# 1.7 Decimals  (Page 7/10)

 Page 7 / 10

## Practice makes perfect

Name and Write Decimals

In the following exercises, write as a decimal.

Twenty-nine and eighty-one hundredths

29.81

Sixty-one and seventy-four hundredths

Seven tenths

0.7

Six tenths

Twenty-nine thousandth

0.029

Thirty-five thousandths

Negative eleven and nine ten-thousandths

$-11.0009$

Negative fifty-nine and two ten-thousandths

In the following exercises, name each decimal.

5.5

five and five tenths

14.02

8.71

eight and seventy-one hundredths

2.64

0.002

two thousandths

0.479

$\text{−}17\text{.9}\phantom{\rule{0.2em}{0ex}}$

negative seventeen and nine tenths

$\text{−}31\text{.4}$

Round Decimals

In the following exercises, round each number to the nearest tenth.

0.67

0.7

0.49

2.84

2.8

4.63

In the following exercises, round each number to the nearest hundredth.

0.845

0.85

0.761

0.299

0.30

0.697

4.098

4.10

7.096

In the following exercises, round each number to the nearest hundredth tenth whole number.

5.781

5.78 5.8 6

1.6381

63.479

63.48 63.5 63

$84\text{.281}\phantom{\rule{0.2em}{0ex}}$

In the following exercises, add or subtract.

$16.92+7.56$

24.48

$248.25-91.29$

$21.76-30.99$

$-9.23$

$38.6+13.67$

$-16.53-24.38$

$-40.91$

$-19.47-32.58$

$-38.69+31.47$

$-7.22$

$29.83+19.76$

$72.5-100$

$-27.5$

$86.2-100$

$15+0.73$

15.73

$27+0.87$

$91.95-\left(-10.462\right)$

102.212

$94.69-\left(-12.678\right)$

$55.01-3.7$

51.31

$59.08-4.6$

$2.51-7.4$

$-4.89$

$3.84-6.1$

Multiply and Divide Decimals

In the following exercises, multiply.

$\left(0.24\right)\left(0.6\right)$

0.144

$\left(0.81\right)\left(0.3\right)$

$\left(5.9\right)\left(7.12\right)$

42.008

$\left(2.3\right)\left(9.41\right)$

$\left(-4.3\right)\left(2.71\right)$

$-11.653$

$\left(-8.5\right)\left(1.69\right)$

$\left(-5.18\right)\left(-65.23\right)$

337.8914

$\left(-9.16\right)\left(-68.34\right)$

$\left(0.06\right)\left(21.75\right)$

1.305

$\left(0.08\right)\left(52.45\right)$

$\left(9.24\right)\left(10\right)$

92.4

$\left(6.531\right)\left(10\right)$

$\left(55.2\right)\left(1000\right)$

55,200

$\left(99.4\right)\left(1000\right)$

In the following exercises, divide.

$4.75÷25$

0.19

$12.04÷43$

$117.25÷48$

$2.44 $109.24÷36$ $0.6÷0.2$ 3 $0.8÷0.4$ $1.44÷\left(-0.3\right)$ $-4.8$ $1.25÷\left(-0.5\right)$ $-1.75÷\left(-0.05\right)$ 35 $-1.15÷\left(-0.05\right)$ $5.2÷2.5$ 2.08 $6.5÷3.25$ $11÷0.55$ 20 $14÷0.35$ Convert Decimals, Fractions and Percents In the following exercises, write each decimal as a fraction. 0.04 $\frac{1}{25}$ 0.19 0.52 $\frac{13}{25}$ 0.78 1.25 $\frac{5}{4}$ 1.35 0.375 $\frac{3}{8}$ 0.464 0.095 $\frac{19}{200}$ 0.085 In the following exercises, convert each fraction to a decimal. $\frac{17}{20}$ 0.85 $\frac{13}{20}$ $\frac{11}{4}$ 2.75 $\frac{17}{4}$ $-\phantom{\rule{0.2em}{0ex}}\frac{310}{25}$ $-12.4$ $-\phantom{\rule{0.2em}{0ex}}\frac{284}{25}$ $\frac{15}{11}$ $1.\stackrel{\text{—}}{36}$ $\frac{18}{11}$ $\frac{15}{111}$ $0.\stackrel{\text{—}}{135}$ $\frac{25}{111}$ $2.4+\frac{5}{8}$ 3.025 $3.9+\frac{9}{20}$ In the following exercises, convert each percent to a decimal. 1% 0.011 2% 63% 0.63 71% 150% 1.5 250% 21.4% 0.214 39.3% 7.8% 0.078 6.4% In the following exercises, convert each decimal to a percent. 0.01 1% 0.03 1.35 135% 1.56 3 300% 4 0.0875 8.75% 0.0625 2.254 225.4% 2.317 ## Everyday math Salary Increase Danny got a raise and now makes$58,965.95 a year. Round this number to the nearest
dollar
thousand dollars
ten thousand dollars.

