By Karen L. Anglin
I exploit this booklet to educate arithmetic vocabulary in my pre-algebra and algebra periods. It is going way past the textbook addition, subtraction, and so forth. phrases. It discusses turn-around phrases, comma placement, parentheses, and so forth. nice starting place for notice difficulties.
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Underline the expressions before and after BY, which correspond to the leading keyword DIVIDE. divide the sum of seven and a number by the same number minus three 2. Because each underlined expression contains a keyword, enclose each in parentheses. divide (the sum of seven and a number) by (the same number minus three) 3. Circle the leading keywords and indicate the BY and AND that they define. divide (the sum of seven and a number) by (the same number minus three) 4. Translate each underlined expression.
What is the number? The second IS is the only one translated to the = symbol. Any IS placed directly in front of a keyword for an operation does not indicate equality. When a number directly follows IS, however, IS does indicate equality. Remember: Mark the turnaround word to remind you to translate in the correct order. When a number is subtracted from twelve, the result is five. What is the number? The equation translates to 12 – x = 5. Check more of your translation abilities with Example 3.
The original problem reads: Twice the difference between three and a number is equal to four times the number. Every place you see the word “number” replace it with 1. Twice the difference between three and 1 (pause here because the IS acts as a separator) What is the difference between three and 1? The difference between three and 1 is 2 and twice 2 is 4. So, this expression evaluates as 4. ” Replace the number with 1. Four times 1 is also 4. Both your solution and your translation check using mental math.