5th Grade Math Ohio State Test Printable DISTANCE LEARNING / TEST ... - Free Printable

You're working on Ohio State Test Review – 5th Grade, Day 2, and you’ve uploaded an image with several math problems. I’ll solve each one step by step and explain the reasoning.

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## 🔹 Problem 6: Ordering Prices from Least to Most Expensive

Given:
- Box of cereal: $2.07
- Can of soup: $1.89
- Loaf of bread: $3.25
- Bottle of milk: $2.99

Task: Order from least to most expensive.

✔ Solution:

Compare the decimal values:

1. $1.89 (Can of soup) ← smallest
2. $2.07 (Box of cereal)
3. $2.99 (Bottle of milk)
4. $3.25 (Loaf of bread) ← largest

> Answer:
> - Least → Most:
> Can of soup → Box of cereal → Bottle of milk → Loaf of bread

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## 🔹 Problem 7: Expression Evaluation — 78 ÷ 10³

Expression: 78 ÷ 10³

✔ Step-by-step:

1. 10³ = 10 × 10 × 10 = 1000
2. So, 78 ÷ 1000 = 0.078

✔ What happens to the digits?

Dividing by 1000 moves the decimal point 3 places to the left.

Original: 78.0 → becomes 0.078

✔ Answer Choice:

> D. The digits will move 3 place values to the left.

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## 🔹 Problem 8: Rectangle Area and Unit Square Side Length

Given:
- Rectangle is shown (assume dimensions are visible in original image — since it’s not here, we’ll deduce from answer choices).
- Question: “What is a possible side length of a unit square that could be used to tile the rectangle?”

This implies the rectangle can be tiled perfectly with small squares of equal size — so the side length must be a common factor of the rectangle’s length and width.

Since the answer choices are fractions:
A. ½ B. ⅓ C. ¼ D. ⅙

And without seeing the actual rectangle, we can reason:

If the rectangle has whole number dimensions (e.g., 3 units by 2 units), then a unit square with side ½ would fit (since 3 ÷ ½ = 6, 2 ÷ ½ = 4 — both integers).

But if the rectangle is, say, 3 by 4, then ½ works (6×8 tiles), ¼ works (12×16 tiles), etc.

However, since ¼ is a common choice for such problems and allows tiling even smaller rectangles, and given that ¼ divides into many whole numbers cleanly, it’s likely the intended answer.

Also, if the rectangle was, for example, 1 unit by 1.5 units, then ¼ would still work (4 tiles wide, 6 tiles tall).

But let’s look at the answer choices again — they’re all unit fractions.

The key is: “a possible” — so any that divides evenly into both dimensions.

Since no diagram is available, and this is a multiple-choice question, C. ¼ is often the correct answer in such contexts because it’s a standard unit fraction that divides many common rectangle dimensions.

> ✔ Answer: C. ¼

*(Note: If you can provide the dimensions of the rectangle from the image, I can give a more precise answer.)*

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## 🔹 Problem 9: Scientific Notation — 4.83 × 10⁴

Question: What is 4.83 × 10⁴?

✔ Step-by-step:

10⁴ = 10,000

So, 4.83 × 10,000 = 48,300

Move decimal point 4 places to the right (since exponent is positive):

4.83 → 48.3 → 483 → 4,830 → 48,300

> ✔ Answer: 48,300

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## ✔ Final Answers Summary:

| Problem | Answer |
|---------|--------|
| 6 | Can of soup → Box of cereal → Bottle of milk → Loaf of bread |
| 7 | D. The digits will move 3 place values to the left. |
| 8 | C. ¼ *(assuming standard test context)* |
| 9 | 48,300 |

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Let me know if you want help with other days or need visuals explained further! 😊