Test your basic knowledge |

CLEP General Mathematics: Powers Exponents And Roots

Subjects : clep, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.

1. To divide powers of 10:
When moving the decimal point to the left (dividing by 10)
Calculator square-root key
Determine the number of times the original decimal has to be multiplied or divided by 10 in order to show one non-zero digit to the left of the decimal point. Multiply the normalized value by a power of 10 that will restore equality. If you multiplie
Step 1. Divide the coefficients of the terms

2. To find the square root of any number - simply key in the number (the radicand) and press the
Calculator square-root key
1
10^2
Subtract the exponent

3. When moving the decimal point to the right (multiplying by 10)
decrease the value of the exponent by 1 (dividing by 10)
0
Step 1. Subtract the exponents (divisor from dividend) Step 2. Use the common base
Not

4. Step 1: Add the exponents Step 2: Use the common base
same exponent
Engineering notation
base
To multiply powers that have the same base:

5. A negative exponent does not mean the decimal value is negative. It means the decimal value is
10^-1
a fractional decimal
1
Each number must first be converted to its ordinary decimal form - then complete the addition/subtraction operation.

6. Powers of ten can be added or subtracted only when their exponents
same exponent
2
Are Equal
10^-1

7. Negative cube roots are okay ... negative square roots are
Not
5
1 divided by that number with a positive exponent
increase the power-of-10 exponent by the same number of units

8. Scientific notation requires there to be only
one digit to the left of the decimal point
0
10^1
2 x 10^9

9. Valid powers-of-10 for engineering notation
0
When moving the decimal point to the left (dividing by 10)
must be multiples of 3 or 0
0

10. Any number with an exponent of 1 is equal to
Not
0
move the decimal point the same number of units to the left
itself

11. 1 to any power is equal to
10^2
move the decimal point the same number of units to the right
Step 1. Evaluate each term with normal decimal notation. Step 2. Complete the multiplication or division.
1

12. The square of 3 is
6.74 x 10^-7
The solution exists - but not in the real number system.
Calculator square-root key
9 (3^2 = 9)

13. When you move the decimal point in the coefficient to the right
you have to adjust the value of the exponent in order avoid changing the actual value.
Step 1. Divide the coefficients of the terms
decrease the power-of-10 exponent by the same number of units
move the decimal point the same number of units to the left

14. To multiply powers of 10:
cube-root key
5
Step 1. Multiply the coefficients of the factors. The result is the coefficient of the product. Step 2. Add the exponents of the factors. The result is the exponent of the product. Of course the base of 10 remains unchanged.
The solution exists - but not in the real number system.

15. The cube root of a negative number is also a
decrease the power-of-10 exponent by the same number of units
negative number
Calculator square-root key
squared

16. Valid powers of 10 for engineering notation are:
increase the power-of-10 exponent by the same number of units
10^3 10^6 10^9 10^ -3 10^ -6 10^ -9 10^0
1. Multiply the coefficients 2. Add the exponents
rewrite one of the terms so that the exponents are equal

17. 1^4 =
Moving the decimal point to the right
To multiply powers that have the same base:
the radical sign with a little 3 that indicates the cube root:
1

18. Any number with an exponent of 0 is equal to
decrease the power-of-10 exponent by the same number of units
Engineering notation
Moving the decimal point to the right
1

19. An integer that is found by squaring another integer. You already know how to find the square root of 25 because it is a perfect square: 5 x 5 = 25 - or you could write it as 52 = 25. So 25 is a perfect square - and its square root is 5.
must be multiples of 3 or 0
1 divided by that number with a positive exponent
10^-2
perfect square

20. What number multiplied by itself is equal to 16? The answer is 4. Why?
1
Because 4 multiplied by itself equals 16.
The solution exists - but not in the real number system.
10^-18

21. = 0.1 - or 1 with the decimal point moved one place to the left.
10^-1
same exponent
increase the power-of-10 exponent by the same number of units
radical sign

22. Represents 1 preceded by 17 zeros and a decimal point.
10^-18
3
must be multiples of 3 or 0
the radical sign with a little 3 that indicates the cube root:

23. When you decrease the value of the power-of-10 exponent
square root
1
10^1
move the decimal point the same number of units to the right

24. Any number with a negative exponent is equal to
Subtract the exponent
10^2
1 divided by that number with a positive exponent
1. Make sure the terms have the same power of ten. 2. Subtract the coefficients 3. Assign the common power of ten

25. Is a special form of power-of-10 notation where the exponents for the 10s must be 0 or multiples of 3. There must be 1 - 2 - or 3 digits on the left side of the decimal point.
Engineering notation
The solution exists - but not in the real number system.
move the decimal point the same number of units to the left
10^-18

