Math worksheet for kids focusing on estimating solutions to word problems, with three real-world scenarios involving apples, chocolates, and detergent boxes.
A math worksheet for children titled "Estimate to solve word problems," featuring three word problems with multiple-choice answers, each accompanied by a colorful illustration of an apple, chocolate bar, and cleaning spray bottle.
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Step-by-step solution for: Grade 6 Math Word Problems: Tips, Tricks, and Answers
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Show Answer Key & Explanations
Step-by-step solution for: Grade 6 Math Word Problems: Tips, Tricks, and Answers
Let’s solve each problem one by one. We’re estimating, so we’ll round numbers to make the math easier — then pick the better estimate from the choices given.
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Problem 1:
Mr. James sold 422 bags of apples.
Each bag has about 56 apples.
We need to estimate total apples sold.
Step 1: Round the numbers to make multiplication easy.
→ 422 is close to 400
→ 56 is close to 60
Step 2: Multiply the rounded numbers.
400 × 60 = ?
Well, 4 × 6 = 24, and we have three zeros (two from 400, one from 60) → so 24,000
Step 3: Look at the choices:
→ 24,000
→ 20,000
Our estimate is 24,000 — that matches one choice exactly.
✔ Better estimate: 24,000
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Problem 2:
Total chocolates distributed: 896,250
White-chocolate ones: 296,200
We need to estimate how many were *other kinds*.
That means: Total – White = Others
So: 896,250 – 296,200 ≈ ?
Step 1: Round both numbers.
→ 896,250 is close to 900,000
→ 296,200 is close to 300,000
Step 2: Subtract:
900,000 – 300,000 = 600,000
Step 3: Choices are:
→ 120,000
→ 600,000
Our estimate is 600,000 — perfect match.
✔ Better estimate: 600,000
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Problem 3:
Last week: 724 boxes
This week: 2,579 boxes brought in
Total now? Add them up.
Step 1: Round both numbers.
→ 724 is close to 700
→ 2,579 is close to 2,600
Wait — let’s think: 2,579 is actually closer to 2,600, but maybe even simpler:
Some might round 2,579 to 2,500 or 2,600 — let’s try both ways.
Option A: 700 + 2,600 = 3,300
Option B: 700 + 2,500 = 3,200
But look at the choices:
→ 2,700
→ 3,700
Hmm… neither 3,200 nor 3,300 is there. Did we round too much?
Try rounding differently:
What if we round 724 → 700
And 2,579 → 2,600 → sum = 3,300 — still not matching.
Wait — what if we do exact addition first, then see which estimate is closer?
Exact: 724 + 2,579 = ?
724 + 2,579:
Add 700 + 2,500 = 3,200
Then 24 + 79 = 103
Total = 3,200 + 103 = 3,303
Now, compare to choices:
→ 2,700 (too low)
→ 3,700 (a bit high, but closer than 2,700?)
Wait — 3,303 is much closer to 3,700 than to 2,700? Let’s check:
Difference to 2,700: 3,303 – 2,700 = 603
Difference to 3,700: 3,700 – 3,303 = 397
Actually, 397 < 603 → so 3,700 is closer!
But wait — did we misread the question?
“About how many boxes... now in all?”
Maybe they expect us to round before adding.
Alternative approach:
Round 724 → 700
Round 2,579 → 2,600 → sum = 3,300 — still not matching options.
Wait — perhaps they want us to round 2,579 to 3,000? That would be too rough.
Or maybe 724 → 700, 2,579 → 2,500 → 3,200 — still no.
Hold on — let’s re-read the choices: 2,700 and 3,700.
If someone mistakenly subtracted instead of added: 2,579 – 724 ≈ 1,855 — not helpful.
Wait — what if they rounded 724 to 700 and 2,579 to 3,000? Then 700 + 3,000 = 3,700 — ah! That’s probably what they expect.
Because 2,579 is almost 2,600, but sometimes in estimation for kids, they round to nearest thousand.
2,579 → rounds to 3,000? No — 2,579 is closer to 2,600 or 2,500, not 3,000.
But let’s check: 2,579 is less than 2,600 — definitely not 3,000.
Wait — perhaps a typo in my thinking?
Another idea: Maybe “brought to the warehouse” means added to existing stock — yes, that’s correct.
Perhaps the intended rounding is:
724 → 700
2,579 → 2,600 → 3,300 — but since 3,300 isn’t an option, and 3,700 is the only reasonable one above 3,000, maybe they expect 3,700 as the “better” estimate between the two bad choices?
But 3,303 is closer to 3,700 than to 2,700? As calculated earlier: difference to 3,700 is 397, to 2,700 is 603 — so yes, 3,700 is closer.
Alternatively, maybe they want us to round 724 to 700 and 2,579 to 3,000? That gives 3,700 — and perhaps that’s the trick.
In some curricula, they teach to round to the highest place value for estimation.
724 → hundreds place → 700
2,579 → thousands place → 3,000? Wait, 2,579 to nearest thousand is 3,000? No — 2,579 is closer to 3,000 than to 2,000? Let's see:
Distance to 2,000: 579
Distance to 3,000: 421 → oh! 421 < 579 → so yes, 2,579 rounds to 3,000 when rounding to nearest thousand.
Ah! That’s it.
