Answers — Q1: $9,700,000$; Q2: $14,929$; Q3: $153$; Q4: $27,344$; Q5: $36,735$
Q1: Round this number to the nearest 100,000. 9,740,399
The correct answer is: $9,700,000$
Explanation
We look at the hundred-thousands place (the 100,000s digit) and the next digit (ten-thousands) to decide rounding.
Steps:
- Hundred-thousands digit in $9,740,399$ is the 7 (hundred-thousands place).
- The ten-thousands digit is 4, and since $4<5$ we round down.
- Therefore the rounded number is $$9,700,000$$
Q2: Find the Difference. 29,867 – 14,938
The correct answer is: $14,929$
Explanation
Subtract using place-value subtraction (or break apart).
Steps:
- Subtract: $$29,867 – 14,938$$
- Compute: $$29,867 – 14,000 = 15,867$$ then $$15,867 – 938 = 14,929$$
- Final result: $$14,929$$
Q3: Create a story problem for 388 – 235.
The correct answer is: $153$
Explanation (story + solution)
Story: Emma had 388 stickers. She gave 235 stickers to her friends. How many stickers does Emma have left?
Steps:
- Write the subtraction: $$388 – 235$$
- Subtract using regrouping: $$388 – 200 = 188$$ then $$188 – 35 = 153$$
- Answer: Emma has $$153$$ stickers left.
Q4: Use a strategy you have learned to find the product. 3,418 x 8
The correct answer is: $27,344$
Explanation
Use the distributive property (break into thousands and ones) or multiply directly.
Steps:
- Break apart: $$3,418 = 3,400 + 18$$
- Multiply each part by 8: $$3,400\times8 = 27,200$$ and $$18\times8 = 144$$
- Add: $$27,200 + 144 = 27,344$$
Q5: Use a strategy you have learned to find the product. 7,347 x 5
The correct answer is: $36,735$
Explanation
Use multiplying by 10 then halving, or distributive property.
Steps (by halving after ×10):
- Multiply by 10: $$7,347\times10 = 73,470$$
- Half that to get times 5: $$73,470 \div 2 = 36,735$$
- Final product: $$36,735$$