(0.68)^3-(0.13)^3/(0.68)^2+(0.68x0.13)+(0.13)^3 and the x I have written is multiply please help
Answers
Answer:
4 × 0.2 = 0.2 + 0.2 + 0.2 + 0.2 = 0.8
Since we repeatedly added a number with tenths, the answer also has tenths.
5 × 0.15 = 0.15 + 0.15 + 0.15 + 0.15 + 0.15 = 0.75
Since we repeatedly added a number with hundredths, the answer also has hundredths.
3 × 0.006 = 0.006 + 0.006 + 0.006 = 0.018
Since we repeatedly added a number with thousandths, the answer also has thousandths.
1. Write each multiplication as a repeated addition, and solve.
a. 2 × 0.8 = b. 3 × 1.5 =
c. 4 × 0.03 = d. 2 × 0.007 =
Using multiplication: To solve 6 × 0.05, you can multiply 6 × 5 = 30 in your head. You are
multiplying 6 times 5 hundredths. Obviously, the answer is 30 hundredths. (Compare this to
“6 times 5 apples = 30 apples”.)
So, in order for it to be hundredths, your answer needs to have two decimal digits: it is 0.30.
Similarly, 7 × 0.008 is going to be thousandths, so it needs three decimal digits. So, first multiply without the decimal point: 7 × 8 = 56, and then figure that the answer has to be 0.056.
2. Put the decimal point in the answer.
a. 10 × 0.4 = 40
b. 100 × 0.4 = 400
c. 1000 × 0.4 = 400
g. 7 × 0.05 = 35
h. 8 × 0.05 = 40
i. 10 × 0.05 = 50
m. 4 × 0.004 = 16
n. 5 × 0.008 = 40
o. 3 × 0.012 = 36
d. 8 × 0.4 = 32
e. 80 × 0.4 = 320
f. 800 × 0.4 = 3200
j. 10 × 0.09 = 90
k. 100 × 0.09 = 900
l. 1000 × 0.09 = 9000
p. 10 × 0.003 = 30
q. 100 × 0.003 = 300
r. 1000 × 0.003 = 3000
3. Continue the patterns!
a.
7 × 0.01 = ________
7 × 0.02 = ________
7 × 0.03 = ________
7 × 0.04 = ________
7 × _______ = ________
7 × _______ = ________
7 × _______ = ________
7 × _______ = ________
7 × _______ = ________
b.
10 × 0.1 = ________
10 × 0.2 = ________
10 × 0.3 = ________
10 × 0.4 = ________
10 × ______ = ________
10 × ______ = ________
10 × ______ = ________
10 × ______ = ________
10 × ______ = ________
c.
1 × 0.005 = ________
2 × 0.005 = ________
3 × 0.005 = ________
4 × 0.005 = ________
____ × 0.005 = ________
____ × 0.005 = ________
____ × 0.005 = ________
____ × 0.005 = ________
____ × 0.005 = ________
4. Multiply and compare the problems in each box.
a. 3 × 0.7 = _______
b. 3 × 0.07 = _______
c. 3 × 0.007 = _______
d. 12 × 0.5 = _______
e. 12 × 0.05 = _______
f. 12 × 0.005 = _______
g. 10 × 0.4 = _______
h. 100 × 0.04 = _______
i. 1000 × 0.004 = _______
5. Multiply and compare the problems.
a.
5 × 100 = ____________
5 × 10 = ____________
5 × 1 = ___________
5 × 0.1 = ___________
5 × 0.01 = ___________
5 × 0.001 = ___________
b.
6 × 400 = ____________
6 × 40 = ____________
6 × 4 = ___________
6 × 0.4 = ___________
6 × 0.04 = ___________
6 × 0.004 = ___________
c.
9 × 800 = ____________
9 × 80 = ____________
9 × 8 = ___________
9 × 0.8 = ___________
9 × 0.08 = ___________
9 × 0.008 = ______
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