Comparing Numbers to 1000 - Free Printable
Educational worksheet: Comparing Numbers to 1000. Download and print for classroom or home learning activities.
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Step-by-step solution for: Comparing Numbers to 1000
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Show Answer Key & Explanations
Step-by-step solution for: Comparing Numbers to 1000
Let’s solve this step by step.
We are comparing pairs of numbers and putting the correct symbol:
- “>” means greater than (left number is bigger)
- “<” means less than (right number is bigger)
- “=” means equal to (both numbers are the same)
---
We’ll go row by row, left to right.
#### First column (> greater than):
1. 145 > 134 → ✔ 145 is bigger → >
2. 209 > 208 → ✔ 209 is bigger → >
3. 142 > 129 → ✔ 142 is bigger → >
4. 159 > 153 → ✔ 159 is bigger → >
5. 177 > 169 → ✔ 177 is bigger → >
6. 117 > 126 → ✘ 117 is smaller → should be <, but wait — this column is labeled “> greater than”, so we’re supposed to check if the left is greater? Actually, looking at the worksheet layout, it seems like each column has a header telling you what symbol to use *if* that relationship is true. But actually, re-reading the instruction:
> “Use the correct symbol >, < or = between each of the pairs of numbers.”
And then there are three columns with headers:
- Left column: “> greater than” — meaning, for these pairs, decide if left > right, and put > if yes, otherwise put < or =?
Wait — no, that doesn’t make sense.
Actually, looking again — the worksheet has 3 main sections:
Section A: For each pair, choose the correct symbol from >, <, or =. The columns are just grouped under headings that show examples? No — let me read carefully.
The top says:
> Use the correct symbol >, < or = between each of the pairs of numbers.
Then below that, there are three columns:
First column header: “> greater than” — and underneath are pairs like 145 ___ 134, etc.
Second column: “< less than” — pairs like 145 ___ 168
Third column: “= equals” — pairs like 152 ___ 152
Ah! I think I misunderstood.
Actually, looking at the structure — it's likely that each column is a separate set of problems, and the header tells you what kind of comparison to do? But that doesn't fit because in the first column, 145 and 134 — 145 > 134, so you’d put >. In the second column, 145 and 168 — 145 < 168, so you’d put <. Third column, 152 and 152 — equal, so =.
But then why have headers? Maybe the headers are just labels for the type of symbol you're practicing? Or perhaps it's mislabeled?
Wait — look at the third column: all pairs are identical? Let’s check:
Third column (“= equals”):
152 ___ 152 → =
148 ___ 148 → =
131 ___ 131 → =
164 ___ 164 → =
128 ___ 128 → =
101 ___ 101 → =
129 ___ 129 → =
108 ___ 108 → =
108 ___ 108 → =
152 ___ 152 → =
137 ___ 137 → =
129 ___ 129 → =
All are equal! So for the third column, every answer is “=”.
Similarly, second column (“< less than”) — let’s check if left is always less than right:
145 ___ 168 → 145 < 168 → yes
142 ___ 129 → 142 > 129 → oh! Not less than. So maybe the headers are not indicating the relationship, but rather grouping the problems? That can’t be.
Perhaps the headers are just titles for the columns, and we ignore them for solving — we just compare each pair independently and put >, <, or = as appropriate.
That makes more sense. Because otherwise, in the second column, 142 and 129 — 142 is not less than 129, so if the column was meant to be “put < here”, it would be wrong.
I think the headers are misleading or poorly placed. Probably, the worksheet intends for us to compare each pair and write the correct symbol regardless of the column header.
Moreover, in the bottom part, it says: “In each row below, draw a rectangle around the smallest number and draw a circle around the largest.” — which is a different task.
So for the top part, we have 12 rows × 3 columns = 36 comparisons.
Let me list all pairs and solve them one by one.
I'll organize by row.
Row 1:
- Col1: 145 vs 134 → 145 > 134 → >
- Col2: 145 vs 168 → 145 < 168 → <
- Col3: 152 vs 152 → =
Row 2:
- Col1: 209 vs 208 → 209 > 208 → >
- Col2: 142 vs 129 → 142 > 129 → > (but column header says "< less than" — but we ignore header, just compare)
Wait, this is confusing. If we follow the header, for col2 we should only put < if left < right, but 142 > 129, so we wouldn't put anything? That doesn't make sense.
Perhaps the headers are indicating the symbol to use for that entire column? But that can't be because in col2, some pairs have left < right, some have left > right.
Let me check the actual values in col2:
Col2 pairs:
145, 168 → 145 < 168
142, 129 → 142 > 129
118, 128 → 118 < 128
153, 164 → 153 < 164
169, 177 → 169 < 177
126, 117 → 126 > 117
153, 159 → 153 < 159
147, 162 → 147 < 162
103, 108 → 103 < 108
103, 114 → 103 < 114
114, 116 → 114 < 116
125, 129 → 125 < 129
So in col2, most are left < right, but two are left > right: row2 (142,129) and row6 (126,117).
