Solve for Total: Calculate 7 Gifts × 14 Days Multiplication Problem

Q: Why do I multiply instead of add?

Because Sarah wraps 7 gifts each day for multiple days. Think of it as 7 + 7 + 7... (14 times), which equals $ 7 \times 14 $. Addition would only give you one day's work plus the number of days!

Q: How can I remember the formula for rate problems?

Use the pattern: Total = Rate × Time. Just like distance = speed × time, or total cost = price per item × number of items. The multiplication connects the per unit amount to the total.

Q: What if the numbers were harder to multiply?

Break it down! For $ 7 \times 14 $, think $ 7 \times 10 = 70 $ and $ 7 \times 4 = 28 $, then add: $ 70 + 28 = 98 $.

Q: How do I check if my answer makes sense?

Ask yourself: Does 98 gifts seem reasonable? If Sarah wraps about 7 gifts daily for 2 weeks, that's roughly 7 × 14 = 98. You can also divide: 98 ÷ 14 = 7 gifts per day ✓

Multiplication with Real-World Applications

If Sarah wraps 7 gifts per day, how many gifts can she wrap in 14 days?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 How many gifts does Sarah wrap for 14 days?

00:03 Given: number of gifts per day, number of days

00:07 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

If Sarah wraps 7 gifts per day, how many gifts can she wrap in 14 days?

Step-by-step solution

To solve this problem, we'll follow these steps:

Step 1: Identify the given information.
Step 2: Use the multiplication formula to find the total number of gifts wrapped.
Step 3: Compute the total using the given data.

Now, let's work through each step:

Step 1: The problem states that Sarah wraps 7 gifts per day, and we want to find the total for 14 days.

Step 2: We use the formula for total gifts wrapped, which is given by:

$\text{Total gifts} = (\text{gifts per day}) \times (\text{number of days})$

Step 3: Plugging the values into the formula, we get:

$\text{Total gifts} = 7 \times 14$

This results in:

$\text{Total gifts} = 98$

Therefore, the solution to the problem is $98$ .

Final Answer

$98$

Key Points to Remember

Essential concepts to master this topic

Formula: Total = rate per day × number of days
Technique: Calculate 7 gifts/day × 14 days = 98 gifts
Check: Verify 98 ÷ 14 = 7 gifts per day ✓

Common Mistakes

Avoid these frequent errors

Adding instead of multiplying the given values
Don't add 7 + 14 = 21 gifts! This ignores the daily rate completely and gives a much smaller total. Always multiply the rate by the time period to find the total amount.

Practice Quiz

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FAQ

Everything you need to know about this question

Why do I multiply instead of add?

Because Sarah wraps 7 gifts each day for multiple days. Think of it as 7 + 7 + 7... (14 times), which equals $7 \times 14$ . Addition would only give you one day's work plus the number of days!

How can I remember the formula for rate problems?

Use the pattern: Total = Rate × Time. Just like distance = speed × time, or total cost = price per item × number of items. The multiplication connects the per unit amount to the total.

What if the numbers were harder to multiply?

Break it down! For $7 \times 14$ , think $7 \times 10 = 70$ and $7 \times 4 = 28$ , then add: $70 + 28 = 98$ .

How do I check if my answer makes sense?

Ask yourself: Does 98 gifts seem reasonable? If Sarah wraps about 7 gifts daily for 2 weeks, that's roughly 7 × 14 = 98. You can also divide: 98 ÷ 14 = 7 gifts per day ✓

What if the problem asked for a different number of days?

The method stays the same! Just change the second number in your multiplication. For 21 days: $7 \times 21 = 147$ gifts. Always use rate × time = total.

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