Instructions
Read each section carefully and answer the questions in the spaces provided. Show your thinking where necessary. Good luck!
1. Place Value Breakdown
Write these numbers in expanded form. This means writing out the value of each digit.
Example: 521 = 500 + 20 + 1
a) 3,486 = ______ + ______ + ______ + ______
b) 29,405 = ______ + ______ + ______ + ______ + ______
2. Rounding Real-Life Numbers
Rounding helps us make numbers simpler and easier to work with. Round each of the following numbers to the nearest 10, the nearest 100, and the nearest 1,000.
a) 6,724 steps on a pedometer
- Rounded to the nearest 10: _______________
- Rounded to the nearest 100: _______________
- Rounded to the nearest 1,000: _______________
b) 154,892 people in a stadium
- Rounded to the nearest 10: _______________
- Rounded to the nearest 100: _______________
- Rounded to the nearest 1,000: _______________
c) £2,987.65 spent on a family shopping trip
- Rounded to the nearest 10: _______________
- Rounded to the nearest 100: _______________
- Rounded to the nearest 1,000: _______________
3. Estimation in Context
Sometimes a quick, estimated answer is more useful than an exact one. First, round the numbers to make the calculation easier, then find your estimated answer.
a) 198 × 49 ≈ _______________ × _______________ = _______________
b) 4,892 ÷ 52 ≈ _______________ ÷ _______________ = _______________
In your own words, describe one situation where using an estimate is better than calculating an exact answer.
_________________________________________________________________________
_________________________________________________________________________
4. Error Spotting
Your friend was asked to round the number 3,465 to the nearest hundred. They wrote down 3,000.
This is incorrect. What is the correct answer, and what mistake do you think your friend made?
Correct Answer: _______________
Explanation of Mistake:
_________________________________________________________________________
_________________________________________________________________________
5. Riddle Maths
Read the clues carefully to solve this number riddle. Think about the rules of rounding!
I am a whole number between 2,300 and 2,400.
When you round me to the nearest 100, the answer is 2,300.
When you round me to the nearest 10, the answer is 2,345.
What number am I? __________________________________
Answer Key
1. Place Value Breakdown
a) 3,486 = 3000 + 400 + 80 + 6
b) 29,405 = 20000 + 9000 + 400 + 0 + 5 (or 20000 + 9000 + 400 + 5)
2. Rounding Real-Life Numbers
a) 6,724 steps on a pedometer
- Rounded to the nearest 10: 6,720
- Rounded to the nearest 100: 6,700
- Rounded to the nearest 1,000: 7,000
b) 154,892 people in a stadium
- Rounded to the nearest 10: 154,890
- Rounded to the nearest 100: 154,900
- Rounded to the nearest 1,000: 155,000
c) £2,987.65 spent on a family shopping trip
- Rounded to the nearest 10: £2,990
- Rounded to the nearest 100: £3,000
- Rounded to the nearest 1,000: £3,000
3. Estimation in Context
a) 198 × 49 ≈ 200 × 50 = 10,000
b) 4,892 ÷ 52 ≈ 5,000 ÷ 50 = 100
Example situations for using estimation: Quickly checking if you have enough money for your shopping before you get to the checkout; figuring out roughly how long a car journey will take; splitting a restaurant bill between friends.
4. Error Spotting
Correct Answer: 3,500
Explanation of Mistake: Your friend likely rounded to the nearest thousand instead of the nearest hundred. To round to the nearest hundred, you look at the tens digit (6). Since 6 is 5 or greater, you must round the hundreds digit (4) up to 5, making the answer 3,500.
5. Riddle Maths
What number am I? This is a trick question! No such number exists.
Explanation: When you round a number to the nearest 10, the answer must always be a multiple of 10 (it must end in a 0). The number 2,345 does not end in a 0, so it's impossible for a number to be rounded to it.