Converting Between Scientific and Numerical Notation

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Question 1 of 11

1. Question
Convert to scientific notation

$251$ $251$
- 1. $2.51 \times 10^{1}$ $2.51 xx 10^1$
- 2. $2.51 \times 10^{- 2}$ $2.51 xx 10^(-2)$
- 3. $2.51$ $2.51$
- 4. $2.51 \times 10^{2}$ $2.51 xx 10^2$
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ .

Move the decimal point until it turns into a number that is greater than or equal to $1$ $1$ but is less than $10$ $10$ .

$2.51$ $2.51$ becomes the coefficient. Multiply this with the base $10$ $10$ raised to the number of movements made.

$251$ $=$ $2.51 \times 10^\color{#004ec4}{2}$ Movement to the left means a positive exponent

$2.51 \times 10^{2}$ $2.51 xx 10^2$
Question 2 of 11

2. Question
Convert to scientific notation

$6358000$ $6 358 000$
- 1. $6.358 \times 10^{6}$ $6.358 xx 10^6$
- 2. $6.358 \times 10^{7}$ $6.358xx 10^7$
- 3. $6.358 \times 10^{- 6}$ $6.358 xx 10^(-6)$
- 4. $6.358$ $6.358$
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ .

Move the decimal point until it turns into a number that is greater than or equal to $1$ $1$ but is less than $10$ $10$ .

$6.358$ $6.358$ becomes the coefficient. Multiply this with the base $10$ $10$ raised to the number of movements made.

$6358000$ $=$ $6.358 \times 10^\color{#004ec4}{6}$ Movement to the left means a positive exponent

$6.358 \times 10^{6}$ $6.358 xx 10^6$
Question 3 of 11

3. Question
Convert to scientific notation

$3600000000$ $3 600 000 000$
- 1. $3.6 \times 10^{10}$ $3.6 xx 10^(10)$
- 2. $3.6 \times 10^{- 9}$ $3.6 xx 10^(-9)$
- 3. $3.6$ $3.6$
- 4. $3.6 \times 10^{9}$ $3.6 xx 10^9$
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ .

Move the decimal point until it turns into a number that is greater than or equal to $1$ $1$ but is less than $10$ $10$ .

$3.6$ $3.6$ becomes the coefficient. Multiply this with the base $10$ $10$ raised to the number of movements made.

$3600000000$ $=$ $3.6 \times 10^\color{#004ec4}{9}$ Movement to the left means a positive exponent

$3.6 \times 10^{9}$ $3.6 xx 10^9$
Question 4 of 11

4. Question
Convert to scientific notation

$0.00587$ $0.00587$
- 1. $5.87 \times 10^{- 3}$ $5.87 xx 10^(-3)$
- 2. $58.7 \times 10^{4}$ $58.7 xx 10^4$
- 3. $5.87 \times 10^{3}$ $5.87 xx 10^3$
- 4. $5.87$ $5.87$
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ .

Move the decimal point until it turns into a number that is greater than or equal to $1$ $1$ but is less than $10$ $10$ .

$5.87$ $5.87$ becomes the coefficient. Multiply this with the base $10$ $10$ raised to the number of movements made.

$0.00587$ $=$ $5.87 \times 10^\color{#004ec4}{-3}$ Movement to the right means a negative exponent

$5.87 \times 10^{- 3}$ $5.87 xx 10^(-3)$
Question 5 of 11

5. Question
Convert to scientific notation

$730.5$ $730.5$
- 1. $7.305 \times 10^{1}$ $7.305 xx 10^1$
- 2. $7.305 \times 10^{- 2}$ $7.305 xx 10^(-2)$
- 3. $7.305 \times 10^{2}$ $7.305 xx 10^2$
- 4. $7.305 \times 10^{4}$ $7.305 xx 10^4$
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ .

Move the decimal point until it turns into a number that is greater than or equal to $1$ $1$ but is less than $10$ $10$ .

$7.305$ $7.305$ becomes the coefficient. Multiply this with the base $10$ $10$ raised to the number of movements made.

$730.5$ $=$ $7.305 \times 10^\color{#004ec4}{2}$ Movement to the left means a positive exponent

$7.305 \times 10^{2}$ $7.305 xx 10^2$
Question 6 of 11

6. Question
Convert to numerical notation

$5.037 \times 10^{3}$ $5.037 xx 10^3$
- (5037)
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ . The exponent represents the number of movements of the decimal point.

A positive exponent $n$ $n$ means that the decimal point will be moved $n$ $n$ places to the right.

$5.037 \times 10^\color{#004ec4}{3}$ $=$ $5037$ Exponent $3$ $3$ means $3$ $3$ movements to the right

$5037$ $5037$
Question 7 of 11

7. Question
Convert to numerical notation

$8.91 \times 10^{- 4}$ $8.91 xx 10^(-4)$
- (0.000891, .000891)
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ . The exponent represents the number of movements of the decimal point.

A negative exponent $n$ $n$ means that the decimal point will be moved $n$ $n$ places to the left.

$8.91 \times 10^\color{#004ec4}{-4}$ $=$ $0.000891$ Exponent $- 4$ $-4$ means $4$ $4$ movements to the left

$0.000891$ $0.000891$
Question 8 of 11

8. Question
Convert to numerical notation

$7.3 \times 10^{- 9}$ $7.3 xx 10^(-9)$
- (0.0000000073, .0000000073)
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ . The exponent represents the number of movements of the decimal point.

A negative exponent $n$ $n$ means that the decimal point will be moved $n$ $n$ places to the left.

$7.3 \times 10^\color{#004ec4}{-9}$ $=$ $0.0000000073$ Exponent $- 9$ $-9$ means $9$ $9$ movements to the left

$0.0000000073$ $0.0000000073$
Question 9 of 11

9. Question
Convert to numerical notation

$3.0028 \times 10^{6}$ $3.0028 xx 10^6$
- (3002800)
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ . The exponent represents the number of movements of the decimal point.

A positive exponent $n$ $n$ means that the decimal point will be moved $n$ $n$ places to the right.

$3.0028 \times 10^\color{#004ec4}{6}$ $=$ $3002800$ Exponent $6$ $6$ means $6$ $6$ movements to the right

$3002800$ $3002800$
Question 10 of 11

10. Question
Convert to numerical notation

$4.739 \times 10^{- 4}$ $4.739 xx 10^(-4)$
- (0.0004739, .0004739)
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ . The exponent represents the number of movements of the decimal point.

A negative exponent $n$ $n$ means that the decimal point will be moved $n$ $n$ places to the left.

$4.739 \times 10^\color{#004ec4}{-4}$ $=$ $0.0004739$ Exponent $- 4$ $-4$ means $4$ $4$ movements to the left

$0.0004739$ $0.0004739$
Question 11 of 11

11. Question
Convert to numerical notation

$61.5 \times 10^{3}$ $61.5 xx 10^3$
- (61500)
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Scientific notation is a way to represent very large or very small numbers in a compact form. It is in the format: $a \times 10^{n}$ $a xx 10^n$ . The exponent represents the number of movements of the decimal point.

A positive exponent $n$ $n$ means that the decimal point will be moved $n$ $n$ places to the right.

$61.5 \times 10^\color{#004ec4}{3}$ $=$ $61500$ Exponent $3$ $3$ means $3$ $3$ movements to the right

$61500$ $61500$

Converting Between Scientific and Numerical Notation

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