Answer:
18.c-1.965
19.c-0.25
Step-by-step explanation:
yan ang tamang sagot
Answer:You have learned to think of multiplication by a whole number, such as 3 × 4 or 8 × 0.6, as repeated
addition. However, this concept does not work when neither of the factors is a whole number, as in
0.83 × 1.43 or 2/3 × 7/11. Instead, when you multiply decimals or fractions, think of it as finding
"a certain part of” the other factor. In this sense, the symbol “×” translates to “of.”
Example. 0.1 × 80 means finding one-tenth “of” 80. That is simply 8.
Example. 0.4 × 80 means finding four-tenths “of” 80. Since one-tenth of 80 is 8, then 0.4 of 80 is four times as much, or 32.
Example. 0.02 × 3,000 means finding two-hundredths of 3,000. Since one-hundredth of 3,000 is 30, then 0.02 of 3,000 is two times as much, or 60.
1. Write as a multiplication using a decimal, and solve. Remember, "of" translates into "×". Use the
top problem in each box to help you solve the bottom one.
a. one-tenth of 50
_______ × ______ = _______
b. three-tenths of 50
c. one-tenth of 700
______ × _______ = _______
d. four-tenths of 700
e. one-hundredth of 4,000
_______ × _______ = _______
f. six-hundredths of 4,000
2. Solve. Use the top problem in each box to help you solve the bottom one.
a. Find 0.1 × 30 ________
Find 0.4 × 30 ________
b. Find 0.1 × 400 _________
Find 0.6 × 400 _________
c. Find 0.01 × 600 _________
Find 0.07 × 600 _________
d. Find 0.1 × 520 ________
Find 0.3 × 520 ________
e. Find 0.001 × 5,000 _________
Find 0.002 × 5,000 _________
f. Find 0.01 × 800 _________
Find 0.11 × 800 _________
3. Answer. You do not have to calculate.
a. You have learned that 0.1 × 246 means one-tenth of 246.
Will the result of 0.1 × 246 be more or less than 246?
b. Also, 0.1 × 0.8 means one-tenth of 0.8.
Will the result of 0.1 × 0.8 be more or less than 0.8?
c. Will the result of 1.9 × 928 be more or less than 928?
Scaling means expanding or shrinking something by some factor.
This red stick is 40 pixels long.
Let’s scale it to be four times as long:
→
We can write a multiplication "equation":
4 × =
Using pixels, 4 × 40 px = 160 px.
Now let’s scale the red stick to be
0.4 (four-tenths) as long as it is at first:
Notice, it shrank! We can write:
0.4 × =
In pixels, 0.4 × 40 px = 16 px.
The number we multiply by (4 and 0.4 above) is called the scaling factor.
If the scaling factor is more than 1, such as 2.3, the resulting stick is longer than the original one.
If the scaling factor is less than 1, such as 0.5 or 0.66, the resulting stick is shorter.
4. The stick is being shrunk. How long will it be in pixels? Compare the problems.
a. 0.1 × =
0.1 × 40 px = ________ px
b. 0.3 × =
0.3 × 40 px = ________ px
c. 0.6 × =
0.6 × 40 px = ________ px
d. 0.2 × =
0.2 × 40 px = ________ px
e. 0.5 × =
0.5 × 40 px = ________ px
f. 0.9 × =
0.9 × 40 px = ________ px
Let’s expand this stick (40 px) to be 1.2 times as long: →
We can write a multiplication: 1.2 × =
To calculate how long it is in pixels, let’s first figure out what 0.2 of 40 is.
Since one-tenth of 40 is 4, then 0.2 of 40 is double that, or 8.
Then, 1.2 × 40 px would be 1 × 40 px and 0.2 × 40 px, or 40 + 8 = 48 pixels.
5. The red stick is 50 pixels long. It is being expanded or shrunk. Fill in the blanks.
a. 0.5 × =
0.5 × 50 px = ________ px
0.3 × 50 px = ________ px
c. 1.5 × =
1.5 × 50 px = ________ px
d. 1.3 × =
1.3 × 50 px = ________ px
6. Tell if the resulting stick after being "multiplied" will be shorter or longer than the original.
a. 3.1 × will be longer/shorter than
b. 0.3 × will be longer/shorter than
Practice makes perfect. Practice math at IXL.com
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Answers & Comments
Answer:
18.c-1.965
19.c-0.25
Step-by-step explanation:
yan ang tamang sagot
Answer:You have learned to think of multiplication by a whole number, such as 3 × 4 or 8 × 0.6, as repeated
addition. However, this concept does not work when neither of the factors is a whole number, as in
0.83 × 1.43 or 2/3 × 7/11. Instead, when you multiply decimals or fractions, think of it as finding
"a certain part of” the other factor. In this sense, the symbol “×” translates to “of.”