$58,966$59,000 $60,000 New Car Purchase Selena’s new car cost$23,795.95. Round this number to the nearest
dollar
thousand dollars
ten thousand dollars.

Sales Tax Hyo Jin lives in San Diego. She bought a refrigerator for $1,624.99 and when the clerk calculated the sales tax it came out to exactly$142.186625. Round the sales tax to the nearest
penny and
dollar.

$142.19;$142

Sales Tax Jennifer bought a $1,038.99 dining room set for her home in Cincinnati. She calculated the sales tax to be exactly$67.53435. Round the sales tax to the nearest
penny and
dollar.

Paycheck Annie has two jobs. She gets paid $14.04 per hour for tutoring at City College and$8.75 per hour at a coffee shop. Last week she tutored for 8 hours and worked at the coffee shop for 15 hours.
How much did she earn?
If she had worked all 23 hours as a tutor instead of working both jobs, how much more would she have earned?

$243.57$79.35

Paycheck Jake has two jobs. He gets paid $7.95 per hour at the college cafeteria and$20.25 at the art gallery. Last week he worked 12 hours at the cafeteria and 5 hours at the art gallery.
How much did he earn?
If he had worked all 17 hours at the art gallery instead of working both jobs, how much more would he have earned?

## Writing exercises

Explain how you write “three and nine hundredths” as a decimal.

Without solving the problem “44 is 80% of what number” think about what the solution might be. Should it be a number that is greater than 44 or less than 44? Explain your reasoning.

When the Szetos sold their home, the selling price was 500% of what they had paid for the house 30 years ago. Explain what 500% means in this context.

## Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

What does this checklist tell you about your mastery of this section? What steps will you take to improve?

3. When Jenna spent 10 minutes on the elliptical trainer and then did circuit training for20 minutes, her fitness app says she burned 278 calories. When she spent 20 minutes onthe elliptical trainer and 30 minutes circuit training she burned 473 calories. How manycalories does she burn for each minute on the elliptical trainer? How many calories doesshe burn for each minute of circuit training?
John left his house in Irvine at 8:35 am to drive to a meeting in Los Angeles, 45 miles away. He arrived at the meeting at 9:50. At 3:30 pm, he left the meeting and drove home. He arrived home at 5:18.
p-2/3=5/6 how do I solve it with explanation pls
P=3/2
Vanarith
1/2p2-2/3p=5p/6
James
Cindy
4.5
Ruth
is y=7/5 a solution of 5y+3=10y-4
yes
James
Cindy
Lucinda has a pocketful of dimes and quarters with a value of $6.20. The number of dimes is 18 more than 3 times the number of quarters. How many dimes and how many quarters does Lucinda have? Rhonda Reply Find an equation for the line that passes through the point P ( 0 , − 4 ) and has a slope 8/9 . Gabriel Reply is that a negative 4 or positive 4? Felix y = mx + b Felix if negative -4, then -4=8/9(0) + b Felix -4=b Felix if positive 4, then 4=b Felix then plug in y=8/9x - 4 or y=8/9x+4 Felix Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. macadamia nuts cost$9 per pound and almonds cost $5.25 per pound. how many pounds of macadamia nuts and how many pounds of almonds should macario use for the mixture to cost$6.50 per pound to make?
Nga and Lauren bought a chest at a flea market for $50. They re-finished it and then added a 350 % mark - up Makaila Reply$1750
Cindy
the sum of two Numbers is 19 and their difference is 15
2, 17
Jose
interesting
saw
4,2
Cindy
Felecia left her home to visit her daughter, driving 45mph. Her husband waited for the dog sitter to arrive and left home 20 minutes, or 13 hour later. He drove 55mph to catch up to Felecia. How long before he reaches her?
integer greater than 2 and less than 12
2 < x < 12
Felix
I'm guessing you are doing inequalities...
Felix
Actually, translating words into algebraic expressions / equations...
Felix
hi
Darianna
hello
Mister
Eric here
Eric
6
Cindy
He charges $125 per job. His monthly expenses are$1,600. How many jobs must he work in order to make a profit of at least \$2,400?
at least 20
Ayla
what are the steps?
Alicia
6.4 jobs
Grahame
32
Grahame
1600+2400= total amount with expenses. 4000/125= number of jobs needed to make that min profit of 2400. answer is 32
Orlando
He must work 32 jobs to make a profit
POP
32
Cindy
what is algebra
repeated addition and subtraction of the order of operations. i love algebra I'm obsessed.
Shemiah
hi
Krekar
Eric here. I'm a parent. 53 years old. I have never taken algebra. I want to learn.
Eric
I am 63 and never learned algebra
Cindy
One-fourth of the candies in a bag of M&M’s are red. If there are 23 red candies, how many candies are in the bag?
they are 92 candies in the bag
POP
92
Cindy
rectangular field solutions
What is this?
Donna
t
muqtaar