Dosages Safely 2nd Edition Tracy Horntvedt
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,Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
Whole Numbers
CHAPTER 1
1. Which of the following are ways that numbers may be correctly expressed? Select all that
apply.
1. Inverse
2. Rational
3. Decimals
4. Proper
5. Fractions
2. Place the mathematical operations in the correct order they should be performed:
1. Perform the operations that require adding or subtracting, starting from left to right.
2. Perform the operations that are inside the parentheses first.
3. Perform the operations that require multiplying or dividing, starting from left to right.
3. Which numbers are considered whole numbers? Select all that apply.
1. 10,000
2. –20
3. 0
4. 7
5. 3/5
4. Which signs indicate that a division operation should be performed? Select all that apply.
1. ×
2. /
3. *
4. ÷
5. -
5. Which of the following is true regarding the order of mathematical operations?
1. Perform operations that are inside parentheses first.
2. Perform operations that require multiplying or dividing, starting from right to left.
3. Perform operations that require adding or subtracting before multiplying or dividing.
4. Perform operations that are inside parentheses last.
6. For the number 2,875,634, which number is in the hundreds place?
1. 2
2. 8
3. 6
4. 4
Calculate the following equations.
Whole Numbers-1
,Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
7. 6,157 + 816 = ________
8. 8,153,757 + 4,514 = ________
9. 845 – 627 = ________
10. 48,685 – 7,526 = ________
11. 84 × 75 = ________
12. 16 × 8 = ________
13. 16 ÷ 4 = ________
14. 21 ÷ 7 = ________
15. 27 ÷ 3 = ________
Whole Numbers-2
,Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
ANSWERS
Whole Numbers
CHAPTER 1
1. Which of the following are ways that numbers may be correctly expressed? Select all that
apply.
1. Inverse
2. Rational
3. Decimals
4. Proper
5. Fractions
ANS: 2, 3, 5
Rationale: Numbers may be expressed as integers, rational or irrational numbers, real
numbers, fractions, decimals, whole numbers, or factors.
2. Place the mathematical operations in the correct order they should be performed:
1. Perform the operations that require adding or subtracting, starting from left to right.
2. Perform the operations that are inside the parentheses first.
3. Perform the operations that require multiplying or dividing, starting from left to right.
ANS: 2, 3, 1
Rationale: This is the correct order for performing mathematical operations. See Box 1-3 in
text.
3. Which numbers are considered whole numbers? Select all that apply.
1. 10,000
2. –20
3. 0
4. 7
5. 3/5
ANS: 1, 3, 4
Rationale: Whole numbers are called natural numbers or counting numbers. They include 0
and all positive numbers such as 1, 2, 3, 4 and so on.
4. Which signs indicate that a division operation should be performed? Select all that apply.
1. ×
2. /
3. *
4. ÷
5. -
ANS: 2, 4
Rationale: These symbols are indications that a division operation should be performed.
The other symbols listed are for multiplication and subtraction.
Whole Numbers-3
,Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
5. Which of the following is true regarding the order of mathematical operations?
1. Perform operations that are inside parentheses first.
2. Perform operations that require multiplying or dividing, starting from right to left.
3. Perform operations that require adding or subtracting before multiplying or dividing.
4. Perform operations that are inside parentheses last.
ANS: 1
Rationale: The order of mathematical operations is as follows:
1) Perform operations that are inside the parentheses first.
2) Perform the operations that require multiplying or dividing first, starting
from left to right.
3) Perform the operations that require adding or subtracting next, starting from
left to right.
6. For the number 2,875,634, which number is in the hundreds place?
1. 2
2. 8
3. 6
4. 4
ANS: 3
Rationale: The place values of the number 2,875,634 from left to right are as follows:
millions (2), hundred thousands (8), ten thousands (7), thousands (5), hundreds (6), tens (3),
and ones (4).
7. 6,157 + 816 = ________
ANS: 6,973
Rationale:
8. 8,153,757 + 4,514 = ________
ANS: 8,158,271
Rationale:
Whole Numbers-4
,Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
9. 845 – 627 = ________
ANS: 218
Rationale:
10. 48,685 – 7,526 = ________
ANS: 41,159
Rationale:
11. 84 × 75 = ________
ANS: 6,300
Rationale:
12. 16 × 8 = ________
ANS: 128
Rationale:
Whole Numbers-5
,Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
13. 16 ÷ 4 = ________
ANS: 4
Rationale:
__4__
4 ) 16
14. 21 ÷ 7 = ________
ANS: 3
Rationale:
__3__
7 ) 21
15. 27 ÷ 3 = ________
ANS: 9
Rationale:
__9__
3 ) 27
Whole Numbers-6
,Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
Fractions
CHAPTER 2
1. When working with fractions, what is the term for the greatest common number that
divides evenly into both the numerator and the denominator?
1. Divisor
2. Factor
3. Dividend
4. Product
2. When adding fractions with different denominators, the fractions must be changed to have
a common denominator. What is the term for this change?
1. Transforming
2. Averaging
3. Lowering
4. Raising
3. Reducing a fraction to the lowest terms involves which of the following?
1. Finding a factor that divides evenly into both the numerator and denominator
2. Finding a common denominator for the fractions and adding the numerators
3. Finding a common denominator for the fractions and subtracting the smaller fraction
from the larger one
4. Multiplying the numerators and denominators of the fractions
4. Which statements are true when discussing improper fractions? Select all that apply.
1. Numerators are greater than or equal to their denominators.
2. Improper fractions contain both a whole number and a fraction.
3. The value of an improper fraction is greater than or equal to one.
4. Numerators are less than their denominators.
5. Improper fractions contain a numerator and denominator that are both divisible by the
number two.
5. Which of the following operations require finding a common denominator before
completing the equation? Select all that apply.
1. Adding fractions
2. Subtracting fractions
3. Multiplying fractions
4. Dividing fractions
5. Reducing reactions
Fractions-1
, Dimensional Analysis: Calculating Dosages Safely, 2nd Edition
Tracy Horntvedt
© 2019 F. A. Davis Company
6. Which of the following is true regarding mixed fractions?
1. The numerator is always greater than the denominator.
2. The value is always less than one.
3. It contains both a whole number and a fraction.
4. It contains a decimal point.
7. A fraction represents parts of a whole and is written with a numerator on top and a
___________________ on bottom.
Calculate the following. If applicable, show your answer as a mixed fraction.
8. 2 + = ________
3
4
9. + = ________
5 3
9 9
10. 3 + = ________
3 1
8 4
11. – = ________
4 3
5 5
12.
9
– 1 = _______
3 9
13. × = _______
7 3
2 14
14. 3 × = _______
4 1
5 3
15. ÷ = ________
1 1
4 8
16. ÷ = ________
7 2
8 3
Fractions-2