Question

math journal write a sum, difference, product, and quotient each with an approximate value of 6. the sum can only use decimals. the difference can only use mixed numbers. the product can only use negative numbers and at least one must be a fraction or decimal. the quotient should use only positive numbers and at least one should be a fraction or decimal.
end of lesson checklist
interactive glossary write a new entry for approximate. write at least one synonym for approximate.
self check go back to the unit 3 opener and see what you can check off.
lesson 14 use the four operations with negative numbers

Explanation:

Sum (using decimals):

Let's consider \(2.3 + 3.7\).
$$2.3+3.7 = 6$$

Difference (using mixed numbers):

Take \(8\frac{1}{2}-2\frac{1}{2}\).
First, convert to improper fractions: \(8\frac{1}{2}=\frac{17}{2}\), \(2\frac{1}{2}=\frac{5}{2}\).
Then \(\frac{17}{2}-\frac{5}{2}=\frac{17 - 5}{2}=\frac{12}{2}=6\)

Product (using negative numbers, at least one fraction/decimal):

Consider \((- 1.5)\times(-4)\)
Using the rule \(a\times b\) where \(a=-1.5\), \(b = - 4\), and \((-a)\times(-b)=a\times b\)
$$(-1.5)\times(-4)=6$$

Quotient (using positive numbers, at least one fraction/decimal):

Take \(12\div2\)
$$12\div2 = 6$$

Answer:

Sum: \(2.3 + 3.7\), Difference: \(8\frac{1}{2}-2\frac{1}{2}\), Product: \((-1.5)\times(-4)\), Quotient: \(12\div2\)