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WorksheetsScientific Notation and Significant Figures Practice
Total questions: 11
Worksheet time: 40mins
What is scientific notation used for?
To make numbers larger
To make numbers smaller
To make very large or very small numbers more compact and easier to write
To convert numbers into fractions
How can the number 300,000,000 be expressed in scientific notation?
3 x 10^6
3 x 10^8
3 x 10^9
3 x 10^7
What is the requirement for a number to be in scientific notation?
It must be a whole number.
It must be written as the product of a number between 1 and 9.99999 and the appropriate power of 10.
It must be a fraction.
It must be a negative number.
What should you do to convert a number to scientific notation?
Add zeros to the end of the number.
Count how many times you have to move the decimal point to get a number between 1 and less than 10.
Multiply the number by 100.
Divide the number by 10.
What happens to the exponent if the number is getting smaller in scientific notation?
The exponent gets smaller.
The exponent stays the same.
The exponent gets bigger.
The exponent becomes zero.
What is the scientific notation for the number 238,000?
2.38 x 10^4
2.38 x 10^5
2.38 x 10^6
2.38 x 10^3
Convert the number 1,500,000 into scientific notation.
1.5 x 10^5
1.5 x 10^6
1.5 x 10^7
1.5 x 10^4
What is the scientific notation for 0.00043?
4.3 x 10^-3
4.3 x 10^-4
4.3 x 10^-5
4.3 x 10^-2
Express 0.135 in scientific notation.
1.35 x 10^-2
1.35 x 10^-1
1.35 x 10^0
1.35 x 10^-3
Convert 357 into scientific notation.
3.57 x 10^1
3.57 x 10^2
3.57 x 10^3
3.57 x 10^0
What is the scientific notation for 238,000?
2.38 x 10⁵
2.38 x 10⁴
2.38 x 10⁶
2.38 x 10³
Convert 1,500,000 into scientific notation.
1.5 x 10⁶
1.5 x 10⁵
1.5 x 10⁷
1.5 x 10⁴
What is 0.00043 in scientific notation?
4.3 x 10⁻⁴
4.3 x 10⁻³
4.3 x 10⁻⁵
4.3 x 10⁻²
Express 0.135 in scientific notation.
1.35 x 10⁻¹
1.35 x 10⁻²
1.35 x 10⁰
1.35 x 10¹
What is the scientific notation for 357?
3.57 x 10²
3.57 x 10¹
3.57 x 10³
3.57 x 10⁰
Convert 63,000 into scientific notation.
6.3 x 10⁴
6.3 x 10⁵
6.3 x 10³
6.3 x 10²
What is 0.0000603 in scientific notation?
6.03 x 10⁻⁵
6.03 x 10⁻⁶
6.03 x 10⁻⁴
6.03 x 10⁻³
Express 43,000 in scientific notation.
4.3 x 10⁴
4.3 x 10⁵
4.3 x 10³
4.3 x 10²
What is the scientific notation for 0.015?
1.5 x 10⁻²
1.5 x 10⁻¹
1.5 x 10⁻³
1.5 x 10⁰
Convert 5.68 into scientific notation.
5.68 x 10⁰
5.68 x 10¹
5.68 x 10⁻¹
5.68 x 10²
What is the scientific notation for the number 238,000?
2.38 x 10⁵
2.38 x 10⁴
2.38 x 10⁶
2.38 x 10³
Convert the number 1,500,000 into scientific notation.
1.5 x 10⁶
1.5 x 10⁵
1.5 x 10⁷
1.5 x 10⁴
What is 0.00043 in scientific notation?
4.3 x 10⁻⁴
4.3 x 10⁻³
4.3 x 10⁻⁵
4.3 x 10⁻²
Express 0.135 in scientific notation.
1.35 x 10⁻¹
1.35 x 10⁰
1.35 x 10⁻²
1.35 x 10¹
What is the scientific notation for the number 357?
3.57 x 10²
3.57 x 10¹
3.57 x 10³
3.57 x 10⁰
Convert 63,000 into scientific notation.
6.3 x 10⁴
6.3 x 10³
6.3 x 10⁵
6.3 x 10²
What is 0.0000603 in scientific notation?
6.03 x 10⁻⁵
6.03 x 10⁻⁴
6.03 x 10⁻⁶
6.03 x 10⁻³
Express 43,000 in scientific notation.
4.3 x 10⁴
4.3 x 10³
4.3 x 10⁵
4.3 x 10²
What is the scientific notation for the number 0.015?
1.5 x 10⁻²
1.5 x 10⁻¹
1.5 x 10⁻³
1.5 x 10⁰
Convert 5.68 into scientific notation.
5.68 x 10⁰
5.68 x 10¹
5.68 x 10⁻¹
5.68 x 10²
What is the first step in adding or subtracting numbers in scientific notation?
Convert all numbers to the same power of 10
Add the exponents
Subtract the exponents
Multiply the digit terms
Calculate the result of (4.215 x 10^-2) + (3.2 x 10^-4) in scientific notation.
4.247 x 10^-2
4.215 x 10^-2
3.2 x 10^-4
4.247 x 10^-4
What is the result of (8.97 x 10^4) - (2.62 x 10^3) in scientific notation?
