Mathematics Grade 5 15 min

Round to the nearest ten or hundred

Round to the nearest ten or hundred

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Introduction & Learning Objectives

Learning Objectives Identify the tens and hundreds place in a whole number. Determine the rounding digit and the digit to its right. Apply the rounding rule to round whole numbers to the nearest ten. Apply the rounding rule to round whole numbers to the nearest hundred. Explain the purpose of rounding in real-world contexts. Estimate quantities by rounding to the nearest ten or hundred. Ever wonder how stores estimate how many toys to order for the holidays? 🎁 It's all about rounding! In this lesson, you'll learn how to simplify numbers by replacing them with approximate values that are easier to use. This skill helps us make quick estimates and understand numbers better in everyday situations, especially when dealing with larger numbers. Real-World Applications...
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Key Concepts & Vocabulary

TermDefinitionExample Place ValueThe value of a digit based on its position in a number.In the number 345, the digit '4' is in the tens place, meaning it represents 40. DigitA single symbol used to write numbers (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).In the number 78, '7' and '8' are individual digits. RoundingReplacing a number with an approximate value that is close to the original number but simpler to use.Rounding 47 to the nearest ten gives 50. Nearest TenThe multiple of ten (like 10, 20, 30, etc.) that a number is closest to.The number 23 is nearest to 20. Nearest HundredThe multiple of one hundred (like 100, 200, 300, etc.) that a number is closest to.The number 178 is nearest to 200. Rounding DigitThe digit in the specific place value you are rounding to (e.g...
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Core Formulas

Rounding to the Nearest Ten 1. Identify the digit in the tens place. 2. Look at the digit immediately to its right (the ones place). 3. If this digit is 0, 1, 2, 3, or 4, keep the tens digit the same. 4. If this digit is 5, 6, 7, 8, or 9, round the tens digit up by one. 5. Change all digits to the right of the tens place to zero. Use this rule to simplify a whole number to the closest multiple of ten. This is useful for quick calculations and estimations. Rounding to the Nearest Hundred 1. Identify the digit in the hundreds place. 2. Look at the digit immediately to its right (the tens place). 3. If this digit is 0, 1, 2, 3, or 4, keep the hundreds digit the same. 4. If this digit is 5, 6, 7, 8, or 9, round the hundreds digit up by one. 5. Change all digits to the right of the...

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Sample Practice Questions

Challenging
A number is rounded to the nearest hundred, and the result is 500. The same number is rounded to the nearest ten, and the result is 530. What is the greatest possible whole number it could be?
A.529
B.530
C.534
D.549
Challenging
If you round the number 496 to the nearest ten, you get 500. If you then take that result (500) and round it to the nearest hundred, you get 500. However, if you round the original number (496) directly to the nearest hundred, you get 500. Now consider the number 446. Why does rounding in two steps (to ten, then to hundred) give a DIFFERENT result than rounding directly to the nearest hundred?
A.Because 446 has an even digit in the ones place.
B.Because rounding is not accurate for numbers less than 500.
C.Because the first rounding step (to 450) crosses the 'midpoint' for the second rounding step, changing the outcome.
D.Because you should never round a number more than once.
Challenging
What is the range of all whole numbers that, when rounded to the nearest ten, result in the number 1,200?
A.1190 to 1210
B.1195 to 1204
C.1195 to 1205
D.1200 to 1210

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