Example. 0.1 × 80 means finding one-tenth “of” 80. That is simply 8.
Example. 0.4 × 80 means finding four-tenths “of” 80. Since one-tenth of 80 is 8, then 0.4 of 80 is four times as much, or 32.
Example. 0.02 × 3,000 means finding two-hundredths of 3,000. Since one-hundredth of 3,000 is 30, then 0.02 of 3,000 is two times as much, or 60.
1. Write as a multiplication using a decimal, and solve. Remember, "of" translates into "×". Use the
top problem in each box to help you solve the bottom one.
a. one-tenth of 50
_______ × ______ = _______
b. three-tenths of 50
_______ × ______ = _______
c. one-tenth of 700
______ × _______ = _______
d. four-tenths of 700
______ × _______ = _______
e. one-hundredth of 4,000
_______ × _______ = _______
f. six-hundredths of 4,000
_______ × _______ = _______
2. Solve. Use the top problem in each box to help you solve the bottom one.
a. Find 0.1 × 30 ________
Find 0.4 × 30 ________
b. Find 0.1 × 400 _________
Find 0.6 × 400 _________
c. Find 0.01 × 600 _________
Find 0.07 × 600 _________
d. Find 0.1 × 520 ________
Find 0.3 × 520 ________
e. Find 0.001 × 5,000 _________
Find 0.002 × 5,000 _________
f. Find 0.01 × 800 _________
Find 0.11 × 800 _________
3. Answer. You do not have to calculate.
a. You have learned that 0.1 × 246 means one-tenth of 246.
Will the result of 0.1 × 246 be more or less than 246?
b. Also, 0.1 × 0.8 means one-tenth of 0.8.
Will the result of 0.1 × 0.8 be more or less than 0.8?
c. Will the result of 1.9 × 928 be more or less than 928?
Scaling means expanding or shrinking something by some factor.
This red stick is 40 pixels long.
Let’s scale it to be four times as long:
→
We can write a multiplication "equation":
4 × =
Using pixels, 4 × 40 px = 160 px.
Now let’s scale the red stick to be
0.4 (four-tenths) as long as it is at first:
→
Notice, it shrank! We can write:
0.4 × =
In pixels, 0.4 × 40 px = 16 px.
The number we multiply by (4 and 0.4 above) is called the scaling factor.
If the scaling factor is more than 1, such as 2.3, the resulting stick is longer than the original one.
If the scaling factor is less than 1, such as 0.5 or 0.66, the resulting stick is shorter.
4. The stick is being shrunk. How long will it be in pixels? Compare the problems.
a. 0.1 × =
0.1 × 40 px = ________ px
b. 0.3 × =
0.3 × 40 px = ________ px
c. 0.6 × =
0.6 × 40 px = ________ px
d. 0.2 × =
0.2 × 40 px = ________ px
e. 0.5 × =
0.5 × 40 px = ________ px
f. 0.9 × =
0.9 × 40 px = ________ px
Let’s expand this stick (40 px) to be 1.2 times as long: →
We can write a multiplication: 1.2 × =
To calculate how long it is in pixels, let’s first figure out what 0.2 of 40 is.
Since one-tenth of 40 is 4, then 0.2 of 40 is double that, or 8.
Then, 1.2 × 40 px would be 1 × 40 px and 0.2 × 40 px, or 40 + 8 = 48 pixels.
5. The red stick is 50 pixels long. It is being expanded or shrunk. Fill in the blanks.
a. 0.5 × =
0.5 × 50 px = ________ px
b. 0.3 × =
0.3 × 50 px = ________ px
c. 1.5 × =
1.5 × 50 px = ________ px
d. 1.3 × =
1.3 × 50 px = ________ px
6. Tell if the resulting stick after being "multiplied" will be shorter or longer than the original.
a. 3.1 × will be longer/shorter than
b. 0.3 × will be longer/shorter than
Practice makes perfect. Practice math at IXL.com
Step-by-step explanation: