.
Example:
Add 3.4 x 10^5 and 6.7 x 10^4.
Step 1: Write the numbers in standard form.
3.4 x 10^5 = 340,000
6.7 x 10^4 = 67,000
Step 2: Compare the exponents of the numbers.
The exponents are different: 5 and 4.
Step 3: Adjust the exponents so that they are the same.
To adjust the exponents, we need to move the decimal point in one or both numbers. In this case, we can move the decimal point in the second number one place to the right to make the exponent 5.
6.7 x 10^4 = 0.67 x 10^5
Step 4: Add the numbers.
340,000 + 0.67 x 10^5 = 340,000 + 67,000 = 407,000
Step 5: Write the answer in standard form.
407,000 = 4.07 x 10^5
Conclusion:
Therefore, the correct answer is option 'A', which states that we need to convert the numbers into numbers with the same exponents to add them in standard form.
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When we have to add numbers in standard form, we convert them into numbers with the ________ exponents.a)sameb)differentc)not equald)None of theseCorrect answer is option 'A'. Can you explain this answer?
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