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Rational Numbers: Decimals, Fractions and Word Problems: Grade 7 Math Quiz – PDF Download

    Rational Numbers: Decimals, Fractions and Word Problems – Grade 7 math quiz
    Try these 10 multiple-choice questions on converting fractions to decimals and on adding, subtracting, multiplying and dividing rational numbers in real situations. Watch the signs, and check whether each decimal stops or repeats.
    Grade 7Common Core: 7.NS.A.2d · 7.NS.A.3
    🎯 Rational Numbers: Decimals, Fractions and Word Problems – Grade 7 math quiz
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    Question 1

    What is \(\frac{3}{8}\) written as a decimal?

    A \(0.38\)
    B \(2.67\)
    C \(0.375\)
    D \(0.125\)
    Question 2

    Which fraction is a repeating decimal?

    A \(\frac{3}{8}\)
    B \(\frac{7}{20}\)
    C \(\frac{5}{12}\)
    D \(\frac{9}{25}\)
    Question 3

    What is \(\frac{2}{9}\) as a decimal?

    A \(0.2\)
    B \(0.29\)
    C \(4.5\)
    D \(0.\overline{2}\)
    Question 4

    What is \(-5.6+8.25\)?

    −6−30369-5.68.25
    The two numbers on a number line.
    A \(2.65\)
    B \(-2.65\)
    C \(13.85\)
    D \(-13.85\)
    Question 5

    Evaluate \(-\frac{3}{4}-\left(-\frac{1}{2}\right)\).

    A \(-\frac{5}{4}\)
    B \(\frac{1}{4}\)
    C \(\frac{5}{4}\)
    D \(-\frac{1}{4}\)
    Question 6

    Evaluate \(\left(-\frac{2}{3}\right)\left(-\frac{9}{4}\right)\).

    A \(-\frac{3}{2}\)
    B \(\frac{3}{2}\)
    C \(\frac{8}{27}\)
    D \(\frac{35}{12}\)
    Question 7

    Evaluate \((-7.2)\div(-0.9)\).

    A \(-8\)
    B \(8\)
    C \(0.8\)
    D \(80\)
    Question 8

    The temperature changes from \(12^{\circ}\text{F}\) to \(-5.5^{\circ}\text{F}\). What is the change?

    −10−5051015start: 12end: -5.5
    Two temperatures in degrees F.
    A \(6.5^{\circ}\text{F}\)
    B \(-6.5^{\circ}\text{F}\)
    C \(17.5^{\circ}\text{F}\)
    D \(-17.5^{\circ}\text{F}\)
    Question 9

    An account balance is \(-\$20.50\). After a deposit of $35.25, what is the balance?

    EventAmountStarting balance−$20.50Deposit+$35.25New balance?
    The account.
    A \(\$14.75\)
    B \(\$55.75\)
    C \(-\$14.75\)
    D \(\$15.75\)
    Question 10

    A diver at \(-12.5\) ft goes down another \(3\frac{1}{4}\) ft. What is her new depth?

    −20−17.5−15−12.5−10start: -12.5
    Starting depth in feet.
    A \(-15.75\text{ ft}\)
    B \(-9.25\text{ ft}\)
    C \(15.75\text{ ft}\)
    D \(-15.25\text{ ft}\)

    🎉 Quiz complete!

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    Remember:

    • Every rational number is a terminating or a repeating decimal.
    • Convert \(\frac{a}{b}\) by dividing \(a\) by \(b\); a remainder of \(0\) means the decimal terminates.
    • A repeated remainder means a repeating decimal, written with a bar: \(\frac{5}{11}=0.\overline{45}\).
    • Subtracting a number is adding its opposite: \(a-b=a+(-b)\).
    • Multiplying or dividing two numbers with the same sign gives a positive result; with different signs, a negative result.

    See every chapter on the Grade 7 math page.

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