The Number System

Use this for “How many 3/4-cup servings are in 2 1/4 cups?” (type 2 1/4 as 9/4).

Use this when 2/3 gallon fills 3/4 of a tank: how much fills the whole tank?

Use this for “Is 6 ÷ 1/4 more or less than 6?” before dividing.

Use this for “1,431 ÷ 99 = ?” when it doesn’t come out even: 14 remainder 45.

Use this for “Find the value of (0.052)(0.36),” or 2.35 × 1.4.

Use this for “$18.25 − $6.40,” or 9.3 − 4.56.

Use this for “3.6 ÷ 1.2”: make the divisor whole, then divide.

Use this for “What is the least common multiple of 6 and 9?”

Use this for “Find the greatest common factor of 84 and 60.”

Use this for “Write 36 + 8 as a product of the GCF and a sum.”

Use this for “Does the problem need the GCF or the LCM?”

Use this for the change from −5 °C up to 3 °C, or a drop from 8 °C to −2 °C.

Use this to compare −8.5 and −8, or −6 and 4, on the number line, and their absolute values.

Use this for “Order from least to greatest: −6, −2 1/2, 3/4, |−5|.”

Use this for “A drop of 8 degrees is −8”: everyday positive and negative amounts.

Use this for “Reflect (3, −4) across the x-axis. What are its new coordinates?”

Use this for “A rectangle has corners at (−2, 3) and (5, −2). Find its area.”

Use this for “In which quadrant is (−3, 5)?”