Similarly, col1:
145,134 → >
209,208 → >
142,129 → >
159,153 → >
177,169 → >
117,126 → < (here left < right)
159,153 → > (row7)
162,147 → >
179,153 → >
103,103 → = ? Wait, row9 col1: 103 vs 103? Let's see the image text.
From the user's OCR-like text:
"145 134 | 145 168 | 152 152
209 208 | 142 129 | 148 148
142 129 | 118 128 | 131 131
159 153 | 153 164 | 164 164
177 169 | 169 177 | 128 128
117 126 | 126 117 | 101 101
159 153 | 153 159 | 129 129
162 147 | 147 162 | 108 108
179 153 | 103 108 | 108 108
103 103 | 103 114 | 152 152
121 114 | 114 116 | 137 137
125 125 | 125 129 | 129 129"
Oh! I see now. In row 9, col1: 103 vs 103 — that's equal.
Row 12, col1: 125 vs 125 — equal.
So for col1, not all are greater; some are equal or less.
Therefore, the column headers are probably just decorative or indicating the type of symbol being practiced, but we must evaluate each pair individually.
So, for each cell, we compare the two numbers and put >, <, or = as appropriate.
Let's do it systematically.
I'll create a grid.
Rows 1 to 12, Columns 1,2,3.
Define:
For each pair (A,B), output symbol S where:
- if A > B, S = '>'
- if A < B, S = '<'
- if A == B, S = '='
Now, let's list all:
Row 1:
C1: 145,134 → 145>134 → '>'
C2: 145,168 → 145<168 → '<'
C3: 152,152 → '='
Row 2:
C1: 209,208 → '>'
C2: 142,129 → 142>129 → '>'
C3: 148,148 → '='
Row 3:
C1: 142,129 → '>'
C2: 118,128 → 118<128 → '<'
C3: 131,131 → '='
Row 4:
C1: 159,153 → '>'
C2: 153,164 → 153<164 → '<'
C3: 164,164 → '='
Row 5:
C1: 177,169 → '>'
C2: 169,177 → 169<177 → '<'
C3: 128,128 → '='
Row 6:
C1: 117,126 → 117<126 → '<'
C2: 126,117 → 126>117 → '>'
C3: 101,101 → '='
Row 7:
C1: 159,153 → '>'
C2: 153,159 → 153<159 → '<'
C3: 129,129 → '='
Row 8:
C1: 162,147 → 162>147 → '>'
C2: 147,162 → 147<162 → '<'
C3: 108,108 → '='
Row 9:
C1: 179,153 → '>'
C2: 103,108 → 103<108 → '<'
C3: 108,108 → '='
Row 10:
C1: 103,103 → '='
C2: 103,114 → 103<114 → '<'
C3: 152,152 → '='
Row 11:
C1: 121,114 → 121>114 → '>'
C2: 114,116 → 114<116 → '<'
C3: 137,137 → '='
Row 12:
C1: 125,125 → '='
C2: 125,129 → 125<129 → '<'
C3: 129,129 → '='
Now, for the bottom part: "In each row below, draw a rectangle around the smallest number and draw a circle around the largest."
This is a separate section. It has multiple rows of numbers, and for each row, find min and max.
The rows are given as:
Row A: 251, 165, 38, 59, 132, 109, 170, 62
Row B: 243, 137, 183, 156, 98, 91, 156, 83
Row C: 271, 148, 101, 94, 138, 133, 115, 149
Row D: 281, 190, 172, 128, 176, 118, 127, 124
Row E: 244, 131, 121, 147, 157, 117, 102, 187
Row F: 301, 197, 127, 119, 191, 136, 165, 185
For each row, identify smallest and largest.
Let's do Row A: 251, 165, 38, 59, 132, 109, 170, 62
Sort mentally: 38, 59, 62, 109, 132, 165, 170, 251
Min: 38, Max: 251
Row B: 243, 137, 183, 156, 98, 91, 156, 83
Numbers: 83, 91, 98, 137, 156, 156, 183, 243
Min: 83, Max: 243
Row C: 271, 148, 101, 94, 138, 133, 115, 149
Sort: 94, 101, 115, 133, 138, 148, 149, 271
Min: 94, Max: 271
Row D: 281, 190, 172, 128, 176, 118, 127, 124
Sort: 118, 124, 127, 128, 172, 176, 190, 281
Min: 118, Max: 281
Row E: 244, 131, 121, 147, 157, 117, 102, 187
Sort: 102, 117, 121, 131, 147, 157, 187, 244
Min: 102, Max: 244
Row F: 301, 197, 127, 119, 191, 136, 165, 185
Sort: 119, 127, 13
We are comparing pairs of numbers and putting the correct symbol:
- “>” means greater than (left number is bigger)
- “<” means less than (right number is bigger)
- “=” means equal to (both numbers are the same)
---
Part 1: Fill in the symbols for each pair
We’ll go row by row, left to right.
