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# Scientific Notation (Grade 10)

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## Scientific Notation

1.
Which expression below is the number 3,000,000 (3 million) in scientific notation?
1. $1.0 xx 10^6$
2. $3.0xx 6^10$
3. $3.0 xx 10^6$
4. $3","000","000xx10^6$
2.
Write .0083 in scientific notation.
1. $8.3 xx 10^3$
2. $8.3 xx 10^4$
3. $8.3 xx 10 ^-3$
4. $8.3$
3.
Write the number 64,000 in scientific notation.
1. $6.4 xx 10^4$
2. $6.4 xx 10 ^ -4$
3. $6.4 xx 10 ^5$
4. $6.4 xx 10^-5$
4.
What is the number 0.00003007 expressed in scientific notation?
1. $3.007 xx 10^5$.
2. $3.7 xx 10^-5$.
3. $3.007 xx 10^-5$.
4. $3.007 xx 10^-4$.
5.
How do you express 1,870,000 in scientific notation?
1. $5.49 xx 10^-8$
2. $1.87 xx 10^-6$
3. $1.87 xx 10^6$
4. $187 xx 10^6$
6.
Perform the indicated computation. Give the answer in scientific notation.
$(6.9 xx 10^8)/(3 xx 10^5)$
1. $2.3 xx 10 ^3$
2. $2.3 xx 10^13$
3. $2.3 xx 10^-3$
4. $2.3 xx 10^4$
7.
Perform the indicated computation. Give the answer in scientific notation.
$(6.1 xx 10 ^5) (4 xx 10 ^-9)$
1. $2.44$
2. $2.44 xx 10 ^ 3$
3. $2.44 xx 10 ^ -3$
4. $2.44 xx 10 ^14$
8.
I. For each of the following numbers, by how many places must the decimal point be moved to express the number in scientific notation?

II. In each case will the exponent be positive, negative, or zero?

a. 55,651

b. 0.000008991

c. 2.04

d. 883,541

e. 0.09814

9.
Write the following in scientific notation.

8,345,000

0.0000124

8,670,000,000

10.
Write the following in standard notation.

$8.2 xx 10^8$

$5.68 xx 10^-3$

$4.839 xx 10^7$

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