Solve multi-step decimal problems in order
5.NBT.B.7
Generated variants — 12
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 1.8 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 1.8 km.
- Evan: 0.3 km less than 0.9 times Nami's.
- Jacob: 1.7 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.32 is a little under 0.9 times Nami's, as the wording says, and Jacob's 2.244 is 1.7 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 1.9 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 1.9 km.
- Evan: 0.2 km less than 0.7 times Nami's.
- Jacob: 1.8 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.13 is a little under 0.7 times Nami's, as the wording says, and Jacob's 2.034 is 1.8 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 1.5 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 1.5 km.
- Evan: 0.1 km less than 0.9 times Nami's.
- Jacob: 2 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.25 is a little under 0.9 times Nami's, as the wording says, and Jacob's 2.5 is 2 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 2.1 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 2.1 km.
- Evan: 0.5 km less than 0.8 times Nami's.
- Jacob: 1.5 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.18 is a little under 0.8 times Nami's, as the wording says, and Jacob's 1.77 is 1.5 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 2.4 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 2.4 km.
- Evan: 0.3 km less than 0.8 times Nami's.
- Jacob: 1.6 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.62 is a little under 0.8 times Nami's, as the wording says, and Jacob's 2.592 is 1.6 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 1.6 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 1.6 km.
- Evan: 0.2 km less than 0.7 times Nami's.
- Jacob: 2.4 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 0.92 is a little under 0.7 times Nami's, as the wording says, and Jacob's 2.208 is 2.4 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 2.7 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 2.7 km.
- Evan: 0.3 km less than 0.5 times Nami's.
- Jacob: 2.6 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.05 is a little under 0.5 times Nami's, as the wording says, and Jacob's 2.73 is 2.6 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 2.5 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 2.5 km.
- Evan: 0.1 km less than 0.6 times Nami's.
- Jacob: 2.8 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.4 is a little under 0.6 times Nami's, as the wording says, and Jacob's 3.92 is 2.8 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 2.8 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 2.8 km.
- Evan: 0.2 km less than 0.5 times Nami's.
- Jacob: 3 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.2 is a little under 0.5 times Nami's, as the wording says, and Jacob's 3.6 is 3 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 3 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 3 km.
- Evan: 0.7 km less than 0.8 times Nami's.
- Jacob: 1.9 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.7 is a little under 0.8 times Nami's, as the wording says, and Jacob's 3.23 is 1.9 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 3.2 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 3.2 km.
- Evan: 0.4 km less than 0.6 times Nami's.
- Jacob: 2.5 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.52 is a little under 0.6 times Nami's, as the wording says, and Jacob's 3.8 is 2.5 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.
Nami walks in one hour. In one hour, Evan walked less than times Nami's distance, and Jacob walked times Evan's distance. Who walked the farthest in one hour?
Show solution
1 · Understandwhat's really being asked
Nami walks 3.6 km in an hour. Evan's distance is described through Nami's, and Jacob's through Evan's. We must say who covered the most.
Givens
- Nami: 3.6 km.
- Evan: 0.6 km less than 0.7 times Nami's.
- Jacob: 2.2 times Evan's.
Unknowns
- Who walked the farthest, and how far.
Constraints
- Each distance is defined through the one before it, so they must be worked out in order.
2 · Planchoose the strategy
#7 Identify Subproblems
Jacob's distance cannot be found before Evan's, and Evan's not before Nami's is used. Take them one at a time in that order, then compare all three at the end.
3 · Execute3 carry out the plan
1Find Evan's distance
2Find Jacob's distance
3Compare all three distances
4 · Reviewdoes it hold up?
Evan's 1.92 is a little under 0.7 times Nami's, as the wording says, and Jacob's 4.224 is 2.2 times that -- each step is the right size.
Standardsmin grade 5
5.NBT.B.7Add, subtract, multiply, and divide decimals to hundredths — Every multiplication and subtraction in the chain, and the final comparison.