Question 1

Simplify: $139.91 \div ( - 1.7 )$

Accepted Answer

To simplify $139.91 \div ( - 1.7 )$, you divide 139.91 by 1.7 and then apply the negative sign, resulting in -82.3.

Question 2

Write the mass of Earth, which is approximately 5,980,000,000,000,000,000,000,000 kg, in scientific notation.

Accepted Answer

The mass of Earth is approximately $5.98 \times 10^{24}$ kg, which matches option D.

Question 3

A child's temperature was 101.9°F during a visit to the pediatrician for an ear infection. Three hours after beginning the antibiotic prescribed by the doctor, the change in the child's temperature was -1.5°. What was the child's temperature after beginning the antibiotic?

Accepted Answer

The answer of A child's temperature was 101.9°F during a...

Question 4

The normal range for a white blood cell count is 2,000 cells/?l to 18,000 cells/?l. Write these numbers in scientific notation.

Accepted Answer

2,000 is written as 2 × 10^3 in scientific notation, and 18,000 is written as 1.8 × 10^4, making option D correct.

Question 5

The normal range for a red blood cell count is 3.6 × $10 ^ { 2 }$ cells/?l to 3.0 × $10 ^ { 2 }$ cells/?l. Write these numbers in decimal notation.

Accepted Answer

The correct conversion of $10^2$ in decimal notation is 100, so 3.6 × $10^2$ equals 360 and 3.0 × $10^2$ equals 300.

Question 6

Write the number $5.6 \times 10 ^ { - 5 }$ in decimal notation.

Accepted Answer

To convert $5.6 \times 10^{-5}$ to decimal notation, move the decimal point 5 places to the left, resulting in 0.000056.

Question 7

Write the number 4,700,000,000,000 in scientific notation.

Accepted Answer

To convert to scientific notation, you move the decimal point so that there's only one non-zero digit to the left of the decimal. For 4,700,000,000,000, you move the decimal 12 places to the left, resulting in $4.7 \times 10^{12}$.

Question 8

If a patient's red blood cell count drops below the normal range of 3.6 × $10 ^ { 6 }$ cells/?l to 6.0 × $10 ^ { 6 }$ cells/?l , the patient is suffering from anemia. The red blood cell count of a patient is 3,200,000 cells/?l. Write this cell count in scientific notation. Is this patient anemic?

Accepted Answer

The patient's red blood cell count in scientific notation is 3.2 × $10 ^ { 6 }$ cells/μl, which is below the normal range, indicating anemia.

Question 9

The chart below shows the closing price of a share of stock on September 15, 2003, for each of five companies. Also shown is the change in price from the previous day. To find the closing price on the previous day, subtract the change in price from the closing price on September 15. Find the closing price on the previous day for General Mills. Company
Closing Price
Change in Price
Del Monte Foods Co.
8)77
-0)06
General Mills, Inc.
47)10
-0)11
Hershey Foods, Inc.
72)57
+0)11
Hormel Foods Corp.
22)42
-0)08
Sara Lee Corp.
19)18
-0)21

Accepted Answer

To find the closing price on the previous day for General Mills, you add the change in price to the closing price on September 15, 2003, because the change is negative. So, $47.10 + $0.11 = $47.21.

Question 10

On January 23, 1916, the temperature in Browning, Montana, was approximately $6.02 ^ { \circ } \mathrm { C }$ On January 24, 1916, the temperature was approximately $- 48.37 ^ { \circ } \mathrm { C } .$ Find the difference between the temperatures in Browning on these two days.

Accepted Answer

To find the difference in temperatures, subtract the second day's temperature from the first day's temperature: $6.02 ^ { \circ } \mathrm { C } - (-48.37 ^ { \circ } \mathrm { C }) = 6.02 ^ { \circ } \mathrm { C } + 48.37 ^ { \circ } \mathrm { C } = 54.39 ^ { \circ } \mathrm { C }$.

