Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Change the following numbers in scientific notation into standard form:

(a) [tex]$2.34 \times 10^5$[/tex]

(b) [tex]$4.56 \times 10^8$[/tex]

(c) [tex]$3.14 \times 10^9$[/tex]

(d) [tex]$6.02 \times 10^{23}$[/tex]

(e) [tex]$7.9 \times 10^{-3}$[/tex]

(f) [tex]$9.87 \times 10^{-4}$[/tex]

(g) [tex]$8.62 \times 10^{-7}$[/tex]

(h) [tex]$3.45 \times 10^{-8}$[/tex]

Sagot :

Certainly! Let's convert each number from scientific notation to standard form.

(a) [tex]\( 2.34 \times 10^5 \)[/tex]

To convert [tex]\( 2.34 \times 10^5 \)[/tex], we move the decimal point 5 places to the right:
[tex]\[ 2.34 \times 10^5 = 234000.0 \][/tex]

(b) [tex]\( 4.56 \times 10^8 \)[/tex]

To convert [tex]\( 4.56 \times 10^8 \)[/tex], we move the decimal point 8 places to the right:
[tex]\[ 4.56 \times 10^8 = 455999999.99999994 \][/tex] (or approximately [tex]\( 456000000 \)[/tex])

(c) [tex]\( 3.14 \times 10^9 \)[/tex]

To convert [tex]\( 3.14 \times 10^9 \)[/tex], we move the decimal point 9 places to the right:
[tex]\[ 3.14 \times 10^9 = 3140000000.0 \][/tex]

(e) [tex]\( 6.02 \times 10^{23} \)[/tex]

To convert [tex]\( 6.02 \times 10^{23} \)[/tex], we move the decimal point 23 places to the right:
[tex]\[ 6.02 \times 10^{23} = 6.019999999999999 \times 10^{23} \][/tex] (approximately [tex]\( 6.02 \times 10^{23} \)[/tex])

(f) [tex]\( 7.9 \times 10^{-3} \)[/tex]

To convert [tex]\( 7.9 \times 10^{-3} \)[/tex], we move the decimal point 3 places to the left:
[tex]\[ 7.9 \times 10^{-3} = 0.0079 \][/tex]

(g) [tex]\( 9.87 \times 10^{-4} \)[/tex]

To convert [tex]\( 9.87 \times 10^{-4} \)[/tex], we move the decimal point 4 places to the left:
[tex]\[ 9.87 \times 10^{-4} = 0.000987 \][/tex]

(j) [tex]\( 8.62 \times 10^{-7} \)[/tex]

To convert [tex]\( 8.62 \times 10^{-7} \)[/tex], we move the decimal point 7 places to the left:
[tex]\[ 8.62 \times 10^{-7} = 8.619999999999999 \times 10^{-7} \][/tex] (approximately [tex]\( 0.000000862 \)[/tex])

(k) [tex]\( 3.45 \times 10^{-8} \)[/tex]

To convert [tex]\( 3.45 \times 10^{-8} \)[/tex], we move the decimal point 8 places to the left:
[tex]\[ 3.45 \times 10^{-8} = 3.4500000000000004 \times 10^{-8} \][/tex] (approximately [tex]\( 0.0000000345 \)[/tex])

Thus, the standard form of each number is:

(a) [tex]\( 234000.0 \)[/tex]

(b) [tex]\( 455999999.99999994 \)[/tex] or (approximately [tex]\( 456000000 \)[/tex])

(c) [tex]\( 3140000000.0 \)[/tex]

(e) [tex]\( 6.019999999999999 \times 10^{23} \)[/tex]

(f) [tex]\( 0.0079 \)[/tex]

(g) [tex]\( 0.000987 \)[/tex]

(j) [tex]\( 8.619999999999999 \times 10^{-7} \)[/tex] or (approximately [tex]\( 0.000000862 \)[/tex])

(k) [tex]\( 3.4500000000000004 \times 10^{-8} \)[/tex] or (approximately [tex]\( 0.0000000345 \)[/tex])
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.