Question

practice 3 comparing numbers to 1 000 000
complete the place - value chart. then use it to compare the numbers.

1. which is greater, 197 210 or 225 302?

compare the value of each digit from left to right.

hundred thousands	ten thousands	thousands	hundreds	tens	ones

____ hundred thousands is greater than ____ hundred thousand.
so, ________ is greater than ________
fill each \\(\bigcirc\\) using “\\(\gt\\)” or “\\(\lt\\)”.

1. \\(128\\ 758\\ \bigcirc\\ 74\\ 906\\)
2. \\(523\\ 719\\ \bigcirc\\ 523\\ 689\\)
3. \\(89\\ 000\\ \bigcirc\\ 712\\ 758\\)
4. \\(635\\ 002\\ \bigcirc\\ 635\\ 100\\)

circle the least number and cross out the greatest number.

1. \\(375\\ 061\\ \\ 172\\ 503\\ \\ 127\\ 203\\ \\ 157\\ 203\\ \\ 371\\ 560\\ \\ 371\\ 605\\)

order the numbers from least to greatest.

1. \\(739\\ 615\\ \\ 795\\ 316\\ \\ 315\\ 679\\ \\ 615\\ 379\\)
2. \\(245\\ 385\\ \\ 805\\ 342\\ \\ 97\\ 632\\ \\ 300\\ 596\\)

Explanation:

Problem 1

Step1: Analyze the place values of the two numbers.

For 197210: Hundred thousands place is 1.
For 2253027: Wait, there's a typo? Wait, maybe 225302? Let's assume it's 225302 (since 2253027 is 2 million, which is way larger, but maybe a typo). Wait, original problem: 197210 or 225302? Let's check the place - value chart. The place - value chart has Hundred thousands, Ten thousands, Thousands, Hundreds, Tens, Ones. So 197210: digits are 1 (hundred thousands), 9 (ten thousands), 7 (thousands), 2 (hundreds), 1 (tens), 0 (ones). 225302: 2 (hundred thousands), 2 (ten thousands), 5 (thousands), 3 (hundreds), 0 (tens), 2 (ones).

Step2: Compare the hundred - thousands place.

2 hundred thousands is greater than 1 hundred thousand.
So, 225302 is greater than 197210 (assuming the second number is 225302, if it's 2253027, then 2253027 > 197210 as 2253027 has 2 hundred thousands (wait, 2253027 has 2 million, so hundred thousands place is 2? Wait, 2253027: digit breakdown: 2 (millions), 2 (hundred thousands), 5 (ten thousands), 3 (thousands), 0 (hundreds), 2 (tens), 7 (ones). 197210: 1 (hundred thousands), 9 (ten thousands), 7 (thousands), 2 (hundreds), 1 (tens), 0 (ones). So hundred thousands place: 2 (in 2253027) vs 1 (in 197210). So 2 hundred thousands is greater than 1 hundred thousand. So 2253027 (if that's the number) is greater than 197210. But likely a typo, maybe 225302. Let's proceed with the place - value comparison.

Step1: Compare the number of digits.

128758 has 6 digits, 74906 has 5 digits. A number with more digits is greater.

Step2: Determine the relation.

Since 128758 has more digits than 74906, 128758 > 74906.

Step1: Compare digits from left to right.

Both numbers 523719 and 523689 have the same digits in hundred thousands (5), ten thousands (2), and thousands (3) places.

Step2: Compare the hundreds place.

In the hundreds place, 7 (in 523719) is greater than 6 (in 523689).

Step3: Determine the relation.

So, 523719 > 523689.

Answer:

2 hundred thousands is greater than 1 hundred thousand. So, 225302 (or 2253027) is greater than 197210.

Problem 2