Question 11

Simplify the following. $5 - ( 9 - 18 ) / 3$

Accepted Answer

First, simplify inside the parentheses: $9 - 18 = -9$. Then divide by 3: $-9 / 3 = -3$. Finally, subtract from 5: $5 - (-3) = 5 + 3 = 8$.

Question 12

Hypothermia begins when a person's core body temperature falls below 95°. A patient in the emergency room has a core body temperature 3.5° below the normal body temperature of 99°. Is this patient suffering from hypothermia?

Accepted Answer

The answer of Hypothermia begins when a person's core body...

Question 13

Simplify the following. $- 25 \div 5 + 9$

Accepted Answer

The correct operation order is division followed by addition: $-25 \div 5 = -5$, then $-5 + 9 = 4$.

Question 14

Simplify the following. $7 - 16 \div 4$

Accepted Answer

According to the order of operations (PEMDAS/BODMAS), division comes before subtraction. So, you first divide 16 by 4 to get 4, and then subtract that from 7, which gives you 3.

Question 15

Write the number 0.000054 in scientific notation.

Accepted Answer

The answer of Write the number 0.000054 in scientific notation.
...

Question 16

Write the number $5.2 \times 10 ^ { 14 }$ in decimal notation.

Accepted Answer

The notation $5.2 \times 10^{14}$ means the decimal point in 5.2 is moved 14 places to the right, resulting in 520,000,000,000,000.

Question 17

The boiling point of oxygen is $- 182.962 ^ { \circ } \mathrm { C }$ and the melting point is $- 218.4 ^ { \circ } \mathrm { C }$ Find the difference between the boiling point and the melting point of oxygen.

Accepted Answer

The difference between the boiling point and the melting point of oxygen is calculated by subtracting the melting point from the boiling point: $-182.962 - (-218.4) = 35.438 ^{\circ}C$.

Question 18

The pH scale is used to indicate the acidity of a solution based on the concentration of hydrogen ions in the solution. The scale ranges from 0 to 14, and solutions with low pH numbers are more acidic than those with high pH numbers. Apple juice is a acidic solution with a pH of 3.3, indicating that it contains 1 × $10 ^ { - 3 }$ g of hydrogen ions per liter. Write this number in decimal form.

Accepted Answer

The pH of 3.3 indicates a hydrogen ion concentration of $10^{-3.3}$ g/L, which is approximately $10^{-3}$ g/L or 0.001 g/L.

Question 19

The diameter of an dust particle is 0.000000017 meters. Write this number in scientific notation.

Accepted Answer

The diameter of the dust particle is 0.000000017 meters. To write this number in scientific notation, we move the decimal point 8 places to the right and add a negative exponent of 8. This gives us $1.7 \times 10 ^ { - 8 }$ meters.

Question 20

A patient with acute myeloid leukemia has a white blood cell count of 1.4 × $10 ^ { 2 }$ cells/?l. Write this number in decimal notation

Accepted Answer

The given white blood cell count is 1.4 × $10 ^ { 2 }$, which means 1.4 multiplied by 100. This equals 140 cells/?l.

Quiz 10: Rational Numbers

Simplify: 139.91÷(−1.7) 139.91 \div ( - 1.7 ) 139.91÷(−1.7)

Write the mass of Earth, which is approximately 5,980,000,000,000,000,000,000,000 kg, in scientific notation.

A child's temperature was 101.9°F during a visit to the pediatrician for an ear infection. Three hours after beginning the antibiotic prescribed by the doctor, the change in the child's temperature was -1.5°. What was the child's temperature after beginning the antibiotic?

The normal range for a white blood cell count is 2,000 cells/?l to 18,000 cells/?l. Write these numbers in scientific notation.

The normal range for a red blood cell count is 3.6 × 10210 ^ { 2 }102 cells/?l to 3.0 × 10210 ^ { 2 }102 cells/?l. Write these numbers in decimal notation.

Write the number 5.6×10−55.6 \times 10 ^ { - 5 }5.6×10−5 in decimal notation.

Write the number 4,700,000,000,000 in scientific notation.

Simplify the following. 5−(9−18) /35 - ( 9 - 18 ) / 35−(9−18) /3