Review 7NS1 Add and Subtract Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you add two fractions with different denominators?

Back

To add two fractions with different denominators, find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then add the numerators.

Front

What is the process for subtracting fractions?

Back

To subtract fractions, find a common denominator, convert each fraction to an equivalent fraction with that denominator, and then subtract the numerators.

Front

What is the mixed number representation of the improper fraction \(\frac{31}{10}\)?

Back

The mixed number representation of \(\frac{31}{10}\) is \(3\frac{1}{10}\).

Front

How do you convert a mixed number to an improper fraction?

Back

To convert a mixed number to an improper fraction, multiply the whole number by the denominator, add the numerator, and place that result over the original denominator.

Front

What is the result of adding a negative number to a positive number?

Back

When adding a negative number to a positive number, you subtract the absolute value of the negative number from the positive number.

Front

How do you simplify the expression \(-7.4 - (-13.67)\)?

Back

To simplify \(-7.4 - (-13.67)\), change the subtraction of a negative to addition: \(-7.4 + 13.67 = 6.27\).

Front

What is the difference between \(16.2\) and \(9.73\)?

Back

The difference between \(16.2\) and \(9.73\) is \(6.47\).

Front

How do you represent \(-6.5 + 8\) on a number line?

Back

To represent \(-6.5 + 8\) on a number line, start at \(-6.5\) and move 8 units to the right, landing at \(1.5\).

Front

What is the first step in solving an addition problem involving fractions?

Back

The first step in solving an addition problem involving fractions is to find a common denominator.