- 2.6 Solve Problems Involving Decimalsmr. Mac's Page Numbers
- 2.6 Solve Problems Involving Decimalsmr. Mac's Page Key
- 2.6 Solve Problems Involving Decimalsmr. Mac's Page Numbering
- 2.6 Solve Problems Involving Decimalsmr. Mac's Page Number
We will cover math for nurses thoroughly on this page. We hope you will ace your NCLEX and land a great job in nursing.
Understanding the math concepts below is extremely important to do well in nursing. Trying to take the test below with 100% accuracy should be your goal before moving on.
Which decimal has the smallest value in each of the following.
1. a) 6.7 b) 5.8 c) 4.5
____________
The problems that follow involve simulations that can be done by hand. However, to obtain accurate and meaningful results, long periods must be simulated. 12-6 Problem-Solving Investigation: Choose the Best Method of Computation.100 iv 0ii0ivFM881033 1/15/08 10:14 AM Page iv epg ju104:MHGL149:Quark%0:Word Problem%:Application file%0:FM:Course 1: PDF Proof. MathScore EduFighter is one of the best math games on the Internet today. You can start playing for free! Decimal Division - Sample Math Practice Problems The math problems below can be generated by MathScore.com, a math practice program for schools and individual families.
2. a) 2.6 b) 2.4 c) 2.8
____________
3. a) 8.54 b) 8.58 c) 8.59
____________
Add the following decimals.
4. 2.6 + 1.4 ____________
5. 1.3 + 0.04 ____________
6. 6.21 + 15.8 + 7.34 ____________
Subtract the following decimals
7. 4.2 - 0.58 ____________
8. 26.51 - 6.11 ____________
9. 6.347 - 0.086 ____________
Express the following numbers to the nearest tenth
10. 4.26 ____________
11. 0.25 ____________
12. 13.82 ____________
Express the following numbers to the nearest hundredth
13. 1.479 ____________
14. 12.105 ____________
15. 4.35 ____________
Solve the following problems
16. If a doctor prescribes tablets with a strength of 0.1 mg and 0.3 mg is ordered. How many tablets should the patient take? ____________
17. Some tablets ordered for a patient have a strength of 2.25 mg and 6.75 mg is ordered. How many tablets should you give to the patient? ____________
18. Tablets are labeled 0.6 mg. If 0.3 mg is ordered, how many tablets will you give to the patient? ____________
Multiply the following decimals and then express your answers to the nearest tenth.
20. 0.5 × 2.4 ____________
21. 1.7 × 2.8 ____________
22. 6.3 × 0.34 × 1.1 ____________
Divide the following fractions and then express your answers to the nearest hundredth.
23. 18.9 ÷ 2.1
24. 4 ÷ 0.75
25. 8.27 ÷ 2.7
Get an answer to the multiplication of fractions below.
× |
27.
× |
27.
× |
28.
× |
28.
× |
29.
× |
29.
× |
30.
× |
30.
× |
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Earlier you've learned how to calculate integers, now it's time to learn how to calculate decimals.
When you are calculating with decimal numbers you are using the same principles as when you are calculating with integers.
2.6 Solve Problems Involving Decimalsmr. Mac's Page Numbers
Example
$$13.6 + 6.4=$$
$$=13+6+0.6+0.4=$$
$$= 19+1=20$$
with variables
$$2.6x + 3.8x=$$
$$=2x+3x+0.6x+0.8x =$$
$$=5x+1.4x=6.4x$$
Decimal numbers are rational numbers and can be written as a fraction of two numbers.
We name fractions like this:
Two fractions that are on the same denominator are called like fractions.
It is easy to add or subtract like fractions. If we add like fractions we just add the numerators and this sum will be the new numerator while the denominator is stays the same.
Example
$$frac{2}{5}+frac{3}{5}= frac{2+3}{5}=frac{5}{5}$$
$$frac{4}{9}-frac{2}{9}= frac{4-2}{9}=frac{2}{9}$$
Factors that are not on the same denominator are called unlike fractions. To find the sum or the difference of unlike fractions we need to find a common denominator, the least common denominator - LCD.
To find the common denominator we multiply the first fraction by the denominator of the second fraction.
Example
$$frac{3}{4}+frac{2}{3}=$$
$$LCD=4cdot 3=12$$
$$frac{3cdot 3}{12}+frac{2cdot 4}{12}=frac{9}{12}+frac{8}{12}=$$
$$frac{9+8}{12}=frac{17}{12}$$
You can rewrite fractions into decimal numbers by using long division.
Example
Rewrite 2/4 as decimals.
This means that 2/4 is equal to 0.5. Decimals like 0.5 are called terminating decimals.
2.6 Solve Problems Involving Decimalsmr. Mac's Page Key
Example
Rewrite 2/3 as decimals.
3 is not a factor of 2. 3 is not a factor of 20 but a factor of 18 which gives us a remainder of 2.
When you multiply fractions, the numerators will be multiplied with each other and the denominators will be multiplied with each other.
$$frac{x}{y}cdot frac{a}{b}=frac{xcdot a}{ycdot b}=frac{xa}{yb}$$
Example
$$frac{2}{6}cdot frac{5}{8}=frac{2cdot 5}{6cdot 8}=frac{10}{48}, : or: , frac{5}{24}$$
2.6 Solve Problems Involving Decimalsmr. Mac's Page Numbering
When you are dividing fractions, you are going to multiply the first fraction by the multiplicative inverse of the second fraction.
$$frac{x}{y}div frac{a}{b}=frac{x}{y}cdot frac{b}{a}=frac{xb}{ya}$$
2.6 Solve Problems Involving Decimalsmr. Mac's Page Number
$$frac{a}{b}rightarrow frac{b}{a}=, Multiplicative , inverse$$
Example
$$frac{2}{6}div frac{5}{8}=frac{2}{6}cdot frac{8}{5}=frac{16}{30}, : or: , frac{8}{15}$$
Video lesson
Rewrite into decimals