Mathematics Grade 7 15 min

Round decimals

Round decimals

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1

Introduction & Learning Objectives

Learning Objectives Identify the place value to which a decimal needs to be rounded. Determine the 'rounding digit' based on the digit immediately to its right. Apply the 'round up' rule when the digit to the right is 5 or greater. Apply the 'round down' (or 'keep the same') rule when the digit to the right is less than 5. Accurately round decimals to the nearest whole number, tenth, hundredth, and thousandth. Explain the purpose of rounding decimals in real-world contexts. Ever wondered how stores calculate prices with sales tax, or how scientists report measurements without endless digits? 🤔 It's all thanks to rounding! In this lesson, you'll learn the essential skill of rounding decimals. We'll explore how to simpl...
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Key Concepts & Vocabulary

TermDefinitionExample DecimalA number that includes a whole number part and a fractional part, separated by a decimal point.In 3.14, '3' is the whole number part and '.14' is the fractional part. Place ValueThe value of a digit based on its position in a number. For decimals, positions to the right of the decimal point represent fractions (tenths, hundredths, thousandths, etc.).In 5.273, the '2' is in the tenths place, the '7' is in the hundredths place, and the '3' is in the thousandths place. RoundingThe process of approximating a number to a specified place value, making it simpler while keeping its value close to the original.Rounding 3.14 to the nearest tenth gives 3.1. Target DigitThe digit in the specific place value to which you ar...
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Core Formulas

The Rounding Rule for Decimals 1. Identify the target place value digit. 2. Look at the digit immediately to the right of the target digit. 3. If this 'look-at' digit is 5 or greater (5, 6, 7, 8, 9), round up the target digit. 4. If this 'look-at' digit is less than 5 (0, 1, 2, 3, 4), keep the target digit the same. 5. Drop all digits to the right of the target digit. This is the universal rule for rounding decimals to any specified place value. It ensures that the rounded number is the closest possible approximation. Rounding to a Specific Place Value To round to the nearest whole number, the target digit is in the ones place. To round to the nearest tenth, the target digit is in the tenths place. To round to the nearest hundredth, the target digit i...

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Sample Practice Questions

Challenging
What is the smallest number with three decimal places that rounds to 7.8 when rounded to the nearest tenth?
A.7.700
B.7.750
C.7.801
D.7.749
Challenging
What is the largest number with three decimal places that rounds to 15.2 when rounded to the nearest tenth?
A.15.250
B.15.249
C.15.199
D.15.299
Challenging
A number X is rounded to the nearest hundredth, and the result is 3.50. The same number X is rounded to the nearest tenth, and the result is 3.5. Which of the following could be X?
A.3.496
B.3.508
C.3.494
D.3.551

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