#### First column (> greater than):
1. 145 > 134 → ✔ 145 is bigger → >
2. 209 > 208 → ✔ 209 is bigger → >
3. 142 > 129 → ✔ 142 is bigger → >
4. 159 > 153 → ✔ 159 is bigger → >
5. 177 > 169 → ✔ 177 is bigger → >
6. 117 > 126 → ✘ 117 is smaller → should be <, but wait — this column is labeled “> greater than”, so we’re supposed to check if the left is greater? Actually, looking at the worksheet layout, it seems like each column has a header telling you what symbol to use *if* that relationship is true. But actually, re-reading the instruction:
> “Use the correct symbol >, < or = between each of the pairs of numbers.”
And then there are three columns with headers:
- Left column: “> greater than” — meaning, for these pairs, decide if left > right, and put > if yes, otherwise put < or =?
Wait — no, that doesn’t make sense.
Actually, looking again — the worksheet has 3 main sections:
Section A: For each pair, choose the correct symbol from >, <, or =. The columns are just grouped under headings that show examples? No — let me read carefully.
The top says:
> Use the correct symbol >, < or = between each of the pairs of numbers.
Then below that, there are three columns:
First column header: “> greater than” — and underneath are pairs like 145 ___ 134, etc.
Second column: “< less than” — pairs like 145 ___ 168
Third column: “= equals” — pairs like 152 ___ 152
Ah! I think I misunderstood.
Actually, looking at the structure — it's likely that each column is a separate set of problems, and the header tells you what kind of comparison to do? But that doesn't fit because in the first column, 145 and 134 — 145 > 134, so you’d put >. In the second column, 145 and 168 — 145 < 168, so you’d put <. Third column, 152 and 152 — equal, so =.
But then why have headers? Maybe the headers are just labels for the type of symbol you're practicing? Or perhaps it's mislabeled?
Wait — look at the third column: all pairs are identical? Let’s check:
Third column (“= equals”):
152 ___ 152 → =
148 ___ 148 → =
131 ___ 131 → =
164 ___ 164 → =
128 ___ 128 → =
101 ___ 101 → =
129 ___ 129 → =
108 ___ 108 → =
108 ___ 108 → =
152 ___ 152 → =
137 ___ 137 → =
129 ___ 129 → =
All are equal! So for the third column, every answer is “=”.
Similarly, second column (“< less than”) — let’s check if left is always less than right:
145 ___ 168 → 145 < 168 → yes
142 ___ 129 → 142 > 129 → oh! Not less than. So maybe the headers are not indicating the relationship, but rather grouping the problems? That can’t be.
Perhaps the headers are just titles for the columns, and we ignore them for solving — we just compare each pair independently and put >, <, or = as appropriate.
That makes more sense. Because otherwise, in the second column, 142 and 129 — 142 is not less than 129, so if the column was meant to be “put < here”, it would be wrong.
I think the headers are misleading or poorly placed. Probably, the worksheet intends for us to compare each pair and write the correct symbol regardless of the column header.
Moreover, in the bottom part, it says: “In each row below, draw a rectangle around the smallest number and draw a circle around the largest.” — which is a different task.
So for the top part, we have 12 rows × 3 columns = 36 comparisons.
Let me list all pairs and solve them one by one.
I'll organize by row.
Row 1:
- Col1: 145 vs 134 → 145 > 134 → >
- Col2: 145 vs 168 → 145 < 168 → <
- Col3: 152 vs 152 → =
Row 2:
- Col1: 209 vs 208 → 209 > 208 → >
- Col2: 142 vs 129 → 142 > 129 → > (but column header says "< less than" — but we ignore header, just compare)
Wait, this is confusing. If we follow the header, for col2 we should only put < if left < right, but 142 > 129, so we wouldn't put anything? That doesn't make sense.
Perhaps the headers are indicating the symbol to use for that entire column? But that can't be because in col2, some pairs have left < right, some have left > right.
Let me check the actual values in col2:
Col2 pairs:
145, 168 → 145 < 168
142, 129 → 142 > 129
118, 128 → 118 < 128
153, 164 → 153 < 164
169, 177 → 169 < 177
126, 117 → 126 > 117
153, 159 → 153 < 159
147, 162 → 147 < 162
103, 108 → 103 < 108
103, 114 → 103 < 114
114, 116 → 114 < 116
125, 129 → 125 < 129
So in col2, most are left < right, but two are left > right: row2 (142,129) and row6 (126,117).