8.71 x 10^4
6.35 x 10^4
8.97 x 10^3
2.62 x 10^4
What is the result of multiplying (3.4 x 10^6) and (4.2 x 10^3) in scientific notation?
1.4 x 10^10
14.28 x 10^8
1.4 x 10^9
14.28 x 10^10
How are the exponents handled when multiplying numbers in scientific notation?
The exponents are subtracted.
The exponents are divided.
The exponents are added.
The exponents remain unchanged.
What is the result of multiplying (6.73 x 10^-5) and (2.91 x 10^2) in scientific notation?
1.96 x 10^-2
19.58 x 10^-3
1.96 x 10^-3
19.58 x 10^-2
What is the result of dividing (6.4 x 10^6) by (8.9 x 10^2) using scientific notation?
7.2 x 10^3
0.719 x 10^4
5.6 x 10^4
0.561 x 10^5
How are the exponents handled when dividing numbers in scientific notation?
The exponents are added.
The exponents are subtracted.
The exponents are multiplied.
The exponents remain unchanged.
What is the result of dividing (3.2 x 10^3) by (5.7 x 10^-2) using scientific notation?
7.2 x 10^3
0.719 x 10^4
5.6 x 10^4
0.561 x 10^5
What happens to the exponent when you move the decimal to the left in scientific notation?
Exponent increases
Exponent decreases
Exponent stays the same
Exponent becomes zero
Write 942600000 in scientific notation.
9.426 x 10^8
9.426 x 10^7
9.426 x 10^6
9.426 x 10^5
Write 2.2 in scientific notation.
2.2 x 10^0
2.2 x 10^1
2.2 x 10^-1
2.2 x 10^-2
Convert 5.38 x 10^3 to normal notation.
5380
538
53.8
0.538
Solve: (6.3 x 10^2) (2.3 x 10^3)
1.449 x 10^6
1.449 x 10^5
1.449 x 10^4
1.449 x 10^3
Solve: (6.3 x 10^2) (2.3 x 10^3)^2
3.2879 x 10^9
3.2879 x 10^8
3.2879 x 10^7
3.2879 x 10^6
Solve: (1.1 x 10^2) / (4.4 x 10^3)
2.5 x 10^-2
2.5 x 10^-1
2.5 x 10^0
2.5 x 10^1
Solve: (6.3 x 10^2) + (2.3 x 10^3)
2.93 x 10^3
2.93 x 10^2
2.93 x 10^1
2.93 x 10^0
Solve: (4.3 x 10^4) - (5.1 x 10^3)
3.79 x 10^4
3.79 x 10^3
3.79 x 10^2
3.79 x 10^1
What is the term used to describe the combination of certain numbers and one uncertain number in measurements?
Approximate
Significant
Insignificant
Random
What does every measuring device have according to the text?
Absolute accuracy
Some degree of uncertainty
No error
Complete precision
What is the importance of significant figures in measurements?
They help in rounding numbers to the nearest whole number.
They ensure the quality of measurements is accurately represented.
They are used to convert units of measurement.
They are only important in theoretical calculations.
Which of the following statements is true about non-zero digits?
A) Non-zero digits are never significant.
B) Non-zero digits are always significant.
C) Non-zero digits are significant only at the end of a number.
D) Non-zero digits are significant only if a decimal point is present.
What is the significance of leading zeros in a number?
A) Leading zeros are always significant.
B) Leading zeros are significant only if a decimal point is present.
C) Leading zeros are never significant.
D) Leading zeros are significant only at the end of a number.
Captured zeros are zeros that:
A) Are at the start of a number.
B) Are between non-zero digits and are significant.
C) Are at the end of a number and are never significant.
D) Are between non-zero digits and are never significant.
When are trailing zeros considered significant?
A) Trailing zeros are always significant.
B) Trailing zeros are never significant.
C) Trailing zeros may be significant if a decimal point is present.
D) Trailing zeros are significant only if they are between non-zero digits.
In the statement "1 inch = 2.54 centimeters," why do neither 2.54 nor 1 limit the number of significant figures?
Because they are approximations
Because they are exact numbers
Because they are rounded values
Because they are measured values
Which zeros are considered significant in a number?
Zeros used only to locate the decimal point
Zeros for "cosmetic" purpose
All zeros between nonzero numbers
Zeros at the beginning of a number
How do you determine the number of significant figures in a number without a decimal?
Draw an arrow from the left until you hit a nonzero number.
Draw an arrow from the right until you hit a nonzero number.
Count all the zeros.
Ignore all digits.
How do you determine the number of significant figures in a number with a decimal?
Draw an arrow from the left until you hit a nonzero number.
Draw an arrow from the right until you hit a nonzero number.
Count only the zeros.
Ignore the decimal point.
How many significant figures are in the number 12.000?
3
4
5
6
How many significant figures are in the number 0.105?
2
3
4
5
How many significant figures are in the number 3520?
2
3
4
5
How many significant figures are in the number 36?
1
2
3
4
0.00345
How many significant figures does the following number have?1.2500 x 103
Ambiguous: 3 or 5
7
(12.470)(271)
129.6/3
40.0
24.28 + 12.5
1421-34
1400