So:
724 → round to nearest hundred: 700
2,579 → round to nearest thousand: 3,000
Sum: 700 + 3,000 = 3,700
And that’s one of the choices.
Perfect.
✔ Better estimate: 3,700
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Final Answer:
1. 24,000
2. 600,000
3. 3,700
---
Problem 1:
Mr. James sold 422 bags of apples.
Each bag has about 56 apples.
We need to estimate total apples sold.
Step 1: Round the numbers to make multiplication easy.
→ 422 is close to 400
→ 56 is close to 60
Step 2: Multiply the rounded numbers.
400 × 60 = ?
Well, 4 × 6 = 24, and we have three zeros (two from 400, one from 60) → so 24,000
Step 3: Look at the choices:
→ 24,000
→ 20,000
Our estimate is 24,000 — that matches one choice exactly.
✔ Better estimate: 24,000
---
Problem 2:
Total chocolates distributed: 896,250
White-chocolate ones: 296,200
We need to estimate how many were *other kinds*.
That means: Total – White = Others
So: 896,250 – 296,200 ≈ ?
Step 1: Round both numbers.
→ 896,250 is close to 900,000
→ 296,200 is close to 300,000
Step 2: Subtract:
900,000 – 300,000 = 600,000
Step 3: Choices are:
→ 120,000
→ 600,000
Our estimate is 600,000 — perfect match.
✔ Better estimate: 600,000
---
Problem 3:
Last week: 724 boxes
This week: 2,579 boxes brought in
Total now? Add them up.
Step 1: Round both numbers.
→ 724 is close to 700
→ 2,579 is close to 2,600
Wait — let’s think: 2,579 is actually closer to 2,600, but maybe even simpler:
Some might round 2,579 to 2,500 or 2,600 — let’s try both ways.
Option A: 700 + 2,600 = 3,300
Option B: 700 + 2,500 = 3,200
But look at the choices:
→ 2,700
→ 3,700
Hmm… neither 3,200 nor 3,300 is there. Did we round too much?
Try rounding differently:
What if we round 724 → 700
And 2,579 → 2,600 → sum = 3,300 — still not matching.
Wait — what if we do exact addition first, then see which estimate is closer?
Exact: 724 + 2,579 = ?
724 + 2,579:
Add 700 + 2,500 = 3,200
Then 24 + 79 = 103
Total = 3,200 + 103 = 3,303
Now, compare to choices:
→ 2,700 (too low)
→ 3,700 (a bit high, but closer than 2,700?)
Wait — 3,303 is much closer to 3,700 than to 2,700? Let’s check:
Difference to 2,700: 3,303 – 2,700 = 603
Difference to 3,700: 3,700 – 3,303 = 397
Actually, 397 < 603 → so 3,700 is closer!
But wait — did we misread the question?
“About how many boxes... now in all?”
Maybe they expect us to round before adding.
Alternative approach:
Round 724 → 700
Round 2,579 → 2,600 → sum = 3,300 — still not matching options.
Wait — perhaps they want us to round 2,579 to 3,000? That would be too rough.
Or maybe 724 → 700, 2,579 → 2,500 → 3,200 — still no.
Hold on — let’s re-read the choices: 2,700 and 3,700.
If someone mistakenly subtracted instead of added: 2,579 – 724 ≈ 1,855 — not helpful.
Wait — what if they rounded 724 to 700 and 2,579 to 3,000? Then 700 + 3,000 = 3,700 — ah! That’s probably what they expect.
Because 2,579 is almost 2,600, but sometimes in estimation for kids, they round to nearest thousand.
2,579 → rounds to 3,000? No — 2,579 is closer to 2,600 or 2,500, not 3,000.
But let’s check: 2,579 is less than 2,600 — definitely not 3,000.
Wait — perhaps a typo in my thinking?
Another idea: Maybe “brought to the warehouse” means added to existing stock — yes, that’s correct.
Perhaps the intended rounding is:
724 → 700
2,579 → 2,600 → 3,300 — but since 3,300 isn’t an option, and 3,700 is the only reasonable one above 3,000, maybe they expect 3,700 as the “better” estimate between the two bad choices?
But 3,303 is closer to 3,700 than to 2,700? As calculated earlier: difference to 3,700 is 397, to 2,700 is 603 — so yes, 3,700 is closer.
Alternatively, maybe they want us to round 724 to 700 and 2,579 to 3,000? That gives 3,700 — and perhaps that’s the trick.
In some curricula, they teach to round to the highest place value for estimation.
724 → hundreds place → 700
2,579 → thousands place → 3,000? Wait, 2,579 to nearest thousand is 3,000? No — 2,579 is closer to 3,000 than to 2,000? Let's see:
Distance to 2,000: 579
Distance to 3,000: 421 → oh! 421 < 579 → so yes, 2,579 rounds to 3,000 when rounding to nearest thousand.
Ah! That’s it.
So:
724 → round to nearest hundred: 700
2,579 → round to nearest thousand: 3,000
Sum: 700 + 3,000 = 3,700
And that’s one of the choices.
Perfect.
✔ Better estimate: 3,700
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Final Answer:
1. 24,000
2. 600,000
3. 3,700
Parent Tip: Review the logic above to help your child master the concept of 6th grade word problems worksheet with answers.