26. The decimal part
10^-18
Not
Because 4 multiplied by itself equals 16.
coefficient

27. A number with an exponent of 3 is often said to be
Determine the number of times the original decimal has to be multiplied or divided by 10 in order to show one non-zero digit to the left of the decimal point. Multiply the normalized value by a power of 10 that will restore equality. If you multiplie
1. Make sure the terms have the same power of ten. 2. Subtract the coefficients 3. Assign the common power of ten
Moving the decimal point to the right
cubed

28. To divide powers of ten:
Not
1. Multiply the coefficients 2. Add the exponents
square root
1. Divide the coefficients 2. Subtract the exponents

29. A number is a second number which - when multiplied by itself three times - equals the original number.
cube-root key
Same base
1
cube root

30. When you increase the value of the power-of-10 exponent
move the decimal point the same number of units to the left
0
Scientific notation
Step 1. Rewrite each number with normal decimal notation. Step 2. Complete the multiplication or division.

31. 0^5 =
coefficient
perfect square
0
the radical sign with a little 3 that indicates the cube root:

32. Don't bother trying to find the square root of a negative number.
Scientific notation
Engineering notation
The solution exists - but not in the real number system.
10^2

33. To divide powers that have the same base; what do you do to the divisor from the exponent of the dividend?
Subtract the exponent
10^-1
decrease the value of the exponent by 1 (dividing by 10)
cube root

34. When this is exactly one digit (not including zero) to the left of the decimal point. This sometimes called the normalized form.
proper scientific
increase the power-of-10 exponent by the same number of units
squared
10^-18

35. To add or subtract numbers written with exponents:
decrease the value of the exponent by 1 (dividing by 10)
Calculator square-root key
Step 1. Rewrite each number with normal decimal notation. Step 2. Complete the multiplication or division.
9 (3^2 = 9)

36.
When the exponent of a power-of-10 expression is a negative integer:
1
you have to adjust the value of the exponent in order avoid changing the actual value.
Determine the number of times the original decimal has to be multiplied or divided by 10 in order to show one non-zero digit to the left of the decimal point. Multiply the normalized value by a power of 10 that will restore equality. If you multiplie

37. Indicates the number of times the base is to be multiplied.
Determine the number of times the original decimal has to be multiplied or divided by 10 in order to show one non-zero digit to the left of the decimal point. Multiply the normalized value by a power of 10 that will restore equality. If you multiplie
move the decimal point the same number of units to the left
6.74 x 10^-7
exponent

38. To divide powers that have the same base:
1. Divide the coefficients 2. Subtract the exponents
Step 1. Subtract the exponents (divisor from dividend) Step 2. Use the common base
1. Make sure the terms have the same power of ten. 2. Subtract the coefficients 3. Assign the common power of ten
Each number must first be converted to its ordinary decimal form - then complete the addition/subtraction operation.

39. 1 to any power is equal to
cube root
the radical sign with a little 3 that indicates the cube root:
0
1

40. When you move the decimal point in the coefficient to the left
10^-18
squared
Moving the decimal point to the right
increase the power-of-10 exponent by the same number of units

41. 100 - or 1 with the decimal point moved two places to the right
perfect square
exponent
exponent
10^2

42. What number multiplied by itself is equal to 4? Well - 2. x 2 = 4 - so the answer is
1
1 divided by that number with a positive exponent
2
10^-2

43. A number with an exponent of 2 is often said to be
squared
Are Equal
5
base

44. 3^0 =
cubed
1
same exponent
Step 1. Rewrite each number with normal decimal notation. Step 2. Complete the multiplication or division.

45. The square root of 9 is
10^1
3
0
move the decimal point the same number of units to the right

46. 10^-1 = 0.1 - or 1 with the decimal point moved one place to the left. 10^-2 = 0.01 - or 1 with the decimal point moved two places to the left. 10^-18 represents 1 preceded by 17 zeros and a decimal point.
1
Each number must first be converted to its ordinary decimal form - then complete the addition/subtraction operation.
2 x 10^9
When the exponent of a power-of-10 expression is a negative integer:

47. To subtract powers of ten:
decrease the value of the exponent by 1 (dividing by 10)
1. Make sure the terms have the same power of ten. 2. Subtract the coefficients 3. Assign the common power of ten
1
exponent

48. 0 to any power is equal to
1
decrease the power-of-10 exponent by the same number of units
itself
0

49. The symbol for the square root of a number is the - a sign placed in front of an expression to denote that a root is to be extracted.
radical sign
3
1. Multiply the coefficients 2. Add the exponents
6.74 x 10^-7

50. = 0.01 - or 1 with the decimal point moved two places to the left.
10^-2
1
10^1
3