Studdy AI Logo
Math  /  Numbers & Operations

Question(88⋅Ncm)⋅□=?Nmm\left(88 \cdot \frac{\mathrm{N}}{\mathrm{cm}}\right) \cdot \square=? \frac{\mathrm{N}}{\mathrm{mm}}

Studdy Solution

STEP 1

1. The given equation involves converting between units of centimeters (cm) and millimeters (mm).
2. The conversion factor between centimeters and millimeters is known: 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}.
3. We need to find the missing multiplier that will make the left side of the equation equal to the right side in terms of the same unit.

STEP 2

1. Express the conversion factor between centimeters and millimeters.
2. Set up the equation to solve for the missing multiplier.
3. Simplify and solve for the missing multiplier.

STEP 3

Express the conversion factor between centimeters and millimeters.
1 cm=10 mm 1 \text{ cm} = 10 \text{ mm}

STEP 4

Set up the equation using the conversion factor. We need to convert the left side of the equation from centimeters to millimeters.
88⋅Ncm⋅ =?⋅Nmm 88 \cdot \frac{N}{\text{cm}} \cdot \boxed{ \ } = \frac{? \cdot N}{\text{mm}}
Since 1 cm=10 mm1 \text{ cm} = 10 \text{ mm}, we can multiply both sides by 10 to convert cm to mm:
88⋅Ncm⋅10=?⋅Nmm 88 \cdot \frac{N}{\text{cm}} \cdot 10 = \frac{? \cdot N}{\text{mm}}

STEP 5

Simplify the left side of the equation:
88⋅N⋅10cm=880⋅Nmm 88 \cdot \frac{N \cdot 10}{\text{cm}} = 880 \cdot \frac{N}{\text{mm}}
So, the equation becomes:
880⋅Nmm=?⋅Nmm 880 \cdot \frac{N}{\text{mm}} = \frac{? \cdot N}{\text{mm}}

STEP 6

Solve for the missing multiplier:
880⋅Nmm=?⋅Nmm 880 \cdot \frac{N}{\text{mm}} = \frac{? \cdot N}{\text{mm}}
Thus, the missing multiplier is:
880 \boxed{880}

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord