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Week 06 · Expressions

Wednesday

Write expressions
// Parentheses first, and expressions in words
⏱ about 15 min

Wednesday: Write expressions

Oliver leaves clue cards along the trail, each one written in careful words.

Bennie finds the first card. It says, "Add 8 and 7, then multiply by 2."

"I can write that with numbers," Bennie says. He writes 2 × 8 + 7.

Oliver tilts his head. "Read your expression again," he says gently.

"Which part do you work out first?" Bennie looks again.

"Oh! I must add 8 and 7 first, so they need parentheses."

He writes 2 × (8 + 7). Oliver hoots happily.

Learn it: words to an expression

Words like "then" tell you the order of the steps.

The step that comes first often goes inside parentheses.

"Add 8 and 7, then multiply by 2" is 2 × (8 + 7). Its value is 30.

2 × 8 + 7 means something else: multiply first, then add 7. Its value is 23.

Some words name a result. A sum is an addition result, and a difference is a subtraction result.

"Multiply 5 by the sum of 6 and 2" is 5 × (6 + 2).

Five equal groups with eight dots in each group
WORDS TO EXPRESSIONS
  • Read the question.
  • Tap your answer.
Add 8 and 7, then multiply by 2.
Multiply 4 by 6, then subtract 5.
Add 9 and 3, then divide by 4.
Multiply 5 by the sum of 6 and 2.
EXPRESSIONS TO WORDS
  • Read the question.
  • Tap your answer.
What does 3 × (5 + 2) mean?
What does 12 - 4 × 2 mean?
What does (18 - 6) ÷ 3 mean?
What does 2 × 9 + 1 mean?
STORY EXPRESSIONS
  • Read the question.
  • Tap your answer.
An acornOliver has 4 bags with 6 acorns in each. He gives away 5 acorns. Which shows how many are left?
An appleBennie picks 3 apples from each of 5 trees, then 2 more from the ground. Which shows his apples?
A seedLucy has 18 seeds and finds 6 more. She shares them equally in 4 pots. Which shows each pot?
Lucy shares 18 seeds and 6 more seeds equally in 4 pots. How many seeds are in each pot?
ORDER THE STEPS FOR (4 + 5) × 3 - 7
  • Read the expression.
  • Tap the steps in order.
1First
2Next
3Last
SentenceTrue or false?
"Add 8 and 7, then multiply by 2" is written 2 × (8 + 7).?
"Multiply 4 by 6, then subtract 5" is written 4 × (6 - 5).?
"The sum of 6 and 2" means 6 + 2.?
2 × (8 + 7) = 30?
WHY THIS EXERCISE"Multiply 4 by 6, then subtract 5" is 4 × 6 - 5, because the multiplying comes first.
Try it
Ask a grown-up to say two steps in words, like "add 6 and 4, then multiply by 3."
Write the steps as an expression on paper.
Evaluate it.
Then switch: you say the words, and your grown-up writes the expression.
Draw Oliver's clue card and write its expression, 2 × (8 + 7).

Clever writing! Tomorrow Chris tells a story about very big expressions.

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