Solve: Calculate 5 Flowers × 31 Days Using Daily Pattern Multiplication

Q: Why do I multiply 5 by 31 instead of adding them?

Because Diego plants 5 flowers every single day for 31 days! Think of it as 5 + 5 + 5... (31 times). Multiplication is the shortcut for repeated addition of the same amount.

Q: How can I check if 155 is the right answer?

Try reverse division: 155 ÷ 31 = 5 flowers per day ✓. Or think about it: if Diego plants 155 flowers total in 31 days, does that equal 5 per day? Yes!

Q: What if I accidentally chose 515 or 151?

515 might come from mixing up place values (5 × 31 ≠ 515). 151 could be from addition errors. Always double-check your multiplication by using the standard algorithm or breaking it down.

Q: Is there an easier way to calculate 5 × 31?

Yes! Break it down: 5 × 31 = 5 × (30 + 1) = (5 × 30) + (5 × 1) = 150 + 5 = 155. This distributive property makes mental math easier!

Q: What if Diego planted different amounts each day?

Then you couldn't use simple multiplication! You'd need to add up each day individually. But since he plants the same amount daily, multiplication works perfectly here.

Daily Pattern Multiplication with Repeated Addition

Diego plants 5 flowers every day.

How many flowers does Diego plant in 31 days?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 How many flowers does Danny plant in 31 days?

00:04 Given: number of flowers per day, number of days

00:08 We will use long multiplication to calculate

00:11 We will solve each multiplication separately and then substitute in the long multiplication

00:27 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Diego plants 5 flowers every day.

How many flowers does Diego plant in 31 days?

Step-by-step solution

To determine the number of flowers Diego plants in 31 days, we employ the following straightforward approach using multiplication:

Given:

Diego plants $5$ flowers each day.
We are considering a total span of $31$ days.

The formula to find the total number of flowers Diego plants is:

$\text{Total flowers} = (\text{Flowers per day}) \times (\text{Number of days})$

Substituting the values into the formula, we have:

$\text{Total flowers} = 5 \times 31$

Now, perform the multiplication:

$5 \times 31 = 155$

Therefore, Diego plants a total of $\mathbf{155}$ flowers over a 31-day period.

Checking the answer against the choices, we see that the correct option is choice 2: $155$ .

Final Answer

$155$

Key Points to Remember

Essential concepts to master this topic

Pattern Recognition: Daily rate times number of days equals total output
Multiplication Setup: 5 flowers/day × 31 days = 155 flowers total
Verification: Check by adding 5 thirty-one times or reverse division: 155 ÷ 31 = 5 ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying the daily amount
Don't calculate 5 + 31 = 36 flowers! This only gives you flowers from two days, not the total over 31 days. Always multiply daily rate by total number of days to find the complete amount.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I multiply 5 by 31 instead of adding them?

Because Diego plants 5 flowers every single day for 31 days! Think of it as 5 + 5 + 5... (31 times). Multiplication is the shortcut for repeated addition of the same amount.

How can I check if 155 is the right answer?

Try reverse division: 155 ÷ 31 = 5 flowers per day ✓. Or think about it: if Diego plants 155 flowers total in 31 days, does that equal 5 per day? Yes!

What if I accidentally chose 515 or 151?

515 might come from mixing up place values (5 × 31 ≠ 515). 151 could be from addition errors. Always double-check your multiplication by using the standard algorithm or breaking it down.

Is there an easier way to calculate 5 × 31?

Yes! Break it down: 5 × 31 = 5 × (30 + 1) = (5 × 30) + (5 × 1) = 150 + 5 = 155. This distributive property makes mental math easier!

Could this problem be solved with repeated addition?

Absolutely, but it would take forever! You'd need to add: 5 + 5 + 5... thirty-one times. Multiplication is much faster and less prone to counting errors.

What if Diego planted different amounts each day?

Then you couldn't use simple multiplication! You'd need to add up each day individually. But since he plants the same amount daily, multiplication works perfectly here.

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