60×4=tensx4 =-____tens=
The Correct Answer and Explanation is :
To solve the equation step by step, we start with (60 \times 4).
Step 1: Calculate (60 \times 4)
[
60 \times 4 = 240
]
Step 2: Express 240 in terms of tens
Next, we express 240 in tens. Since one ten is 10, we can find how many tens are in 240 by dividing:
[
240 \div 10 = 24 \text{ tens}
]
So, we have:
[
60 \times 4 = 240 \text{ and } 240 = 24 \text{ tens}
]
Step 3: Calculate the equation in terms of tens
Now, we want to express (240) in a way that fits the pattern ( \text{tens} \times 4 = -\text{tens}).
If we denote the number of tens as (x), we have:
[
x \text{ tens} \times 4 = -x \text{ tens}
]
We know from earlier that (x = 24):
[
24 \text{ tens} \times 4 = 96 \text{ tens}
]
Step 4: Solve for negative tens
We can set this up as:
[
96 \text{ tens} = -x \text{ tens}
]
Thus:
[
x = -96
]
Final Answer
Combining all the parts together, we have:
[
60 \times 4 = 240
]
Thus,
[
240 = 24 \text{ tens}
]
and
[
96 \text{ tens} = -96 \text{ tens}
]
To summarize:
- (60 \times 4 = 240)
- (240 = 24) tens
- (96) tens, which leads to (-96) tens.
This exercise demonstrates the relationships between multiplication and the concept of tens, reinforcing the importance of understanding number representation in different forms.