Similarly, col1:
145,134 → >
209,208 → >
142,129 → >
159,153 → >
177,169 → >
117,126 → < (here left < right)
159,153 → > (row7)
162,147 → >
179,153 → >
103,103 → = ? Wait, row9 col1: 103 vs 103? Let's see the image text.
From the user's OCR-like text:
"145 134 | 145 168 | 152 152
209 208 | 142 129 | 148 148
142 129 | 118 128 | 131 131
159 153 | 153 164 | 164 164
177 169 | 169 177 | 128 128
117 126 | 126 117 | 101 101
159 153 | 153 159 | 129 129
162 147 | 147 162 | 108 108
179 153 | 103 108 | 108 108
103 103 | 103 114 | 152 152
121 114 | 114 116 | 137 137
125 125 | 125 129 | 129 129"
Oh! I see now. In row 9, col1: 103 vs 103 — that's equal.
Row 12, col1: 125 vs 125 — equal.
So for col1, not all are greater; some are equal or less.
Therefore, the column headers are probably just decorative or indicating the type of symbol being practiced, but we must evaluate each pair individually.
So, for each cell, we compare the two numbers and put >, <, or = as appropriate.
Let's do it systematically.
I'll create a grid.
Rows 1 to 12, Columns 1,2,3.
Define:
For each pair (A,B), output symbol S where:
- if A > B, S = '>'
- if A < B, S = '<'
- if A == B, S = '='
Now, let's list all:
Row 1:
C1: 145,134 → 145>134 → '>'
C2: 145,168 → 145<168 → '<'
C3: 152,152 → '='
Row 2:
C1: 209,208 → '>'
C2: 142,129 → 142>129 → '>'
C3: 148,148 → '='
Row 3:
C1: 142,129 → '>'
C2: 118,128 → 118<128 → '<'
C3: 131,131 → '='
Row 4:
C1: 159,153 → '>'
C2: 153,164 → 153<164 → '<'
C3: 164,164 → '='
Row 5:
C1: 177,169 → '>'
C2: 169,177 → 169<177 → '<'
C3: 128,128 → '='
Row 6:
C1: 117,126 → 117<126 → '<'
C2: 126,117 → 126>117 → '>'
C3: 101,101 → '='
Row 7:
C1: 159,153 → '>'
C2: 153,159 → 153<159 → '<'
C3: 129,129 → '='
Row 8:
C1: 162,147 → 162>147 → '>'
C2: 147,162 → 147<162 → '<'
C3: 108,108 → '='
Row 9:
C1: 179,153 → '>'
C2: 103,108 → 103<108 → '<'
C3: 108,108 → '='
Row 10:
C1: 103,103 → '='
C2: 103,114 → 103<114 → '<'
C3: 152,152 → '='
Row 11:
C1: 121,114 → 121>114 → '>'
C2: 114,116 → 114<116 → '<'
C3: 137,137 → '='
Row 12:
C1: 125,125 → '='
C2: 125,129 → 125<129 → '<'
C3: 129,129 → '='
Now, for the bottom part: "In each row below, draw a rectangle around the smallest number and draw a circle around the largest."
This is a separate section. It has multiple rows of numbers, and for each row, find min and max.
The rows are given as:
Row A: 251, 165, 38, 59, 132, 109, 170, 62
Row B: 243, 137, 183, 156, 98, 91, 156, 83
Row C: 271, 148, 101, 94, 138, 133, 115, 149
Row D: 281, 190, 172, 128, 176, 118, 127, 124
Row E: 244, 131, 121, 147, 157, 117, 102, 187
Row F: 301, 197, 127, 119, 191, 136, 165, 185
For each row, identify smallest and largest.
Let's do Row A: 251, 165, 38, 59, 132, 109, 170, 62
Sort mentally: 38, 59, 62, 109, 132, 165, 170, 251
Min: 38, Max: 251
Row B: 243, 137, 183, 156, 98, 91, 156, 83
Numbers: 83, 91, 98, 137, 156, 156, 183, 243
Min: 83, Max: 243
Row C: 271, 148, 101, 94, 138, 133, 115, 149
Sort: 94, 101, 115, 133, 138, 148, 149, 271
Min: 94, Max: 271
Row D: 281, 190, 172, 128, 176, 118, 127, 124
Sort: 118, 124, 127, 128, 172, 176, 190, 281
Min: 118, Max: 281
Row E: 244, 131, 121, 147, 157, 117, 102, 187
Sort: 102, 117, 121, 131, 147, 157, 187, 244
Min: 102, Max: 244
Row F: 301, 197, 127, 119, 191, 136, 165, 185
Sort: 119, 127, 13
Parent Tip: Review the logic above to help your child master the concept of comparing whole numbers worksheet.