Solved on Mar 17, 2024

Convert $1,374,000,000$ to scientific notation.

STEP 1

1. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10.
2. The number to be converted, $1,374,000,000$ , is a positive integer.

STEP 2

1. Identify the decimal point's new position to create a number between 1 and 10.
2. Count the number of places the decimal point has moved.
3. Write the number in scientific notation using the base number and the power of 10.

STEP 3

Determine where to place the decimal point to get a number between 1 and 10.
$1,374,000,000 \rightarrow 1.374$

STEP 4

Place the decimal point after the first non-zero digit to form the base number for scientific notation.
$1,374,000,000 \rightarrow 1.374$

STEP 5

Count the number of places the decimal point has moved from its original position to the new position.
The original number is $1,374,000,000$ and the decimal point is after the last zero. In $1.374$ , the decimal point is after the first digit.

STEP 6

The decimal point has moved 9 places to the left to get from $1,374,000,000$ to $1.374$ .
$1,374,000,000 \rightarrow 1.374 \times 10^9$

STEP 7

Write the number in scientific notation using the base number and the power of 10.
$1,374,000,000 = 1.374 \times 10^9$
The number $1,374,000,000$ in scientific notation is $1.374 \times 10^9$ .

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Convert $1,374,000,000$ to scientific notation.

STEP 1

1. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10.
2. The number to be converted, $1,374,000,000$ , is a positive integer.

STEP 2

1. Identify the decimal point's new position to create a number between 1 and 10.
2. Count the number of places the decimal point has moved.
3. Write the number in scientific notation using the base number and the power of 10.

STEP 3

Determine where to place the decimal point to get a number between 1 and 10.
$1,374,000,000 \rightarrow 1.374$

STEP 4

Place the decimal point after the first non-zero digit to form the base number for scientific notation.
$1,374,000,000 \rightarrow 1.374$

STEP 5

Count the number of places the decimal point has moved from its original position to the new position.
The original number is $1,374,000,000$ and the decimal point is after the last zero. In $1.374$ , the decimal point is after the first digit.

STEP 6

The decimal point has moved 9 places to the left to get from $1,374,000,000$ to $1.374$ .
$1,374,000,000 \rightarrow 1.374 \times 10^9$

STEP 7

Write the number in scientific notation using the base number and the power of 10.
$1,374,000,000 = 1.374 \times 10^9$
The number $1,374,000,000$ in scientific notation is $1.374 \times 10^9$ .

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Convert 1,374,000,0001,374,000,0001,374,000,000 to scientific notation.

STEP 1

1. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10.2. The number to be converted, 1,374,000,0001,374,000,0001,374,000,000, is a positive integer.

STEP 2

1. Identify the decimal point's new position to create a number between 1 and 10.2. Count the number of places the decimal point has moved.3. Write the number in scientific notation using the base number and the power of 10.

STEP 3

Determine where to place the decimal point to get a number between 1 and 10.1,374,000,000→1.374 1,374,000,000 \rightarrow 1.374 1,374,000,000→1.374

STEP 4

Place the decimal point after the first non-zero digit to form the base number for scientific notation.1,374,000,000→1.374 1,374,000,000 \rightarrow 1.374 1,374,000,000→1.374

STEP 5

Count the number of places the decimal point has moved from its original position to the new position.The original number is 1,374,000,0001,374,000,0001,374,000,000 and the decimal point is after the last zero. In 1.3741.3741.374, the decimal point is after the first digit.

STEP 6

The decimal point has moved 9 places to the left to get from 1,374,000,0001,374,000,0001,374,000,000 to 1.3741.3741.374.1,374,000,000→1.374×109 1,374,000,000 \rightarrow 1.374 \times 10^9 1,374,000,000→1.374×109

STEP 7

Write the number in scientific notation using the base number and the power of 10.1,374,000,000=1.374×109 1,374,000,000 = 1.374 \times 10^9 1,374,000,000=1.374×109The number 1,374,000,0001,374,000,0001,374,000,000 in scientific notation is 1.374×1091.374 \times 10^91.374×109.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Convert $1,374,000,000$ to scientific notation.

1. Scientific notation expresses numbers as a product of a number between 1 and 10 and a power of 10.
2. The number to be converted, $1,374,000,000$ , is a positive integer.

1. Identify the decimal point's new position to create a number between 1 and 10.
2. Count the number of places the decimal point has moved.
3. Write the number in scientific notation using the base number and the power of 10.

Determine where to place the decimal point to get a number between 1 and 10.
$1,374,000,000 \rightarrow 1.374$

Place the decimal point after the first non-zero digit to form the base number for scientific notation.
$1,374,000,000 \rightarrow 1.374$

Count the number of places the decimal point has moved from its original position to the new position.
The original number is $1,374,000,000$ and the decimal point is after the last zero. In $1.374$ , the decimal point is after the first digit.

The decimal point has moved 9 places to the left to get from $1,374,000,000$ to $1.374$ .
$1,374,000,000 \rightarrow 1.374 \times 10^9$

Write the number in scientific notation using the base number and the power of 10.
$1,374,000,000 = 1.374 \times 10^9$
The number $1,374,000,000$ in scientific notation is $1.374 \times 10^9$ .