All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 45000000 into scientific notation, follow these steps:
Move the decimal 7 times to left in the number so that the resulting number, m = 4.5, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 7
Write in the scientific notation form, m × 10n
= 4.5 × 107
Therefore, the decimal number 45000000 written in scientific notation is 4.5 × 107 and it has 2 significant figures.
2.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 12700000000 into scientific notation, follow these steps:
Move the decimal 10 times to left in the number so that the resulting number, m = 1.27, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 10
Write in the scientific notation form, m × 10n
= 1.27 × 1010
Therefore, the decimal number 12700000000 written in scientific notation is 1.27 × 1010 and it has 3 significant figures.
3.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.00000457 into scientific notation, follow these steps:
Move the decimal 6 times to right in the number so that the resulting number, m = 4.57, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -6
Write in the scientific notation form, m × 10n
= 4.57 × 10-6
Therefore, the decimal number 0.00000457 written in scientific notation is 4.57 × 10-6 and it has 3 significant figures.
4.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 78956000 into scientific notation, follow these steps:
Move the decimal 7 times to left in the number so that the resulting number, m = 7.8956, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 7
Write in the scientific notation form, m × 10n
= 7.8956 × 107
Therefore, the decimal number 78956000 written in scientific notation is 7.8956 × 107 and it has 5 significant figures.
5.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.0000000023 into scientific notation, follow these steps:
Move the decimal 9 times to right in the number so that the resulting number, m = 2.3, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -9
Write in the scientific notation form, m × 10n
= 2.3 × 10-9
Therefore, the decimal number 0.0000000023 written in scientific notation is 2.3 × 10-9 and it has 2 significant figures.
Answers & Comments
Answer:
1. 4.5 × 107
2. 1.27 × 1010
3. 4.57 × 10-6
4. 1.27 × 1010
5. 2.3 × 10-9
Step-by-step explanation:
1.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 45000000 into scientific notation, follow these steps:
Move the decimal 7 times to left in the number so that the resulting number, m = 4.5, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 7
Write in the scientific notation form, m × 10n
= 4.5 × 107
Therefore, the decimal number 45000000 written in scientific notation is 4.5 × 107 and it has 2 significant figures.
2.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 12700000000 into scientific notation, follow these steps:
Move the decimal 10 times to left in the number so that the resulting number, m = 1.27, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 10
Write in the scientific notation form, m × 10n
= 1.27 × 1010
Therefore, the decimal number 12700000000 written in scientific notation is 1.27 × 1010 and it has 3 significant figures.
3.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.00000457 into scientific notation, follow these steps:
Move the decimal 6 times to right in the number so that the resulting number, m = 4.57, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -6
Write in the scientific notation form, m × 10n
= 4.57 × 10-6
Therefore, the decimal number 0.00000457 written in scientific notation is 4.57 × 10-6 and it has 3 significant figures.
4.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 78956000 into scientific notation, follow these steps:
Move the decimal 7 times to left in the number so that the resulting number, m = 7.8956, is greater than or equal to 1 but less than 10
Since we moved the decimal to the left the exponent n is positive
n = 7
Write in the scientific notation form, m × 10n
= 7.8956 × 107
Therefore, the decimal number 78956000 written in scientific notation is 7.8956 × 107 and it has 5 significant figures.
5.
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.0000000023 into scientific notation, follow these steps:
Move the decimal 9 times to right in the number so that the resulting number, m = 2.3, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -9
Write in the scientific notation form, m × 10n
= 2.3 × 10-9
Therefore, the decimal number 0.0000000023 written in scientific notation is 2.3 × 10-9 and it has 2 significant figures.