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This test develops understanding of decimal place value and operations with decimals. Students compare decimal numbers, add, subtract, multiply and divide them and check that the decimal point is placed correctly in each result.
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Align the decimal points and corresponding place values. Add trailing zeros if needed. Add from the right, carrying when necessary, and keep the decimal point aligned. For example, 2.35 + 1.4 = 3.75.
Perform decimal multiplication or division before addition. For multiplication, multiply as whole numbers and then place the decimal point using the total number of decimal places in both factors. For division, multiply both numbers by the same power of 10 to make the divisor a whole number.
Convert a fraction to a decimal by dividing its numerator by its denominator. A denominator of 10, 100 or 1000 requires one, two or three decimal places respectively. For example, 7/100 = 0.07.
Align the decimal points and corresponding place values. Add trailing zeros if needed. Add from the right, carrying when necessary, and keep the decimal point aligned. For example, 2.35 + 1.4 = 3.75.
Percent means hundredths. Divide the percentage number by 100, moving the decimal point two places left. For example, 7% = 0.07 and 125% = 1.25.
To find the stated part of a number, multiply the number by the fraction or decimal multiplier given in the question.
Result = a · b.
If a is given as a percentage, first convert it to a fraction: a% = a / 100.
Multiplication by 10 moves the decimal point one place right; multiplication by 100 moves it two places. Add zeros if needed. For example, 2.35 × 10 = 23.5 and 2.35 × 100 = 235.
Multiplication by 10 moves the decimal point one place right; multiplication by 100 moves it two places. Add zeros if needed. For example, 2.35 × 10 = 23.5 and 2.35 × 100 = 235.
Align decimal points and add trailing zeros if needed. Subtract from the right, regrouping one unit of a higher place into ten units of the next place when necessary. Keep the decimal point aligned. For example, 4.2 − 1.35 = 2.85.
Perform decimal multiplication or division before addition. For multiplication, multiply as whole numbers and then place the decimal point using the total number of decimal places in both factors. For division, multiply both numbers by the same power of 10 to make the divisor a whole number.
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For decimal addition and subtraction, align decimal points. For multiplication, calculate without decimal points first and then place the point using the total number of decimal places in both factors.
To divide by a decimal, make the divisor a whole number by moving the decimal point by the same number of places in both numbers. Check the result with an estimate.
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Full Grade 6 mathematics test with mixed topics, dynamically selected questions and a choice of duration. Practise before an assessment or review the whole course at your own pace.
Complete an outcome tree, count outcomes, find probabilities and use the complement rule.
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https://www.catestia.com/en/mathematics/6th-grade/decimal-fractions-test/11/