Question

directions: write each number in scientific notation.

1. 64,000
2. 0.0000049
3. 750
4. 0.00000000152
5. 82,300,000
6. 0.09
7. 52,640
8. 127.5
9. 2,320
10. the sun’s core temperature reaches close to 27,000,000 degrees fahrenheit. write this number in scientific notation.

directions: write each number in standard form.

1. ( 5.3 \times 10^4 )
2. ( 9.92 \times 10^{-6} )
3. ( 4.1 \times 10^{-2} )
4. ( 2.726 \times 10^8 )
5. ( 8.4 \times 10^{-1} )
6. ( 1.45 \times 10^3 )
7. ( 9.392 \times 10^{-4} )
8. ( 6.02 \times 10^2 )
9. ( 3.7528 \times 10^6 )
10. the maximum upload size allowed for a file is ( 1.024 \times 10^8 ) bytes. write this number in standard form.

directions: place a < or > in the circle to complete each statement.

1. ( 3.05 \times 10^6 ) ( \bigcirc ) ( 8.25 \times 10^4 )
2. ( 5.729 \times 10^2 ) ( \bigcirc ) ( 6.84 \times 10^2 )
3. ( 2.5 \times 10^{-3} ) ( \bigcirc ) ( 7 \times 10^{-3} )
4. ( 6.27 \times 10^{-7} ) ( \bigcirc ) ( 1.8 \times 10^{-5} )

Explanation:

Problem 1: 64,000 in scientific notation

Step1: Move decimal to get \( a \)

Move decimal 4 places left: \( 6.4 \)

Step2: Determine exponent \( n \)

Since we moved 4 places, \( n = 4 \)

Step3: Write in scientific notation

\( 6.4 \times 10^{4} \)

Step1: Move decimal to get \( a \)

Move decimal 6 places right: \( 4.9 \)

Step2: Determine exponent \( n \)

Since we moved 6 places, \( n = -6 \)

Step3: Write in scientific notation

\( 4.9 \times 10^{-6} \)

Step1: Move decimal to get \( a \)

Move decimal 2 places left: \( 7.5 \)

Step2: Determine exponent \( n \)

Since we moved 2 places, \( n = 2 \)

Step3: Write in scientific notation

\( 7.5 \times 10^{2} \)

Answer:

\( 6.4 \times 10^{4} \)

Problem 2: 0.0000049 in scientific notation