Alright, let's solve the problem step-by-step.
We are given the number 253, and we want to determine between which two tens and which two hundreds this number lies.
Step 1: Identify the tens place around 253
Start by looking at the tens digit in the number 253, which is 5. We want to find the nearest lower and higher multiples of 10 that bracket the number 253.
1. The lower multiple of 10 is found by dropping the ones digit (3) and keeping the tens digit as is. This gives us:
- Lower multiple: 250
2. The higher multiple of 10 is found by adding 10 to the lower multiple. Therefore:
- Higher multiple: 250 + 10 = 260
So, the number 253 lies between the tens 250 and 260.
Step 2: Identify the hundreds place around 253
Next, look at the hundreds digit in the number 253, which is 2. We want to find the nearest lower and higher multiples of 100 that bracket the number 253.
1. The lower multiple of 100 is found by setting the tens and ones digits to zero. This gives us:
- Lower multiple: 200
2. The higher multiple of 100 is found by adding 100 to the lower multiple. Therefore:
- Higher multiple: 200 + 100 = 300
So, the number 253 lies between the hundreds 200 and 300.
Conclusion:
- The number 253 lies between the tens 250 and 260.
- The number 253 lies between the hundreds 200 and 300.
Hence, the number 253 is between the tens 250 and 260, and the hundreds 200 and 300.
