expanded notation
Reading Passage 1
Number Wall Game
Jake and Maya were doing a math game at school. They had to match numbers on the number wall. Each tile showed a number in expanded notation.
One tile said: (7 × 10) + (2 × 1) + (3 × 1/10) + (4 × 1/100) + (5 × 1/1000).
Jake said, “This is expanded notation. It shows how much each digit is worth.”
Maya said, “The 7 is in the tens place. The 2 is in the ones place. The 3 is in the tenths place.”
Jake added, “The 4 is in the hundredths place. The 5 is in the thousandths place. All together, it makes 72.345.”
They found the tile with that number and put it in the right spot.
Jake said, “Expanded notation helps me see the parts of a number.”
Then they ran to the next puzzle.
Reading Passage 2
Number Trail Adventures
Jake and his cousin Maya were working together on a math scavenger hunt at school. Their goal was to solve a puzzle hidden in a giant number wall on the playground. Each tile had a number written in expanded notation, and they had to match it to the number in standard form.
One tile showed: (7 × 10) + (2 × 1) + (3 × 1/10) + (4 × 1/100) + (5 × 1/1000). Jake stared at it. “This is expanded notation,” he said. “It shows how each digit has a value based on its place.”
Maya nodded. “Right! The 7 is in the tens place, so it’s worth seventy. The 2 is in the ones place, and the 3 is in the tenths place.”
Jake continued, “Then the 4 is in the hundredths place, and the 5 is in the thousandths place. When we add them all together, we get the number: 72.345.”
They ran to find the tile with 72.345 written on it and placed it on the puzzle board. “That’s one down!” said Maya. As they moved to the next clue, Jake grinned. “I like how expanded notation helps me really see what each digit is worth. It’s like breaking the number into pieces.”
They high-fived and sprinted to the next challenge.
Reading Passage 3
Cracking the Number Wall
Jake and Maya joined a school math competition. In one round, they faced a massive number wall. Every tile showed a number in expanded notation. To move on, they had to match each one to its standard form.
Jake examined a tile: (7 × 10) + (2 × 1) + (3 × 1/10) + (4 × 1/100) + (5 × 1/1000).
“This is expanded notation,” he explained. “Each digit’s value depends on its place in the number.”
Maya pointed out the parts. “7 is in the tens place, 2 is in the ones place, 3 is in the tenths place, 4 in the hundredths, and 5 in the thousandths.”
“Putting it all together, we get 72.345,” said Jake.
They grabbed the correct tile and added it to the board. Jake said, “Expanded notation makes it easier to break down a number and understand what each part means.”
They raced off toward the final puzzle, excited to solve more.