Math / Numbers & Operations

Question5. Calculate and express your answer in decimal form. a) $\frac{1}{2} \cdot 17$ b) $\frac{3}{4} \cdot 200$ c) $(0.2) \cdot 40$ d) $(0.25) \cdot 60$

Studdy Solution

STEP 1

What is this asking? We need to multiply some fractions and decimals, then write the answers as decimals! Watch out! Remember to convert fractions to decimals correctly!

STEP 2

1. Solve part (a)
2. Solve part (b)
3. Solve part (c)
4. Solve part (d)

STEP 3

Alright, let's tackle part (a)!
We've got $\frac{1}{2} \cdot 17$ .
One-half is the same as $\frac{1}{2} = 0.5$ , so we can rewrite this as $0.5 \cdot 17$ .

STEP 4

Now, let's multiply: $0.5 \cdot 17 = 8.5$ .
So, our final answer for part (a) is 8.5!

STEP 5

On to part (b): $\frac{3}{4} \cdot 200$ .
We know that three-fourths is the same as $\frac{3}{4} = 0.75$ , so we have $0.75 \cdot 200$ .

STEP 6

Let's do the multiplication: $0.75 \cdot 200 = 150$ .
So, for part (b), our answer is 150!

STEP 7

Now for part (c): $(0.2) \cdot 40$ .
This one is already set up for us with decimals!

STEP 8

Let's multiply: $0.2 \cdot 40 = 8$ .
So, our answer for part (c) is 8!

STEP 9

Finally, part (d): $(0.25) \cdot 60$ .
Decimals again, awesome!

STEP 10

Let's multiply: $0.25 \cdot 60 = 15$ .
Our answer for part (d) is 15!

STEP 11

a) 8.5 b) 150 c) 8 d) 15

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Question5. Calculate and express your answer in decimal form. a) $\frac{1}{2} \cdot 17$ b) $\frac{3}{4} \cdot 200$ c) $(0.2) \cdot 40$ d) $(0.25) \cdot 60$

Studdy Solution

STEP 1

What is this asking? We need to multiply some fractions and decimals, then write the answers as decimals! Watch out! Remember to convert fractions to decimals correctly!

STEP 2

1. Solve part (a)
2. Solve part (b)
3. Solve part (c)
4. Solve part (d)

STEP 3

Alright, let's tackle part (a)!
We've got $\frac{1}{2} \cdot 17$ .
One-half is the same as $\frac{1}{2} = 0.5$ , so we can rewrite this as $0.5 \cdot 17$ .

STEP 4

Now, let's multiply: $0.5 \cdot 17 = 8.5$ .
So, our final answer for part (a) is 8.5!

STEP 5

On to part (b): $\frac{3}{4} \cdot 200$ .
We know that three-fourths is the same as $\frac{3}{4} = 0.75$ , so we have $0.75 \cdot 200$ .

STEP 6

Let's do the multiplication: $0.75 \cdot 200 = 150$ .
So, for part (b), our answer is 150!

STEP 7

Now for part (c): $(0.2) \cdot 40$ .
This one is already set up for us with decimals!

STEP 8

Let's multiply: $0.2 \cdot 40 = 8$ .
So, our answer for part (c) is 8!

STEP 9

Finally, part (d): $(0.25) \cdot 60$ .
Decimals again, awesome!

STEP 10

Let's multiply: $0.25 \cdot 60 = 15$ .
Our answer for part (d) is 15!

STEP 11

a) 8.5 b) 150 c) 8 d) 15

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Question5. Calculate and express your answer in decimal form. a) 12⋅17\frac{1}{2} \cdot 1721​⋅17 b) 34⋅200\frac{3}{4} \cdot 20043​⋅200 c) (0.2)⋅40(0.2) \cdot 40(0.2)⋅40 d) (0.25)⋅60(0.25) \cdot 60(0.25)⋅60

Studdy Solution

STEP 1

What is this asking? We need to multiply some fractions and decimals, then write the answers as decimals! Watch out! Remember to convert fractions to decimals correctly!

STEP 2

1. Solve part (a)2. Solve part (b)3. Solve part (c)4. Solve part (d)

STEP 3

Alright, let's **tackle** part (a)!We've got 12⋅17\frac{1}{2} \cdot 1721​⋅17.One-half is the same as 12=0.5\frac{1}{2} = 0.521​=0.5, so we can rewrite this as 0.5⋅170.5 \cdot 170.5⋅17.

STEP 4

Now, let's **multiply**: 0.5⋅17=8.50.5 \cdot 17 = 8.50.5⋅17=8.5.So, our **final answer** for part (a) is **8.5**!

STEP 5

On to part (b): 34⋅200\frac{3}{4} \cdot 20043​⋅200.We know that three-fourths is the same as 34=0.75\frac{3}{4} = 0.7543​=0.75, so we have 0.75⋅2000.75 \cdot 2000.75⋅200.

STEP 6

Let's **do the multiplication**: 0.75⋅200=1500.75 \cdot 200 = 1500.75⋅200=150.So, for part (b), our **answer** is **150**!

STEP 7

Now for part (c): (0.2)⋅40(0.2) \cdot 40(0.2)⋅40.This one is already set up for us with decimals!

STEP 8

Let's **multiply**: 0.2⋅40=80.2 \cdot 40 = 80.2⋅40=8.So, our **answer** for part (c) is **8**!

STEP 9

Finally, part (d): (0.25)⋅60(0.25) \cdot 60(0.25)⋅60.Decimals again, awesome!

STEP 10

Let's **multiply**: 0.25⋅60=150.25 \cdot 60 = 150.25⋅60=15.Our **answer** for part (d) is **15**!

STEP 11

a) 8.5 b) 150 c) 8 d) 15

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Question5. Calculate and express your answer in decimal form. a) $\frac{1}{2} \cdot 17$ b) $\frac{3}{4} \cdot 200$ c) $(0.2) \cdot 40$ d) $(0.25) \cdot 60$

1. Solve part (a)
2. Solve part (b)
3. Solve part (c)
4. Solve part (d)

Alright, let's tackle part (a)!
We've got $\frac{1}{2} \cdot 17$ .
One-half is the same as $\frac{1}{2} = 0.5$ , so we can rewrite this as $0.5 \cdot 17$ .

Now, let's multiply: $0.5 \cdot 17 = 8.5$ .
So, our final answer for part (a) is 8.5!

On to part (b): $\frac{3}{4} \cdot 200$ .
We know that three-fourths is the same as $\frac{3}{4} = 0.75$ , so we have $0.75 \cdot 200$ .

Let's do the multiplication: $0.75 \cdot 200 = 150$ .
So, for part (b), our answer is 150!

Now for part (c): $(0.2) \cdot 40$ .
This one is already set up for us with decimals!

Let's multiply: $0.2 \cdot 40 = 8$ .
So, our answer for part (c) is 8!

Finally, part (d): $(0.25) \cdot 60$ .
Decimals again, awesome!

Let's multiply: $0.25 \cdot 60 = 15$ .
Our answer for part (d) is 15!