# 1.10 Systems of measurement  (Page 12/13)

 Page 12 / 13

$37.5+12.23$

$-4.2+\left(-9.3\right)$

−13.5

$-8.6+\left(-8.6\right)$

$100-64.2$

35.8

$100-65.83$

$2.51+40$

42.51

$9.38+60$

Multiply and Divide Decimals

In the following exercises, multiply.

$\left(0.3\right)\left(0.4\right)$

0.12

$\left(0.6\right)\left(0.7\right)$

$\left(8.52\right)\left(3.14\right)$

26.7528

$\left(5.32\right)\left(4.86\right)$

$\left(0.09\right)\left(24.78\right)$

2.2302

$\left(0.04\right)\left(36.89\right)$

In the following exercises, divide.

$0.15÷5$

0.03

$0.27÷3$

$8.49÷12$

$0.71 $16.99÷9$ $12÷0.08$ 150 $5÷0.04$ Convert Decimals, Fractions, and Percents In the following exercises, write each decimal as a fraction. 0.08 $\frac{2}{25}$ 0.17 0.425 $\frac{17}{40}$ 0.184 1.75 $\frac{7}{4}$ 0.035 In the following exercises, convert each fraction to a decimal. $\frac{2}{5}$ 0.4 $\frac{4}{5}$ $-\phantom{\rule{0.2em}{0ex}}\frac{3}{8}$ $-0.375$ $-\phantom{\rule{0.2em}{0ex}}\frac{5}{8}$ $\frac{5}{9}$ $0.\stackrel{\text{–}}{5}$ $\frac{2}{9}$ $\frac{1}{2}+6.5$ 7 $\frac{1}{4}+10.75$ In the following exercises, convert each percent to a decimal. 5% 0.05 9% 40% 0.4 50% 115% 1.15 125% In the following exercises, convert each decimal to a percent. 0.18 18% 0.15 0.009 0.9% 0.008 1.5 150% 2.2 ## The Real Numbers Simplify Expressions with Square Roots In the following exercises, simplify. $\sqrt{64}$ 8 $\sqrt{144}$ $\text{−}\sqrt{25}$ −5 $\text{−}\sqrt{81}$ Identify Integers, Rational Numbers, Irrational Numbers, and Real Numbers In the following exercises, write as the ratio of two integers. 9 8.47 $\frac{9}{1}$ $\frac{847}{100}$ $-15$ 3.591 In the following exercises, list the rational numbers, irrational numbers. $0.84,0.79132\text{…},1.\stackrel{\text{–}}{3}$ $0.84,1.\stackrel{\text{–}}{3}$ $0.79132\text{…},$ $2.3\stackrel{\text{–}}{8},0.572,4.93814\text{…}$ In the following exercises, identify whether each number is rational or irrational. $\sqrt{121}$ $\sqrt{48}$ rational irrational $\sqrt{56}$ $\sqrt{16}$ In the following exercises, identify whether each number is a real number or not a real number. $\sqrt{-9}$ $\text{−}\sqrt{169}$ not a real number real number $\sqrt{-64}$ $\text{−}\sqrt{81}$ In the following exercises, list the whole numbers, integers, rational numbers, irrational numbers, real numbers for each set of numbers. $-4,0,\frac{5}{6},\sqrt{16},\sqrt{18},5.2537\text{…}$ $0,\sqrt{16}$ $-4,0,\sqrt{16}$ $-4,0,\frac{5}{6},\sqrt{16}$ $\sqrt{18},5.2537\text{…}$ $-4,0,\frac{5}{6},\sqrt{16},\sqrt{18},5.2537\text{…}$ $\text{−}\sqrt{4},0.\stackrel{\text{—}}{36},\frac{13}{3},6.9152\text{…},\sqrt{48},10\frac{1}{2}$ Locate Fractions on the Number Line In the following exercises, locate the numbers on a number line. $\frac{2}{3},\frac{5}{4},\frac{12}{5}$ $\frac{1}{3},\frac{7}{4},\frac{13}{5}$ $2\frac{1}{3},-2\frac{1}{3}$ $1\frac{3}{5},-1\frac{3}{5}$ In the following exercises, order each of the following pairs of numbers, using<or>. $-1___-\phantom{\rule{0.2em}{0ex}}\frac{1}{8}$ < $-3\frac{1}{4}___-4$ $-\phantom{\rule{0.2em}{0ex}}\frac{7}{9}___-\phantom{\rule{0.2em}{0ex}}\frac{4}{9}$ > $-2___-\phantom{\rule{0.2em}{0ex}}\frac{19}{8}$ Locate Decimals on the Number Line In the following exercises, locate on the number line. $0.3$ $-0.2$ $-2.5$ 2.7 In the following exercises, order each of the following pairs of numbers, using<or>. $0.9___0.6$ > $0.7___0.8$ $-0.6___-0.59$ > $-0.27___-0.3$ ## Properties of Real Numbers Use the Commutative and Associative Properties In the following exercises, use the Associative Property to simplify. $-12\left(4m\right)$ $-48m$ $30\left(\frac{5}{6}q\right)$ $\left(a+16\right)+31$ $a+47$ $\left(c+0.2\right)+0.7$ In the following exercises, simplify. $6y+37+\left(-6y\right)$ 37 $\frac{1}{4}+\frac{11}{15}+\left(-\phantom{\rule{0.2em}{0ex}}\frac{1}{4}\right)$ $\frac{14}{11}·\frac{35}{9}·\frac{14}{11}$ $\frac{35}{9}$ $-18·15·\frac{2}{9}$ $\left(\frac{7}{12}+\frac{4}{5}\right)+\frac{1}{5}$ $1\frac{7}{12}$ $\left(3.98d+0.75d\right)+1.25d$ $11x+8y+16x+15y$ $27x+23y$ $52m+\left(-20n\right)+\left(-18m\right)+\left(-5n\right)$ Use the Identity and Inverse Properties of Addition and Multiplication In the following exercises, find the additive inverse of each number. $\frac{1}{3}$ $5.1$ $-14$ $-\phantom{\rule{0.2em}{0ex}}\frac{8}{5}$ $-\phantom{\rule{0.2em}{0ex}}\frac{1}{3}$ $-5.1$ 14 $\frac{8}{5}$ $-\phantom{\rule{0.2em}{0ex}}\frac{7}{8}$ $-0.03$ $17$ $\frac{12}{5}$ In the following exercises, find the multiplicative inverse of each number. 10 $-\phantom{\rule{0.2em}{0ex}}\frac{4}{9}$ 0.6 $\frac{1}{10}$ $-\phantom{\rule{0.2em}{0ex}}\frac{9}{4}$ $\frac{5}{3}$ $-\phantom{\rule{0.2em}{0ex}}\frac{9}{2}$ $-7$ 2.1 Use the Properties of Zero In the following exercises, simplify. $83·0$ 0 $\frac{0}{9}$ $\frac{5}{0}$ undefined $0÷\frac{2}{3}$ In the following exercises, simplify. $43+39+\left(-43\right)$ 39 $\left(n+6.75\right)+0.25$ $\frac{5}{13}·57·\frac{13}{5}$ 57 $\frac{1}{6}·17·12$ $\frac{2}{3}·28·\frac{3}{7}$ 8 $9\left(6x-11\right)+15$ Simplify Expressions Using the Distributive Property #### Questions & Answers where's the answers? Ed Reply I don't see where the answers are. Ed Cindy and Richard leave their dorm in Charleston at the same time. Cindy rides her bicycle north at a speed of 18 miles per hour. Richard rides his bicycle south at a speed of 14 miles per hour. How long will it take them to be 96 miles apart? Maddy Reply 3 Christopher 18t+14t=96 32t=96 32/96 3 Christopher show that a^n-b^2n is divisible by a-b Florence Reply What does 3 times your weight right now Cherokee Reply Use algebra to combine 39×5 and the half sum of travel of 59+30 Cherokee What is the segment of 13? Explain Cherokee my weight is 49. So 3 times is 147 Cherokee kg to lbs you goin to convert 2.2 or one if the same unit your going to time your body weight by 3. example if my body weight is 210lb. what would be my weight if I was 3 times as much in kg. that's you do 210 x3 = 630lb. then 630 x 2.2= .... hope this helps tyler How to convert grams to pounds? paul What is the lcm of 340 Kendra Reply Yes Cherokee How many numbers each equal to y must be taken to make 15xy Malik Reply 15x Martin 15x Asamoah 15x Hugo 1y Tom 1y x 15y Tom find the equation whose roots are 1 and 2 Adda Reply (x - 2)(x -1)=0 so equation is x^2-x+2=0 Ranu I believe it's x^2-3x+2 NerdNamedGerg because the X's multiply by the -2 and the -1 and than combine like terms NerdNamedGerg find the equation whose roots are -1 and 4 Adda Ans = ×^2-3×+2 Gee find the equation whose roots are -2 and -1 Adda (×+1)(×-4) = x^2-3×-4 Gee Quadratic equations involving factorization Winner Reply there's a chatting option in the app wow Nana That's cool cool Nana Nice to meet you all Nana you too. Joan 😃 Nana Hey you all there are several Free Apps that can really help you to better solve type Equations. Debra Debra, which apps specifically. ..? Nana am having a course in elementary algebra ,any recommendations ? samuel Samuel Addai, me too at ucc elementary algebra as part of my core subjects in science Nana me too as part of my core subjects in R M E Ken at ABETIFI COLLEGE OF EDUCATION Ken ok great. Good to know. Joan 5x + 1/3= 2x + 1/2 sanam Plz solve this sanam 5x - 3x = 1/2 - 1/3 2x = 1/6 x = 1/12 Ranu Thks ranu sanam a trader gains 20 rupees loses 42 rupees and then gains ten rupees Express algebraically the result of his transactions vinaya Reply a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions vinaya a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions vinaya a trader gains 20 rupees loses 42 rupees and then gains 10 rupees Express algebraically the result of his three transactions vinaya Kim is making eight gallons of punch from fruit juice and soda. The fruit juice costs$6.04 per gallon and the soda costs $4.28 per gallon. How much fruit juice and how much soda should she use so that the punch costs$5.71 per gallon?
(a+b)(p+q+r)(b+c)(p+q+r)(c+a) (p+q+r)
4x-7y=8 2x-7y=1 what is the answer?
x=7/2 & y=6/7
Pbp
x=7/2 & y=6/7 use Elimination
Debra
true
bismark
factoriz e
usman
4x-7y=8 X=7/4y+2 and 2x-7y=1 x=7/2y+1/2
Peggie
Frank
thanks
Ramil
copy and complete the table. x. 5. 8. 12. then 9x-5. to the 2nd power+4. then 2xto the second power +3x
What is c+4=8
2
Letha
4
Lolita
4
Rich
4
thinking
C+4=8 -4 -4 C =4
thinking
I need to study
Letha
4+4=8
William
During two years in college, a student earned $9,500. The second year, she earned$500 more than twice the amount she earned the first year.
9500=500+2x
Debra
9500-500=9000 9000÷2×=4500 X=4500
Debra
X + Y = 9500....... & Y = 500 + 2X so.... X + 500 + 2X = 9500, them X = 3000 & Y = 6500
Pbp