Bigger units express numbers more simply
4.MD.A.14.MD.A.2
Generated variants — 10
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 72 rods end to end, each 28 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 72 rods
- Each rod is 28 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 72 times 28
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 168 ft = 168 x 12 = 2016 in, plus 0 in = 2016 in, matching the total. The leftover 0 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 28 in = 2 ft 4 in, then 72 rods give 144 ft and 72 x 4 = 288 in = 24 ft 0 in, and 144 + 24 = 168 ft 0 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 72 rods by 28 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 90 rods end to end, each 24 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 90 rods
- Each rod is 24 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 90 times 24
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 180 ft = 180 x 12 = 2160 in, plus 0 in = 2160 in, matching the total. The leftover 0 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 24 in = 2 ft 0 in, then 90 rods give 180 ft and 90 x 0 = 0 in = 0 ft 0 in, and 180 + 0 = 180 ft 0 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 90 rods by 24 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 45 rods end to end, each 30 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 45 rods
- Each rod is 30 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 45 times 30
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 112 ft = 112 x 12 = 1344 in, plus 6 in = 1350 in, matching the total. The leftover 6 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 30 in = 2 ft 6 in, then 45 rods give 90 ft and 45 x 6 = 270 in = 22 ft 6 in, and 90 + 22 = 112 ft 6 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 45 rods by 30 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 66 rods end to end, each 31 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 66 rods
- Each rod is 31 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 66 times 31
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 170 ft = 170 x 12 = 2040 in, plus 6 in = 2046 in, matching the total. The leftover 6 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 31 in = 2 ft 7 in, then 66 rods give 132 ft and 66 x 7 = 462 in = 38 ft 6 in, and 132 + 38 = 170 ft 6 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 66 rods by 31 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 54 rods end to end, each 35 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 54 rods
- Each rod is 35 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 54 times 35
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 157 ft = 157 x 12 = 1884 in, plus 6 in = 1890 in, matching the total. The leftover 6 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 35 in = 2 ft 11 in, then 54 rods give 108 ft and 54 x 11 = 594 in = 49 ft 6 in, and 108 + 49 = 157 ft 6 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 54 rods by 35 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 84 rods end to end, each 22 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 84 rods
- Each rod is 22 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 84 times 22
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 154 ft = 154 x 12 = 1848 in, plus 0 in = 1848 in, matching the total. The leftover 0 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 22 in = 1 ft 10 in, then 84 rods give 84 ft and 84 x 10 = 840 in = 70 ft 0 in, and 84 + 70 = 154 ft 0 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 84 rods by 22 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 60 rods end to end, each 25 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 60 rods
- Each rod is 25 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 60 times 25
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 125 ft = 125 x 12 = 1500 in, plus 0 in = 1500 in, matching the total. The leftover 0 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 25 in = 2 ft 1 in, then 60 rods give 120 ft and 60 x 1 = 60 in = 5 ft 0 in, and 120 + 5 = 125 ft 0 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 60 rods by 25 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 50 rods end to end, each 33 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 50 rods
- Each rod is 33 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 50 times 33
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 137 ft = 137 x 12 = 1644 in, plus 6 in = 1650 in, matching the total. The leftover 6 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 33 in = 2 ft 9 in, then 50 rods give 100 ft and 50 x 9 = 450 in = 37 ft 6 in, and 100 + 37 = 137 ft 6 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 50 rods by 33 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 78 rods end to end, each 27 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 78 rods
- Each rod is 27 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 78 times 27
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 175 ft = 175 x 12 = 2100 in, plus 6 in = 2106 in, matching the total. The leftover 6 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 27 in = 2 ft 3 in, then 78 rods give 156 ft and 78 x 3 = 234 in = 19 ft 6 in, and 156 + 19 = 175 ft 6 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 78 rods by 27 in to get the total inches.
A fence is made by joining rods, each long, end to end without overlapping. Find the length of the fence in feet and inches. (Use .)
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Understand
A fence is built by joining 96 rods end to end, each 19 inches long, with no overlap. Find the total length expressed in feet and inches, using 12 in = 1 ft.
- There are 96 rods
- Each rod is 19 in long
- Rods are joined end to end with no overlap
- 12 in = 1 ft
- The total fence length in feet and inches
- Total length in inches is 96 times 19
- To convert inches to feet, divide by 12; the remainder is leftover inches (less than 12)
Plan
#8 Analyze the Units · also uses: #7 Identify Subproblems
This is a measurement-conversion problem: first find the total inches by multiplying, then convert to the larger unit of feet by dividing by 12, keeping the remainder as inches. Watching the units (inches to feet) guides the divide-by-12 step.
Execute
Review
Convert back: 152 ft = 152 x 12 = 1824 in, plus 0 in = 1824 in, matching the total. The leftover 0 in is less than 12, so the conversion is proper.
Identify subproblems (tool 7): convert each rod first, since 19 in = 1 ft 7 in, then 96 rods give 96 ft and 96 x 7 = 672 in = 56 ft 0 in, and 96 + 56 = 152 ft 0 in, the same answer.
Standards · min grade 4
4.MD.A.1Know relative sizes of measurement units and convert larger to smaller units — Converting the total inches into feet and inches using 12 in = 1 ft.4.NBT.B.5Multiply a whole number of up to four digits by a one-digit whole number — Multiplying 96 rods by 19 in to get the total inches.