Translating Expressions with Parentheses

This video tutorial provides practice in interpreting statements and writing them as mathematical expressions, emphasizing the use of parentheses. It covers various examples, including subtraction, multiplication, sums, and quotients, while highlighting the importance of the order of operations. The tutorial also demonstrates how to compare expressions without performing detailed calculations.

How would you write '700 minus 19, divided in half' as a mathematical expression?

• 700 - (19 / 2)

• 700 - 19 / 2

• (700 - 19) / 2

• (700 / 2) - 19

What is another way to write 'three times the sum of 56 and seven'?

• 3 * 56 + 7

• 3(56 + 7)

• (3 * 56) + 7

• 3 * (56 + 7)

Why is it important to use parentheses in the expression 'three times the sum of 56 and seven'?

• To ensure addition is done first

• To make it look neat

• To avoid confusion with subtraction

• To follow the order of operations

How would you write 'the sum of three times 56 and seven'?

• 3 * 56 + 7

• (3 * 56) + 7

• 56 + 7 * 3

• 3 * (56 + 7)

What is the standard way to interpret 'three times 56 plus seven' without parentheses?

• Add 56 and seven first, then multiply by three

• Multiply three and 56 first, then add seven

• Add three and 56 first, then add seven

• Multiply three and seven first, then add 56

How would you write '43 minus the sum of 16 and 11'?

• 43 - 16 - 11

• 43 - 16 + 11

• 43 - (16 + 11)

• (43 - 16) + 11

Why are parentheses important in the expression '43 minus the sum of 16 and 11'?

• To make it look neat

• To avoid confusion with multiplication

• To ensure addition is done first

• To ensure subtraction is done first

How would you write '10 times the quotient of 104 and eight'?

• 104 / (10 * 8)

• 10 / (104 * 8)

• 10 * (104 / 8)

• (10 * 104) / 8

How would you write 'four times as large as the expression 175 minus 58'?

• 175 - 58 * 4

• 4 * 175 - 58

• 4 * (175 - 58)

• (4 * 175) - 58

If you have two expressions, one being two times a number and the other being seven times the same number, which one is larger?

• The one with two times the number

• It depends on the number

• Both are equal

• The one with seven times the number