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Converting Between Scientific and Numerical Notation>
Converting Between Scientific and Numerical NotationConverting Between Scientific and Numerical Notation
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Question 1 of 11
1. Question
Convert to scientific notation`251`Hint
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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 xx 10^n`.Move the decimal point until it turns into a number that is greater than or equal to `1` but is less than `10`.
`2.51` becomes the coefficient. Multiply this with the base `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 xx 10^2` -
Question 2 of 11
2. Question
Convert to scientific notation`6 358 000`Hint
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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 xx 10^n`.Move the decimal point until it turns into a number that is greater than or equal to `1` but is less than `10`.
`6.358` becomes the coefficient. Multiply this with the base `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 xx 10^6` -
Question 3 of 11
3. Question
Convert to scientific notation`3 600 000 000`Hint
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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 xx 10^n`.Move the decimal point until it turns into a number that is greater than or equal to `1` but is less than `10`.
`3.6` becomes the coefficient. Multiply this with the base `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 xx 10^9` -
Question 4 of 11
4. Question
Convert to scientific notation`0.00587`Hint
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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 xx 10^n`.Move the decimal point until it turns into a number that is greater than or equal to `1` but is less than `10`.
`5.87` becomes the coefficient. Multiply this with the base `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 xx 10^(-3)` -
Question 5 of 11
5. Question
Convert to scientific notation`730.5`Hint
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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 xx 10^n`.Move the decimal point until it turns into a number that is greater than or equal to `1` but is less than `10`.
`7.305` becomes the coefficient. Multiply this with the base `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 xx 10^2` -
Question 6 of 11
6. Question
Convert to numerical notation`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 xx 10^n`. The exponent represents the number of movements of the decimal point.A positive exponent `n` means that the decimal point will be moved `n` places to the right.$$5.037 \times 10^\color{#004ec4}{3}$$ $$=$$ $$ 5037 $$ Exponent `3` means `3` movements to the right `5037` -
Question 7 of 11
7. Question
Convert to numerical notation`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 xx 10^n`. The exponent represents the number of movements of the decimal point.A negative exponent `n` means that the decimal point will be moved `n` places to the left.$$8.91 \times 10^\color{#004ec4}{-4}$$ $$=$$ $$ 0.000891 $$ Exponent `-4` means `4` movements to the left `0.000891` -
Question 8 of 11
8. Question
Convert to numerical notation`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 xx 10^n`. The exponent represents the number of movements of the decimal point.A negative exponent `n` means that the decimal point will be moved `n` places to the left.$$7.3 \times 10^\color{#004ec4}{-9}$$ $$=$$ $$ 0.0000000073 $$ Exponent `-9` means `9` movements to the left `0.0000000073` -
Question 9 of 11
9. Question
Convert to numerical notation`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 xx 10^n`. The exponent represents the number of movements of the decimal point.A positive exponent `n` means that the decimal point will be moved `n` places to the right.$$3.0028 \times 10^\color{#004ec4}{6}$$ $$=$$ $$ 3002800 $$ Exponent `6` means `6` movements to the right `3002800` -
Question 10 of 11
10. Question
Convert to numerical notation`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 xx 10^n`. The exponent represents the number of movements of the decimal point.A negative exponent `n` means that the decimal point will be moved `n` places to the left.$$4.739 \times 10^\color{#004ec4}{-4}$$ $$=$$ $$ 0.0004739 $$ Exponent `-4` means `4` movements to the left `0.0004739` -
Question 11 of 11
11. Question
Convert to numerical notation`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 xx 10^n`. The exponent represents the number of movements of the decimal point.A positive exponent `n` means that the decimal point will be moved `n` places to the right.$$61.5 \times 10^\color{#004ec4}{3}$$ $$=$$ $$ 61500 $$ Exponent `3` means `3` movements to the right `61500`