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Fractions, Decimals, and Percentages - Decimals up to two decimal places (hundredths)

Grade 4IGCSE

Review the key concepts, formulae, and examples before starting your quiz.

🔑Concepts

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Understanding Place Value: The first digit to the right of the decimal point represents tenths (1/10), and the second digit represents hundredths (1/100).

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Decimal Point: A dot used to separate the whole number part from the fractional part.

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Converting Fractions to Decimals: Fractions with denominators of 10 or 100 can be easily written as decimals (e.g., 7/100 = 0.07).

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Equivalent Decimals: Understanding that 0.5 is the same as 0.50 (5 tenths is equal to 50 hundredths).

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Comparing Decimals: To compare decimals, first look at the whole numbers, then the tenths, and finally the hundredths.

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Decimals in Context: Using decimals to represent money (£1.25) and measurements (1.45m).

📐Formulae

Tenths=110=0.1\text{Tenths} = \frac{1}{10} = 0.1

Hundredths=1100=0.01\text{Hundredths} = \frac{1}{100} = 0.01

x100=0.0x (if x<10)\frac{x}{100} = 0.0x \text{ (if } x < 10\text{)}

xy100=0.xy\frac{xy}{100} = 0.xy

1 Whole=10 Tenths=100 Hundredths1 \text{ Whole} = 10 \text{ Tenths} = 100 \text{ Hundredths}

💡Examples

Problem 1:

Write the fraction 4100\frac{4}{100} as a decimal.

Solution:

0.040.04

Explanation:

Since the denominator is 100, the last digit must be in the hundredths place (the second column after the decimal). We place the 4 in the hundredths column and a 0 in the tenths column as a placeholder.

Problem 2:

Which number is greater: 0.70.7 or 0.680.68?

Solution:

0.70.7 is greater.

Explanation:

To compare, we can make the number of decimal places equal by writing 0.70.7 as 0.700.70. Comparing 0.700.70 and 0.680.68, 7 tenths is greater than 6 tenths.

Problem 3:

Convert 22 ones, 33 tenths, and 55 hundredths into a decimal number.

Solution:

2.352.35

Explanation:

The 2 goes before the decimal point (ones). The 3 goes in the first spot after the decimal (tenths), and the 5 goes in the second spot (hundredths).

Problem 4:

Round 4.524.52 to the nearest whole number.

Solution:

55

Explanation:

To round to the nearest whole number, look at the tenths digit. Since the tenths digit is 5, we round up the ones digit from 4 to 5.